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_________________________________________________________ Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction _________________________________________________________ JULY 2011 MAVERICK UNITED CONSULTING ENGINEERS

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Page 1: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

_________________________________________________________

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

_________________________________________________________

JULY 2011

MAVERICK UNITED CONSULTING ENGINEERS

Page 2: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

2

TABLE OF CONTENTS

ACKNOWLEDGEMENTS ............................................................................................................................. 3

1.0 INTRODUCTION AND SCOPE ......................................................................................................... 4

2.0 OBJECTIVES .................................................................................................................................... 4

3.0 ASSUMPTIONS AND LIMITATIONS ................................................................................................. 4

4.0 GEOMETRICAL PARAMETERS ....................................................................................................... 5

5.0 MATERIAL AND LOADING PARAMETERS ..................................................................................... 5

6.0 STANDARD ONE-WAY SPANNING RC SLAB DESIGNS ................................................................ 6

7.0 STANDARD TWO-WAY SPANNING RC SLAB DESIGNS ............................................................. 12

8.0 STANDARD RC BEAM DESIGNS ................................................................................................... 18

9.0 STANDARD RC COLUMN AND RC WALL DESIGNS .................................................................... 43

10.0 STANDARD PLAIN WALL DESIGNS ............................................................................................. 47

11.0 STANDARD RC STAIRCASE DESIGNS ......................................................................................... 48

12.0 STANDARD BASEMENT (PROPPED) RC RETAINING WALL DESIGNS ..................................... 51

13.0 STANDARD CANTILEVER RC RETAINING WALL DESIGNS ....................................................... 61

14.0 STANDARD FOUNDATION LOADING ESTIMATION ..................................................................... 69

15.0 STANDARD SHALLOW FOUNDATION ALLOWABLE (SAFE) NET (EFFECTIVE)

BEARING CAPACITY ..................................................................................................................... 70

16.0 STANDARD RC PAD FOUNDATION DESIGNS ........................................................................... 101

17.0 STANDARD RC STRIP FOUNDATION DESIGNS ........................................................................ 105

18.0 STANDARD RC SOLID RAFT / STRIPPED RAFT FOUNDATION DESIGNS ............................... 109

19.0 STANDARD RC PILE AND RC PILE CAP FOUNDATION DESIGNS ........................................... 117

APPENDIX: SOIL RELATIONSHIPS ........................................................................................................ 126

REFERENCES AND BIBLIOGRAPHY ..................................................................................................... 129

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

3

ACKNOWLEDGEMENTS

My humble gratitude to the Almighty, to Whom this and all work is dedicated.

A special thank you also to my teachers at Imperial College of Science, Technology and Medicine, London and my

fellow engineering colleagues at Ove Arup and Partners London and Ramboll Whitbybird London.

A note of gratitude also to my colleague Mr. Loh of G&P Professionals, Kuala Lumpur for his invaluable verification of

the numerical contents of this book.

Maverick United Consulting Engineers

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

4

1.0 INTRODUCTION AND SCOPE

This document is limited in its application to low-rise residential construction in reinforced concrete such as

bungalows, semi-detached houses and link / terrace houses.

2.0 OBJECTIVES

The objectives of this document amongst others are as follows:-

i. To serve as a design tool for preliminary frame scheming and member sizing

ii. To serve as a verification tool to automated computer generated design outputs by the designer or her

peer reviewer

iii. To serve as an invaluable tool for quick alternative designs during project design team meetings and

workshops

iv. To serve as a quick design guide for the visiting Project Design Engineer at site should a scenario which

questions the correctness of her drawings arise

The author wishes to emphasize that this design document only serves as a quick design and analysis aid to

experienced structural engineers that have, in the course of the years, mastered the rigours of manual hand-based

structural analysis and calculation, and is not a substitute for sound engineering knowledge and experience.

3.0 ASSUMPTIONS AND LIMITATIONS

The design solutions presented herein make the following assumptions:-

i. section design is based upon BS8110 plastic design of sections

ii. only singly reinforced section designs presented, doubly reinforced sections are not included

Further considerations that need to be addressed by the designers are, but not limited to, as follows:-

i. lateral stability

ii. disproportionate collapse requirements

iii. robustness

iv. p-delta effects

The design solutions presented herein are NOT suitable for employment on structures that are also subject to the

following effects:-

i. large-strain dynamic effects, e.g. earthquake designs which necessitate the implementation of capacity

design principles which stipulates firstly the optimum location and sequence of attainment of

member capacity (e.g. attainment of beam plastic moment capacity prior to attainment of column plastic

moment capacity in moment frame lateral stability systems) and secondly the favourable mechanism of

deformation (e.g. elemental attainment of plastic moment capacity prior to elemental attainment of shear

capacity)

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

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4.0 GEOMETRICAL PARAMETERS

The effective spans of simply-supported, continuous and cantilever elements are as per cl.3.4.1.2, cl.3.4.1.3

and cl.3.4.1.4 BS8110, reproduced herein as follows:-

cl.3.4.1.2 Effective span of simply-supported beams

The effective span of a simply-supported beam may be taken as the smaller of the distance between the centres

of bearings, or the clear distance between supports plus the effective depth.

cl.3.4.1.3 Effective span of a continuous member

The effective span of a continuous member should be taken as the distance between centres of supports. The

centre of action of support at an encastré end should be taken to be at half the effective depth from the face of the

support.

cl.3.4.1.4 Effective length of a cantilever

The effective length of a cantilever should be taken as its length to the face of the support plus half its effective

depth except where it forms the end of a continuous beam where the length to the centre of the support should be

used.

5.0 MATERIAL AND LOADING PARAMETERS

The following design parameters are adopted throughout the document unless specifically noted otherwise.

Aspect Explanation

1 Concrete strength

specification

Superstructure C25 i.e. 25N/mm2 cube (compressive) characteristic strength

Substructure C30 i.e. 30N/mm2 cube (compressive) characteristic strength

Retaining walls C30 i.e. 30N/mm2 cube (compressive) characteristic strength

2 Concrete density Normal weight concrete 24kN/m3

3 Steel strength specification

T460 N/mm2 longitudinal reinforcement bars

T460 N/mm2 shear link reinforcement bars

R250 N/mm2 shear link reinforcement bars

4 Load factors and

combination 1.4(dead load) + 1.4(superimposed dead load) + 1.6(live load)

5 Concrete covers Slabs, beams, columns, walls all 25mm UNO

Live loading definitions of BS6399-1:1996 and BS EN 1991-1-1:2002 adopted are as follows:-

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

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6.0 STANDARD ONE-WAY SPANNING RC SLAB DESIGNS

Interior multi-bay panel

End multi-bay panel

Simply supported panel

Moment and shear analyses are based on the following equations. Note that these static analyses coefficients

adopt an elasto-plastic approach with an assumed 20% moment redistribution.

Moment design is based on the following equations.

Note due to 20% moment redistribution, b = assumed 1.20 (sagging) and 0.80 (hogging). Note that bending

stress ratio limit, K' for b ≥ 0.90 truncated at 0.156.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Deflection design is based on the following equations.

Deflection modification factor due to compression reinforcement not incorporated.

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

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The following tables implicitly assume load cases as follows:-

Dead load, DL = 24kN/m3 . slab thickness

Live load, LL = 1.50kPa

Superimposed dead load, SDL = 1.20kPa

DL = 115 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 5.5kPa; ULS = 7.9kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

2.500 21.7 T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%)

2.750 23.9 T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T9-200 (0.28%) T7-200 (0.17%)

3.000 26.1 T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T12-200 (0.49%) T7-200 (0.17%)

3.250 28.3 T7-200 (0.17%) T7-200 (0.17%) T8-200 (0.22%) T8-200 (0.22%) N/A N/A

3.500 30.4 T7-200 (0.17%) T7-200 (0.17%) T10-200 (0.34%) T8-200 (0.22%) N/A N/A

3.750 32.6 T8-200 (0.22%) T8-200 (0.22%) T12-150 (0.66%) T9-200 (0.28%) N/A N/A

4.000 34.8 T10-200 (0.34%) T8-200 (0.22%) N/A N/A N/A N/A

4.250 37.0 T12-150 (0.66%) T9-200 (0.28%) N/A N/A N/A N/A

DL = 125 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 5.7kPa; ULS = 8.3kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

2.500 20.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%)

2.750 22.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T8-200 (0.20%) T7-200 (0.15%)

3.000 24.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T9-200 (0.25%) T7-200 (0.15%)

3.250 26.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T12-200 (0.45%) T7-200 (0.15%)

3.500 28.0 T7-200 (0.15%) T7-200 (0.15%) T8-200 (0.20%) T8-200 (0.20%) T12-100 (0.90%) T7-200 (0.15%)

3.750 30.0 T7-200 (0.15%) T7-200 (0.15%) T10-200 (0.31%) T9-200 (0.25%) N/A N/A

4.000 32.0 T8-200 (0.20%) T8-200 (0.20%) T12-200 (0.45%) T9-200 (0.25%) N/A N/A

4.250 34.0 T9-200 (0.25%) T8-200 (0.20%) T12-100 (0.90%) T10-200 (0.31%) N/A N/A

4.500 36.0 T12-200 (0.45%) T9-200 (0.25%) N/A N/A N/A N/A

4.750 38.0 T12-100 (0.90%) T10-200 (0.31%) N/A N/A N/A N/A

DL = 150 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 6.3kPa; ULS = 9.1kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

3.250 21.7 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%)

3.500 23.3 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T9-200 (0.21%) T8-200 (0.17%)

3.750 25.0 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T12-200 (0.38%) T8-200 (0.17%)

4.000 26.7 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T12-150 (0.50%) T8-200 (0.17%)

4.250 28.3 T8-200 (0.17%) T8-200 (0.17%) T9-200 (0.21%) T9-200 (0.21%) T12-100 (0.75%)

T16-150 (0.89%) T8-200 (0.17%)

4.500 30.0 T8-200 (0.17%) T8-200 (0.17%) T10-200 (0.26%) T10-200 (0.26%) N/A N/A

4.750 31.7 T9-200 (0.21%) T9-200 (0.21%) T12-200 (0.38%) T10-200 (0.26%) N/A N/A

5.000 33.3 T9-200 (0.21%) T9-200 (0.21%) T16-200 (0.67%)

T12-100 (0.75%) T12-200 (0.38%) N/A N/A

5.250 35.0 T12-200 (0.38%) T10-200 (0.26%) T16-100 (1.34%) T12-200 (0.38%) N/A N/A

5.500 36.7 T12-200 (0.38%) T10-200 (0.26%) N/A N/A N/A N/A

5.750 38.3 T16-200 (0.67%)

T12-100 (0.75%) T12-200 (0.38%) N/A N/A N/A N/A

6.000 40.0 T16-100 (1.34%) T12-200 (0.38%) N/A N/A N/A N/A

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

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DL = 175 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 6.9kPa; ULS = 10.0kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

3.250 18.6 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%)

3.500 20.0 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T8-200 (0.14%)

3.750 21.4 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T8-200 (0.14%)

4.000 22.9 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T10-200 (0.22%) T8-200 (0.14%)

4.250 24.3 T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T9-200 (0.18%) T12-200 (0.32%) T8-200 (0.14%)

4.500 25.7 T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T9-200 (0.18%) T12-150 (0.43%) T8-200 (0.14%)

4.750 27.1 T8-200 (0.14%) T8-200 (0.14%) T10-200 (0.22%) T10-200 (0.22%) T16-200 (0.57%)

T12-100 (0.65%)

T8-200 (0.14%)

T9-200 (0.18%)

5.000 28.6 T9-200 (0.18%) T9-200 (0.18%) T10-200 (0.22%) T10-200 (0.22%) T16-100 (1.15%) T9-200 (0.18%)

5.250 30.0 T9-200 (0.18%) T9-200 (0.18%) T12-200 (0.32%) T12-200 (0.32%) N/A N/A

5.500 31.4 T9-200 (0.18%) T9-200 (0.18%) T12-150 (0.43%) T12-200 (0.32%) N/A N/A

5.750 32.9 T10-200 (0.22%) T10-200 (0.22%) T16-200 (0.57%)

T12-100 (0.65%) T12-200 (0.32%) N/A N/A

6.000 34.3 T12-200 (0.32%) T12-200 (0.32%) T16-100 (1.15%) T12-200 (0.32%) N/A N/A

6.250 35.7 T12-200 (0.32%) T12-200 (0.32%) N/A N/A N/A N/A

6.500 37.1 T12-150 (0.43%) T12-200 (0.32%) N/A N/A N/A N/A

6.750 38.6 T12-100 (0.65%)

T16-150 (0.77%) T12-200 (0.32%) N/A N/A N/A N/A

7.000 40.0 T16-100 (1.15%) T12-200 (0.32%) N/A N/A N/A N/A

DL = 200 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 7.5kPa; ULS = 10.8kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

4.000 20.0 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%)

4.250 21.3 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T9-200 (0.16%)

4.500 22.5 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T9-200 (0.16%)

4.750 23.8 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T12-200 (0.28%) T9-200 (0.16%)

5.000 25.0 T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T10-200 (0.20%) T12-150 (0.38%) T9-200 (0.16%)

5.250 26.3 T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T10-200 (0.20%) T16-200 (0.50%)

T12-100 (0.57%) T9-200 (0.16%)

5.500 27.5 T9-200 (0.16%) T9-200 (0.16%) T12-200 (0.28%) T12-200 (0.28%) T12-100 (0.57%)

T16-150 (0.67%) T9-200 (0.16%)

5.750 28.8 T9-200 (0.16%) T9-200 (0.16%) T12-200 (0.28%) T12-200 (0.28%) T16-100 (1.01%) T10-200 (0.20%)

6.000 30.0 T10-200 (0.20%) T10-200 (0.20%) T12-200 (0.28%) T12-200 (0.28%) N/A N/A

6.250 31.3 T10-200 (0.20%) T10-200 (0.20%) T12-150 (0.38%) T12-200 (0.28%) N/A N/A

6.500 32.5 T12-200 (0.28%) T12-200 (0.28%) T16-200 (0.50%)

T12-100 (0.57%) T12-150 (0.38%) N/A N/A

6.750 33.8 T12-200 (0.28%) T12-200 (0.28%) T16-150 (0.67%) T12-150 (0.38%) N/A N/A

7.000 35.0 T12-200 (0.28%) T12-200 (0.28%) T16-100 (1.01%) T12-150 (0.38%) N/A N/A

7.250 36.3 T12-150 (0.38%) T12-200 (0.28%) N/A N/A N/A N/A

7.500 37.5 T16-200 (0.50%)

T12-100 (0.57%) T12-150 (0.38%) N/A N/A N/A N/A

7.750 38.8 T12-100 (0.57%)

T16-150 (0.67%) T12-150 (0.38%) N/A N/A N/A N/A

8.000 40.0 T16-100 (1.01%) T12-150 (0.38%) N/A N/A N/A N/A

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9

The following tables implicitly assume load cases as follows:-

Dead load, DL = 24kN/m3 . slab thickness

Live load, LL = 4.00kPa

Superimposed dead load, SDL = 1.20kPa

DL = 115 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 8.0kPa; ULS = 11.9kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

2.000 17.4 T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%)

2.250 19.6 T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T8-200 (0.22%) T7-200 (0.17%)

2.500 21.7 T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T7-200 (0.17%) T10-200 (0.34%) T7-200 (0.17%)

2.750 23.9 T7-200 (0.17%) T7-200 (0.17%) T8-200 (0.22%) T8-200 (0.22%) T12-150 (0.66%) T7-200 (0.17%)

3.000 26.1 T7-200 (0.17%) T7-200 (0.17%) T9-200 (0.28%) T9-200 (0.28%) N/A N/A

3.250 28.3 T8-200 (0.22%) T8-200 (0.22%) T12-200 (0.49%) T9-200 (0.28%) N/A N/A

3.500 30.4 T9-200 (0.28%) T9-200 (0.28%) N/A N/A N/A N/A

3.750 32.6 T12-200 (0.49%) T9-200 (0.28%) N/A N/A N/A N/A

DL = 125 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 8.2kPa; ULS = 12.3kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

2.000 16.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%)

2.250 18.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T8-200 (0.20%) T7-200 (0.15%)

2.500 20.0 T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T7-200 (0.15%) T8-200 (0.20%) T7-200 (0.15%)

2.750 22.0 T7-200 (0.15%) T7-200 (0.15%) T8-200 (0.20%) T8-200 (0.20%) T10-200 (0.31%) T7-200 (0.15%)

3.000 24.0 T7-200 (0.15%) T7-200 (0.15%) T8-200 (0.20%) T8-200 (0.20%) T12-150 (0.60%) T7-200 (0.15%)

3.250 26.0 T8-200 (0.20%) T8-200 (0.20%) T9-200 (0.25%) T9-200 (0.25%) N/A N/A

3.500 28.0 T8-200 (0.20%) T8-200 (0.20%) T12-200 (0.45%) T10-200 (0.31%) N/A N/A

3.750 30.0 T9-200 (0.25%) T9-200 (0.25%) T12-100 (0.90%) T12-200 (0.45%) N/A N/A

4.000 32.0 T12-200 (0.45%) T10-200 (0.31%) N/A N/A N/A N/A

4.250 34.0 T12-100 (0.90%) T10-200 (0.31%) N/A N/A N/A N/A

DL = 150 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 8.8kPa; ULS = 13.1kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

2.750 18.3 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%)

3.000 20.0 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T9-200 (0.21%) T8-200 (0.17%)

3.250 21.7 T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T8-200 (0.17%) T10-200 (0.26%) T8-200 (0.17%)

3.500 23.3 T8-200 (0.17%) T8-200 (0.17%) T9-200 (0.21%) T9-200 (0.21%) T12-150 (0.50%) T8-200 (0.17%)

3.750 25.0 T8-200 (0.17%) T8-200 (0.17%) T9-200 (0.21%) T9-200 (0.21%) T16-200 (0.67%)

T12-100 (0.75%) T8-200 (0.17%)

4.000 26.7 T9-200 (0.21%) T9-200 (0.21%) T10-200 (0.26%) T10-200 (0.26%) N/A N/A

4.250 28.3 T9-200 (0.21%) T9-200 (0.21%) T12-200 (0.38%) T12-200 (0.38%) N/A N/A

4.500 30.0 T10-200 (0.26%) T10-200 (0.26%) T16-200 (0.67%)

T12-100 (0.75%) T12-200 (0.38%) N/A N/A

4.750 31.7 T12-200 (0.38%) T12-200 (0.38%) T16-100 (1.34%) T12-200 (0.38%) N/A N/A

5.000 33.3 T12-150 (0.50%) T12-200 (0.38%) N/A N/A N/A N/A

5.250 35.0 T12-100 (0.75%) T12-200 (0.38%) N/A N/A N/A N/A

Page 10: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

10

DL = 175 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 9.4kPa; ULS = 14.0kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

2.750 15.7 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%)

3.000 17.1 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T8-200 (0.14%)

3.250 18.6 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T8-200 (0.14%)

3.500 20.0 T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T8-200 (0.14%) T10-200 (0.22%) T8-200 (0.14%)

3.750 21.4 T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T9-200 (0.18%) T12-200 (0.32%) T8-200 (0.14%)

4.000 22.9 T8-200 (0.14%) T8-200 (0.14%) T9-200 (0.18%) T9-200 (0.18%) T12-150 (0.43%) T9-200 (0.18%)

4.250 24.3 T9-200 (0.18%) T9-200 (0.18%) T10-200 (0.22%) T10-200 (0.22%) T16-200 (0.57%)

T12-100 (0.65%) T9-200 (0.18%)

4.500 25.7 T9-200 (0.18%) T9-200 (0.18%) T12-200 (0.32%) T12-200 (0.32%) T16-150 (0.77%) T9-200 (0.18%)

4.750 27.1 T10-200 (0.22%) T10-200 (0.22%) T12-200 (0.32%) T12-200 (0.32%) N/A N/A

5.000 28.6 T10-200 (0.22%) T10-200 (0.22%) T12-150 (0.43%) T12-200 (0.32%) N/A N/A

5.250 30.0 T12-200 (0.32%) T12-200 (0.32%) T16-200 (0.57%)

T12-100 (0.65%) T12-150 (0.43%) N/A N/A

5.500 31.4 T12-200 (0.32%) T12-200 (0.32%) T16-100 (1.15%) T12-150 (0.43%) N/A N/A

5.750 32.9 T12-150 (0.43%) T12-200 (0.32%) N/A N/A N/A N/A

6.000 34.3 T16-200 (0.57%)

T12-100 (0.65%) T12-150 (0.43%) N/A N/A N/A N/A

6.250 35.7 T16-150 (0.77%) T12-150 (0.43%) N/A N/A N/A N/A

DL = 200 One-Way Spanning Slab [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 10.0kPa; ULS = 14.8kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay Panel End Multi-Bay Panel Simply Supported Panel

Sagging Hogging Sagging Hogging Sagging Hogging

3.250 16.3 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%)

3.500 17.5 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T9-200 (0.16%)

3.750 18.8 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T9-200 (0.16%)

4.000 20.0 T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T9-200 (0.16%) T12-200 (0.28%) T9-200 (0.16%)

4.250 21.3 T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T10-200 (0.20%) T12-200 (0.28%) T9-200 (0.16%)

4.500 22.5 T9-200 (0.16%) T9-200 (0.16%) T10-200 (0.20%) T10-200 (0.20%) T12-150 (0.38%) T9-200 (0.16%)

4.750 23.8 T9-200 (0.16%) T9-200 (0.16%) T12-200 (0.28%) T12-200 (0.28%) T16-200 (0.50%)

T12-100 (0.57%)

T9-200 (0.16%)

T10-200 (0.20%)

5.000 25.0 T10-200 (0.20%) T10-200 (0.20%) T12-200 (0.28%) T12-200 (0.28%) T12-100 (0.57%)

T16-150 (0.67%) T10-200 (0.20%)

5.250 26.3 T10-200 (0.20%) T10-200 (0.20%) T12-200 (0.28%) T12-200 (0.28%) T16-100 (1.01%) T10-200 (0.20%)

5.500 27.5 T12-200 (0.28%) T12-200 (0.28%) T12-150 (0.38%) T12-150 (0.38%) N/A N/A

5.750 28.8 T12-200 (0.28%) T12-200 (0.28%) T12-150 (0.38%) T12-150 (0.38%) N/A N/A

6.000 30.0 T12-200 (0.28%) T12-200 (0.28%) T12-100 (0.57%)

T16-150 (0.67%) T12-150 (0.38%) N/A N/A

6.250 31.3 T12-200 (0.28%) T12-200 (0.28%) T16-100 (1.01%) T16-200 (0.50%)

T12-100 (0.57%) N/A N/A

6.500 32.5 T12-150 (0.38%) T12-150 (0.38%) N/A N/A N/A N/A

6.750 33.8 T16-200 (0.50%)

T12-100 (0.57%) T12-150 (0.38%) N/A N/A N/A N/A

7.000 35.0 T12-100 (0.57%)

T16-150 (0.67%) T12-150 (0.38%) N/A N/A N/A N/A

7.250 36.3 T16-100 (1.01%) T16-200 (0.50%)

T12-100 (0.57%) N/A N/A N/A N/A

Page 11: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

11

The following tables implicitly assume load cases as follows:-

Dead load, DL = 24kN/m3 . slab thickness

Live load, LL = 3.00kPa

Superimposed dead load, SDL = 1.20kPa

Cantilever Slab

SDL = 1.2kPa; LL= 3.0kPa; # Slab

Thickness

[Cover

25mm]

Effective

Span (m) Span / Slab

THK Ratio

ULS Effects # Reinforcement

ULS (kPa)

Bending

Moment, M

(kNm/m)

Shear

Force,

V (kN/m)

M/bd2

(N/mm2)

Number

& Size

(mm)

Area

(mm2/m)

% Steel

115 1.038 9.0 10.3 5.6 10.7 0.74 T7-200 192 0.17

115 1.095 9.5 10.3 6.2 11.3 0.84 T8-200 251 0.22

115 1.139 9.9 10.3 6.7 11.8 0.92 T9-200 318 0.28

115 1.171 10.2 10.3 7.1 12.1 0.98 T10-200 393 0.34

115 1.176 10.2 10.3 7.2 12.2 1.01 T12-200 565 0.49

125 1.115 8.9 10.7 6.6 11.9 0.71 T7-200 192 0.15

125 1.183 9.5 10.7 7.5 12.6 0.81 T8-200 251 0.20

125 1.235 9.9 10.7 8.1 13.2 0.89 T9-200 318 0.25

125 1.274 10.2 10.7 8.7 13.6 0.96 T10-200 393 0.31

125 1.316 10.5 10.7 9.2 14.1 1.05 T12-200 565 0.45

150 1.376 9.2 11.5 10.9 15.8 0.74 T8-200 251 0.17

150 1.450 9.7 11.5 12.1 16.7 0.83 T9-200 318 0.21

150 1.510 10.1 11.5 13.1 17.4 0.91 T10-200 393 0.26

150 1.594 10.6 11.5 14.6 18.4 1.03 T12-200 565 0.38

150 1.654 11.0 11.5 15.8 19.1 1.11 T12-150 754 0.50

150 1.666 11.1 11.5 16.0 19.2 1.13 T12-100 1131 0.75

175 1.540 8.8 12.4 14.6 19.0 0.69 T8-200 251 0.14

175 1.636 9.3 12.4 16.5 20.2 0.78 T9-200 318 0.18

175 1.715 9.8 12.4 18.2 21.2 0.86 T10-200 393 0.22

175 1.832 10.5 12.4 20.7 22.6 1.00 T12-200 565 0.32

175 1.915 10.9 12.4 22.7 23.7 1.09 T12-150 754 0.43

175 1.959 11.2 12.4 23.7 24.2 1.18 T16-200 1005 0.57

175 2.007 11.5 12.4 24.9 24.8 1.20 T12-100 1131 0.65

200 1.796 9.0 13.2 21.3 23.7 0.73 T9-200 318 0.16

200 1.894 9.5 13.2 23.7 25.0 0.82 T10-200 393 0.20

200 2.044 10.2 13.2 27.6 27.0 0.97 T12-200 565 0.28

200 2.151 10.8 13.2 30.5 28.4 1.07 T12-150 754 0.38

200 2.218 11.1 13.2 32.5 29.3 1.16 T16-200 1005 0.50

200 2.272 11.4 13.2 34.1 30.0 1.19 T12-100 1131 0.57

200 2.289 11.4 13.2 34.6 30.2 1.24 T16-150 1340 0.67

200 2.338 11.7 13.2 36.1 30.9 1.29 T16-100 2011 1.01

# Note slab thickness and reinforcement should continue though into the back-span of at least equivalent span to support the cantilever span

such that there is negligible net rotation at the cantilever support.

Page 12: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

12

7.0 STANDARD TWO-WAY SPANNING RC SLAB DESIGNS

Interior multi-bay panel

End multi-bay panel

Corner multi-bay panel

Interior single-bay panel

Simply supported panel

Moment and shear analyses are based on the following equations.

Moment design is based on the following equations.

Note for all two-way spanning slab tables hereafter, the effective depth is calculated w.r.t. the inner steel layer.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Deflection design is based on the following equations.

Deflection modification factor due to compression reinforcement not incorporated.

Page 13: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

13

The following tables implicitly assume load cases as follows:-

Dead load, DL = 24kN/m3 . slab thickness

Superimposed dead load, SDL = 1.20kPa

Live load, LL = 1.50kPa

DL = 115 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 5.5kPa; ULS = 7.9kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior

Multi-Bay Panel

End

Multi-Bay Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

3.000 26.1 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

3.250 28.3 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

3.500 30.4 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

3.750 32.6 T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

4.000 34.8 T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

DL = 125 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 5.7kPa; ULS = 8.3kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

3.250 26.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.15%)

T7-200

(0.15%)

T7-200

(0.15%)

T7-200

(0.15%)

3.500 28.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

3.750 30.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

4.000 32.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

4.250 34.0 T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

4.500 36.0 T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

DL = 150 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 6.3kPa; ULS = 9.1kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

4.000 26.7 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

4.250 28.3 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T10-200

(0.26%)

T8-200

(0.17%)

T10-200

(0.26%)

T8-200

(0.17%)

4.500 30.0 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A

4.750 31.7 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A

5.000 33.3 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A

5.250 35.0 T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

5.500 36.7 T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

5.750 38.3 T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

Page 14: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

14

DL = 175 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 6.9kPa; ULS = 10.0kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

4.500 25.7 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

4.750 27.1 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T9-200

(0.18%)

T8-200

(0.14%)

T9-200

(0.18%)

T8-200

(0.14%)

5.000 28.6 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T12-200

(0.32%)

T8-200

(0.14%)

T12-200

(0.32%)

T8-200

(0.14%)

5.250 30.0 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T12-150

(0.43%)

T8-200

(0.14%)

T12-150

(0.43%)

T8-200

(0.14%)

5.500 31.4 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%) N/A N/A N/A N/A

5.750 32.9 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T9-200

(0.18%) N/A N/A N/A N/A

6.000 34.3 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T9-200

(0.18%)

T9-200

(0.18%) N/A N/A N/A N/A

6.250 35.7 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%) N/A N/A N/A N/A N/A N/A

6.500 37.1 T8-200

(0.14%)

T8-200

(0.14%) N/A N/A N/A N/A N/A N/A N/A N/A

6.750 38.6 T8-200

(0.14%)

T9-200

(0.18%) N/A N/A N/A N/A N/A N/A N/A N/A

7.000 40.0 T9-200

(0.18%)

T9-200

(0.18%) N/A N/A N/A N/A N/A N/A N/A N/A

DL = 200 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL = 1.5kPa; SLS= 7.5kPa; ULS = 10.8kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

5.250 26.3 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

5.500 27.5 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

5.750 28.8 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

6.000 30.0 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-150

(0.38%)

T9-200

(0.16%)

T12-150

(0.38%)

T9-200

(0.16%)

6.250 31.3 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-100

(0.57%)

T9-200

(0.16%)

T12-100

(0.57%)

T9-200

(0.16%)

6.500 32.5 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%) N/A N/A N/A N/A

6.750 33.8 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%) N/A N/A N/A N/A

7.000 35.0 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%)

T10-200

(0.20%) N/A N/A N/A N/A

7.250 36.3 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%) N/A N/A N/A N/A N/A N/A

7.500 37.5 T9-200

(0.16%)

T9-200

(0.16%) N/A N/A N/A N/A N/A N/A N/A N/A

7.750 38.8 T9-200

(0.16%)

T9-200

(0.16%) N/A N/A N/A N/A N/A N/A N/A N/A

8.000 40.0 T10-200

(0.20%)

T10-200

(0.20%) N/A N/A N/A N/A N/A N/A N/A N/A

Page 15: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

15

The following tables implicitly assume load cases as follows:-

Dead load, DL = 24kN/m3 . slab thickness

Superimposed dead load, SDL = 1.20kPa

Live load, LL = 4.00kPa

DL = 115 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 8.0kPa; ULS = 11.9kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

2.500 21.7 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

2.750 23.9 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T9-200

(0.28%)

T7-200

(0.17%)

T9-200

(0.28%)

T7-200

(0.17%)

3.000 26.1 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

3.250 28.3 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

3.500 30.4 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T8-200

(0.22%)

T8-200

(0.22%) N/A N/A N/A N/A

3.750 32.6 T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

4.000 34.8 T8-200

(0.22%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

DL = 125 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 8.2kPa; ULS = 12.3kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

2.750 22.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.15%)

T7-200

(0.15%)

T7-200

(0.15%)

T7-200

(0.15%)

3.000 24.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T9-200

(0.25%)

T7-200

(0.15%)

T9-200

(0.25%)

T7-200

(0.15%)

3.250 26.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T12-150

(0.60%)

T7-200

(0.15%)

T12-150

(0.60%)

T7-200

(0.15%)

3.500 28.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A

3.750 30.0 T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T7-200

(0.17%)

T8-200

(0.20%)

T8-200

(0.20%) N/A N/A N/A N/A

4.000 32.0 T7-200

(0.17%)

T7-200

(0.17%)

T8-200

(0.20%)

T8-200

(0.20%) N/A N/A N/A N/A N/A N/A

4.250 34.0 T7-200

(0.17%)

T7-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

4.500 36.0 N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

Page 16: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

16

DL = 150 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 8.8kPa; ULS = 13.1kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

3.500 23.3 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

3.750 25.0 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T10-200

(0.26%)

T8-200

(0.17%)

T10-200

(0.26%)

T8-200

(0.17%)

4.000 26.7 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T12-150

(0.50%)

T8-200

(0.17%)

T12-150

(0.50%)

T8-200

(0.17%)

4.250 28.3 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T12-100

(0.75%)

T8-200

(0.17%)

T12-100

(0.75%)

T8-200

(0.17%)

4.500 30.0 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T9-200

(0.21%) N/A N/A N/A N/A

4.750 31.7 T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T8-200

(0.17%)

T9-200

(0.21%)

T9-200

(0.21%) N/A N/A N/A N/A

5.000 33.3 T8-200

(0.17%)

T8-200

(0.17%)

T9-200

(0.21%)

T9-200

(0.21%) N/A N/A N/A N/A N/A N/A

5.250 35.0 T8-200

(0.17%)

T8-200

(0.17%) N/A N/A N/A N/A N/A N/A N/A N/A

5.500 36.7 T9-200

(0.21%)

T9-200

(0.21%) N/A N/A N/A N/A N/A N/A N/A N/A

DL = 175 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 9.4kPa; ULS = 14.0kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

4.000 22.9 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

4.250 24.3 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T10-200

(0.22%)

T8-200

(0.14%)

T10-200

(0.22%)

T8-200

(0.14%)

4.500 25.7 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T12-200

(0.32%)

T8-200

(0.14%)

T12-200

(0.32%)

T8-200

(0.14%)

4.750 27.1 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T12-150

(0.43%)

T8-200

(0.14%)

T12-150

(0.43%)

T8-200

(0.14%)

5.000 28.6 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T9-200

(0.18%)

T12-100

(0.65%)

T8-200

(0.14%)

T12-100

(0.65%)

T8-200

(0.14%)

5.250 30.0 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T9-200

(0.18%)

T9-200

(0.18%) N/A N/A N/A N/A

5.500 31.4 T8-200

(0.14%)

T8-200

(0.14%)

T8-200

(0.14%)

T9-200

(0.18%)

T10-200

(0.22%)

T10-200

(0.22%) N/A N/A N/A N/A

5.750 32.9 T8-200

(0.14%)

T9-200

(0.18%)

T9-200

(0.18%)

T9-200

(0.18%)

T12-200

(0.32%)

T10-200

(0.22%) N/A N/A N/A N/A

6.000 34.3 T8-200

(0.14%)

T9-200

(0.18%)

T10-200

(0.22%)

T10-200

(0.22%)

T12-150

(0.43%)

T12-200

(0.32%) N/A N/A N/A N/A

6.250 35.7 T9-200

(0.18%)

T10-200

(0.22%) N/A N/A N/A N/A N/A N/A N/A N/A

6.500 37.1 T10-200

(0.22%)

T10-200

(0.22%) N/A N/A N/A N/A N/A N/A N/A N/A

6.750 38.6 T12-200

(0.32%)

T10-200

(0.22%) N/A N/A N/A N/A N/A N/A N/A N/A

Page 17: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

17

DL = 200 Two-Way Spanning Slab (Aspect Ratio 1:1) [Cover 25mm]

SDL = 1.2kPa; LL= 4.0kPa; SLS= 10.0kPa; ULS = 14.8kPa

Effective

Span (m) and

Span / Slab

THK Ratio

Sagging and Hogging Reinforcement (and % Steel) for Panel Boundary Conditions

Interior Multi-Bay

Panel

End Multi-Bay

Panel

Corner

Multi-Bay Panel

Interior

Single-Bay Panel

Simply Supported

Panel

Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging Sagging Hogging

4.500 22.5 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

4.750 23.8 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%)

T9-200

(0.16%)

T10-200

(0.20%)

T9-200

(0.16%)

5.000 25.0 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

5.250 26.3 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

T12-200

(0.28%)

T9-200

(0.16%)

5.500 27.5 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T12-150

(0.38%)

T9-200

(0.16%)

T12-150

(0.38%)

T9-200

(0.16%)

5.750 28.8 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%)

T12-100

(0.57%)

T9-200

(0.16%)

T12-100

(0.57%)

T9-200

(0.16%)

6.000 30.0 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%) N/A N/A N/A N/A

6.250 31.3 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%)

T12-200

(0.28%) N/A N/A N/A N/A

6.500 32.5 T9-200

(0.16%)

T9-200

(0.16%)

T9-200

(0.16%)

T10-200

(0.20%)

T12-200

(0.28%)

T12-200

(0.28%) N/A N/A N/A N/A

6.750 33.8 T9-200

(0.16%)

T10-200

(0.20%)

T10-200

(0.20%)

T10-200

(0.20%)

T12-150

(0.38%)

T12-200

(0.28%) N/A N/A N/A N/A

7.000 35.0 T9-200

(0.16%)

T10-200

(0.20%)

T12-200

(0.28%)

T12-200

(0.28%)

T12-150

(0.38%)

T12-200

(0.28%) N/A N/A N/A N/A

7.250 36.3 T10-200

(0.20%)

T12-200

(0.28%) N/A N/A N/A N/A N/A N/A N/A N/A

7.500 37.5 T12-200

(0.28%)

T12-200

(0.28%) N/A N/A N/A N/A N/A N/A N/A N/A

7.750 38.8 T12-200

(0.28%)

T12-200

(0.28%) N/A N/A N/A N/A N/A N/A N/A N/A

8.000 40.0 T12-150

(0.38%)

T12-200

(0.28%) N/A N/A N/A N/A N/A N/A N/A N/A

Page 18: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

18

8.0 STANDARD RC BEAM DESIGNS

Moment and shear analyses are based on the following equations. Note that these static analyses coefficients

adopt an elasto-plastic approach with an assumed 20% moment redistribution.

Moment design (rectangular section) is based on the following equations.

Note due to 20% moment redistribution, b = assumed 1.20 (sagging) and 0.80 (hogging). Note that bending

stress ratio limit, K' for b ≥ 0.90 truncated at 0.156.

Moment design (flanged section with compression stress block within flange) is based on the following equations.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Deflection design is based on the following equations.

Deflection modification factor due to compression reinforcement not incorporated.

Note where multiple layers of reinforcement are employed, the adopted minimum clear distance between layers is

25mm.

Mu = K'fcubd2

Page 19: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

19

Note the ULS uniformly distributed loading (UDL), (kN/m) is estimated as follows:-

= (1.4DL+1.4SDL+1.6LL) . (loading tributary width) + 1.4pbrick . (clear floor height)

where the on elevation brickwork loading, pbrick can be estimated as follows:-

150mm overall single skin brickwall (cement plastered both sides) 2.85kPa

250mm overall double skin brickwall (cement plastered both sides) 4.75kPa

Loading tributary width for one-way spanning slab is simply 0.5L. Loading tributary width for two-way spanning slab

is vxLx in shorter span x and vyLx in longer span y, where in both instances Lx is the shorter span.

Loading

Tributary

Width (m) for

DL = 115 slab

SDL = 1.2kPa

LL = 1.5kPa

SLS= 5.5kPa

ULS = 7.9kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 7.9 17.9 19.9 21.9 24.6 27.9 31.2

1.500 11.9 21.9 23.9 25.9 28.5 31.9 35.2

2.000 15.9 25.9 27.9 29.9 32.5 35.8 39.2

2.500 19.9 29.8 31.8 33.8 36.5 39.8 43.1

3.000 23.8 33.8 35.8 37.8 40.5 43.8 47.1

3.500 27.8 37.8 39.8 41.8 44.4 47.8 51.1

4.000 31.8 41.8 43.7 45.7 48.4 51.7 55.1

4.500 35.7 45.7 47.7 49.7 52.4 55.7 59.0

5.000 39.7 49.7 51.7 53.7 56.3 59.7 63.0

5.500 43.7 53.7 55.7 57.7 60.3 63.6 67.0

6.000 47.7 57.6 59.6 61.6 64.3 67.6 70.9

6.500 51.6 61.6 63.6 65.6 68.3 71.6 74.9

7.000 55.6 65.6 67.6 69.6 72.2 75.6 78.9

7.500 59.6 69.6 71.6 73.5 76.2 79.5 82.9

8.000 63.6 73.5 75.5 77.5 80.2 83.5 86.8

Page 20: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

20

Loading

Tributary

Width (m) for

DL = 125 slab

SDL = 1.2kPa

LL = 1.5kPa

SLS= 5.7kPa

ULS = 8.3kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 8.3 18.3 20.3 22.2 24.9 28.2 31.6

1.500 12.4 22.4 24.4 26.4 29.0 32.4 35.7

2.000 16.6 26.5 28.5 30.5 33.2 36.5 39.8

2.500 20.7 30.7 32.7 34.7 37.3 40.7 44.0

3.000 24.8 34.8 36.8 38.8 41.5 44.8 48.1

3.500 29.0 39.0 41.0 42.9 45.6 48.9 52.3

4.000 33.1 43.1 45.1 47.1 49.7 53.1 56.4

4.500 37.3 47.2 49.2 51.2 53.9 57.2 60.5

5.000 41.4 51.4 53.4 55.4 58.0 61.4 64.7

5.500 45.5 55.5 57.5 59.5 62.2 65.5 68.8

6.000 49.7 59.7 61.7 63.6 66.3 69.6 73.0

6.500 53.8 63.8 65.8 67.8 70.4 73.8 77.1

7.000 58.0 67.9 69.9 71.9 74.6 77.9 81.2

7.500 62.1 72.1 74.1 76.1 78.7 82.1 85.4

8.000 66.2 76.2 78.2 80.2 82.9 86.2 89.5

Loading

Tributary

Width (m) for

DL = 150 slab

SDL = 1.2kPa

LL = 1.5kPa

SLS= 6.3kPa

ULS = 9.1kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 9.1 19.1 21.1 23.1 25.7 29.1 32.4

1.500 13.7 23.7 25.7 27.6 30.3 33.6 37.0

2.000 18.2 28.2 30.2 32.2 34.9 38.2 41.5

2.500 22.8 32.8 34.8 36.8 39.4 42.8 46.1

3.000 27.4 37.3 39.3 41.3 44.0 47.3 50.6

3.500 31.9 41.9 43.9 45.9 48.5 51.9 55.2

4.000 36.5 46.5 48.5 50.4 53.1 56.4 59.8

4.500 41.0 51.0 53.0 55.0 57.7 61.0 64.3

5.000 45.6 55.6 57.6 59.6 62.2 65.6 68.9

5.500 50.2 60.1 62.1 64.1 66.8 70.1 73.4

6.000 54.7 64.7 66.7 68.7 71.3 74.7 78.0

6.500 59.3 69.3 71.3 73.2 75.9 79.2 82.6

7.000 63.8 73.8 75.8 77.8 80.5 83.8 87.1

7.500 68.4 78.4 80.4 82.4 85.0 88.4 91.7

8.000 73.0 82.9 84.9 86.9 89.6 92.9 96.2

Page 21: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

21

Loading

Tributary

Width (m) for

DL = 175 slab

SDL = 1.2kPa

LL = 1.5kPa

SLS= 6.9kPa

ULS = 10.0kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 10.0 19.9 21.9 23.9 26.6 29.9 33.2

1.500 14.9 24.9 26.9 28.9 31.6 34.9 38.2

2.000 19.9 29.9 31.9 33.9 36.5 39.9 43.2

2.500 24.9 34.9 36.9 38.9 41.5 44.9 48.2

3.000 29.9 39.9 41.9 43.8 46.5 49.8 53.2

3.500 34.9 44.8 46.8 48.8 51.5 54.8 58.1

4.000 39.8 49.8 51.8 53.8 56.5 59.8 63.1

4.500 44.8 54.8 56.8 58.8 61.4 64.8 68.1

5.000 49.8 59.8 61.8 63.8 66.4 69.8 73.1

5.500 54.8 64.8 66.8 68.7 71.4 74.7 78.1

6.000 59.8 69.7 71.7 73.7 76.4 79.7 83.0

6.500 64.7 74.7 76.7 78.7 81.4 84.7 88.0

7.000 69.7 79.7 81.7 83.7 86.3 89.7 93.0

7.500 74.7 84.7 86.7 88.7 91.3 94.7 98.0

8.000 79.7 89.7 91.7 93.6 96.3 99.6 103.0

Loading

Tributary

Width (m) for

DL = 200 slab

SDL = 1.2kPa

LL = 1.5kPa

SLS = 7.5kPa

ULS = 10.8kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 10.8 20.8 22.8 24.8 27.4 30.8 34.1

1.500 16.2 26.2 28.2 30.2 32.8 36.2 39.5

2.000 21.6 31.6 33.6 35.6 38.2 41.6 44.9

2.500 27.0 37.0 39.0 41.0 43.6 47.0 50.3

3.000 32.4 42.4 44.4 46.4 49.0 52.4 55.7

3.500 37.8 47.8 49.8 51.8 54.4 57.8 61.1

4.000 43.2 53.2 55.2 57.2 59.8 63.2 66.5

4.500 48.6 58.6 60.6 62.6 65.2 68.6 71.9

5.000 54.0 64.0 66.0 68.0 70.6 74.0 77.3

5.500 59.4 69.4 71.4 73.4 76.0 79.4 82.7

6.000 64.8 74.8 76.8 78.8 81.4 84.8 88.1

6.500 70.2 80.2 82.2 84.2 86.8 90.2 93.5

7.000 75.6 85.6 87.6 89.6 92.2 95.6 98.9

7.500 81.0 91.0 93.0 95.0 97.6 101.0 104.3

8.000 86.4 96.4 98.4 100.4 103.0 106.4 109.7

Page 22: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

22

Loading

Tributary

Width (m) for

DL = 115 slab

SDL = 1.2kPa

LL = 4.0kPa

SLS= 8.0kPa

ULS = 11.9kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 11.9 21.9 23.9 25.9 28.6 31.9 35.2

1.500 17.9 27.9 29.9 31.9 34.5 37.9 41.2

2.000 23.9 33.9 35.9 37.9 40.5 43.8 47.2

2.500 29.9 39.8 41.8 43.8 46.5 49.8 53.1

3.000 35.8 45.8 47.8 49.8 52.5 55.8 59.1

3.500 41.8 51.8 53.8 55.8 58.4 61.8 65.1

4.000 47.8 57.8 59.7 61.7 64.4 67.7 71.1

4.500 53.7 63.7 65.7 67.7 70.4 73.7 77.0

5.000 59.7 69.7 71.7 73.7 76.3 79.7 83.0

5.500 65.7 75.7 77.7 79.7 82.3 85.6 89.0

6.000 71.7 81.6 83.6 85.6 88.3 91.6 94.9

6.500 77.6 87.6 89.6 91.6 94.3 97.6 100.9

7.000 83.6 93.6 95.6 97.6 100.2 103.6 106.9

7.500 89.6 99.6 101.6 103.5 106.2 109.5 112.9

8.000 95.6 105.5 107.5 109.5 112.2 115.5 118.8

Loading

Tributary

Width (m) for

DL = 125 slab

SDL = 1.2kPa

LL = 4.0kPa

SLS= 8.2kPa

ULS = 12.3kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 12.3 22.3 24.3 26.2 28.9 32.2 35.6

1.500 18.4 28.4 30.4 32.4 35.0 38.4 41.7

2.000 24.6 34.5 36.5 38.5 41.2 44.5 47.8

2.500 30.7 40.7 42.7 44.7 47.3 50.7 54.0

3.000 36.8 46.8 48.8 50.8 53.5 56.8 60.1

3.500 43.0 53.0 55.0 56.9 59.6 62.9 66.3

4.000 49.1 59.1 61.1 63.1 65.7 69.1 72.4

4.500 55.3 65.2 67.2 69.2 71.9 75.2 78.5

5.000 61.4 71.4 73.4 75.4 78.0 81.4 84.7

5.500 67.5 77.5 79.5 81.5 84.2 87.5 90.8

6.000 73.7 83.7 85.7 87.6 90.3 93.6 97.0

6.500 79.8 89.8 91.8 93.8 96.4 99.8 103.1

7.000 86.0 95.9 97.9 99.9 102.6 105.9 109.2

7.500 92.1 102.1 104.1 106.1 108.7 112.1 115.4

8.000 98.2 108.2 110.2 112.2 114.9 118.2 121.5

Page 23: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

23

Loading

Tributary

Width (m) for

DL = 150 slab

SDL = 1.2kPa

LL = 4.0kPa

SLS= 8.8kPa

ULS = 13.1kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 13.1 23.1 25.1 27.1 29.7 33.1 36.4

1.500 19.7 29.7 31.7 33.6 36.3 39.6 43.0

2.000 26.2 36.2 38.2 40.2 42.9 46.2 49.5

2.500 32.8 42.8 44.8 46.8 49.4 52.8 56.1

3.000 39.4 49.3 51.3 53.3 56.0 59.3 62.6

3.500 45.9 55.9 57.9 59.9 62.5 65.9 69.2

4.000 52.5 62.5 64.5 66.4 69.1 72.4 75.8

4.500 59.0 69.0 71.0 73.0 75.7 79.0 82.3

5.000 65.6 75.6 77.6 79.6 82.2 85.6 88.9

5.500 72.2 82.1 84.1 86.1 88.8 92.1 95.4

6.000 78.7 88.7 90.7 92.7 95.3 98.7 102.0

6.500 85.3 95.3 97.3 99.2 101.9 105.2 108.6

7.000 91.8 101.8 103.8 105.8 108.5 111.8 115.1

7.500 98.4 108.4 110.4 112.4 115.0 118.4 121.7

8.000 105.0 114.9 116.9 118.9 121.6 124.9 128.2

Loading

Tributary

Width (m) for

DL = 175 slab

SDL = 1.2kPa

LL = 4.0kPa

SLS= 9.4kPa

ULS = 14.0kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 14.0 23.9 25.9 27.9 30.6 33.9 37.2

1.500 20.9 30.9 32.9 34.9 37.6 40.9 44.2

2.000 27.9 37.9 39.9 41.9 44.5 47.9 51.2

2.500 34.9 44.9 46.9 48.9 51.5 54.9 58.2

3.000 41.9 51.9 53.9 55.8 58.5 61.8 65.2

3.500 48.9 58.8 60.8 62.8 65.5 68.8 72.1

4.000 55.8 65.8 67.8 69.8 72.5 75.8 79.1

4.500 62.8 72.8 74.8 76.8 79.4 82.8 86.1

5.000 69.8 79.8 81.8 83.8 86.4 89.8 93.1

5.500 76.8 86.8 88.8 90.7 93.4 96.7 100.1

6.000 83.8 93.7 95.7 97.7 100.4 103.7 107.0

6.500 90.7 100.7 102.7 104.7 107.4 110.7 114.0

7.000 97.7 107.7 109.7 111.7 114.3 117.7 121.0

7.500 104.7 114.7 116.7 118.7 121.3 124.7 128.0

8.000 111.7 121.7 123.7 125.6 128.3 131.6 135.0

Page 24: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

24

Loading

Tributary

Width (m) for

DL = 200 slab

SDL = 1.2kPa

LL = 4.0kPa

SLS= 10.0kPa

ULS = 14.8kPa

ULS Uniformly Distributed Loading (UDL), (kN/m)

Without

Brickwall

With Brickwall

Single Skin Brickwall Double Skin Brickwall

2.500m High 3.000m High 3.500m High 2.500m High 3.000m High 3.500m High

1.000 14.8 24.8 26.8 28.8 31.4 34.8 38.1

1.500 22.2 32.2 34.2 36.2 38.8 42.2 45.5

2.000 29.6 39.6 41.6 43.6 46.2 49.6 52.9

2.500 37.0 47.0 49.0 51.0 53.6 57.0 60.3

3.000 44.4 54.4 56.4 58.4 61.0 64.4 67.7

3.500 51.8 61.8 63.8 65.8 68.4 71.8 75.1

4.000 59.2 69.2 71.2 73.2 75.8 79.2 82.5

4.500 66.6 76.6 78.6 80.6 83.2 86.6 89.9

5.000 74.0 84.0 86.0 88.0 90.6 94.0 97.3

5.500 81.4 91.4 93.4 95.4 98.0 101.4 104.7

6.000 88.8 98.8 100.8 102.8 105.4 108.8 112.1

6.500 96.2 106.2 108.2 110.2 112.8 116.2 119.5

7.000 103.6 113.6 115.6 117.6 120.2 123.6 126.9

7.500 111.0 121.0 123.0 125.0 127.6 131.0 134.3

8.000 118.4 128.4 130.4 132.4 135.0 138.4 141.7

Page 25: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

25

Bending moment and shear force effects are calculated for the various boundary conditions, loadings and spans

as follows:-

Table 1: T-Section (Mid Span Sagging) Simply Supported Span [M = 0.125L2 (kNm), V = N/A (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000

M V M V M V M V M V M V M V M V M V

10 1 N/A 5 N/A 11 N/A 20 N/A 31 N/A 45 N/A 61 N/A 80 N/A 101 N/A

15 2 N/A 8 N/A 17 N/A 30 N/A 47 N/A 68 N/A 92 N/A 120 N/A 152 N/A

20 3 N/A 10 N/A 23 N/A 40 N/A 63 N/A 90 N/A 123 N/A 160 N/A 203 N/A

25 3 N/A 13 N/A 28 N/A 50 N/A 78 N/A 113 N/A 153 N/A 200 N/A 253 N/A

30 4 N/A 15 N/A 34 N/A 60 N/A 94 N/A 135 N/A 184 N/A 240 N/A 304 N/A

35 4 N/A 18 N/A 39 N/A 70 N/A 109 N/A 158 N/A 214 N/A 280 N/A 354 N/A

40 5 N/A 20 N/A 45 N/A 80 N/A 125 N/A 180 N/A 245 N/A 320 N/A 405 N/A

45 6 N/A 23 N/A 51 N/A 90 N/A 141 N/A 203 N/A 276 N/A 360 N/A 456 N/A

50 6 N/A 25 N/A 56 N/A 100 N/A 156 N/A 225 N/A 306 N/A 400 N/A 506 N/A

55 7 N/A 28 N/A 62 N/A 110 N/A 172 N/A 248 N/A 337 N/A 440 N/A 557 N/A

60 8 N/A 30 N/A 68 N/A 120 N/A 188 N/A 270 N/A 368 N/A 480 N/A 608 N/A

65 8 N/A 33 N/A 73 N/A 130 N/A 203 N/A 293 N/A 398 N/A 520 N/A 658 N/A

70 9 N/A 35 N/A 79 N/A 140 N/A 219 N/A 315 N/A 429 N/A 560 N/A 709 N/A

75 9 N/A 38 N/A 84 N/A 150 N/A 234 N/A 338 N/A 459 N/A 600 N/A 759 N/A

80 10 N/A 40 N/A 90 N/A 160 N/A 250 N/A 360 N/A 490 N/A 640 N/A 810 N/A

90 11 N/A 45 N/A 101 N/A 180 N/A 281 N/A 405 N/A 551 N/A 720 N/A 911 N/A

100 13 N/A 50 N/A 113 N/A 200 N/A 313 N/A 450 N/A 613 N/A 800 N/A 1013 N/A

110 14 N/A 55 N/A 124 N/A 220 N/A 344 N/A 495 N/A 674 N/A 880 N/A 1114 N/A

120 15 N/A 60 N/A 135 N/A 240 N/A 375 N/A 540 N/A 735 N/A 960 N/A 1215 N/A

Table 2: T-Section (Mid Span Sagging at End Span) Continuous Span [M = 0.09L2 (kNm), V = N/A (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000

M V M V M V M V M V M V M V M V M V

10 1 N/A 4 N/A 8 N/A 14 N/A 23 N/A 32 N/A 44 N/A 58 N/A 73 N/A

15 1 N/A 5 N/A 12 N/A 22 N/A 34 N/A 49 N/A 66 N/A 86 N/A 109 N/A

20 2 N/A 7 N/A 16 N/A 29 N/A 45 N/A 65 N/A 88 N/A 115 N/A 146 N/A

25 2 N/A 9 N/A 20 N/A 36 N/A 56 N/A 81 N/A 110 N/A 144 N/A 182 N/A

30 3 N/A 11 N/A 24 N/A 43 N/A 68 N/A 97 N/A 132 N/A 173 N/A 219 N/A

35 3 N/A 13 N/A 28 N/A 50 N/A 79 N/A 113 N/A 154 N/A 202 N/A 255 N/A

40 4 N/A 14 N/A 32 N/A 58 N/A 90 N/A 130 N/A 176 N/A 230 N/A 292 N/A

45 4 N/A 16 N/A 36 N/A 65 N/A 101 N/A 146 N/A 198 N/A 259 N/A 328 N/A

50 5 N/A 18 N/A 41 N/A 72 N/A 113 N/A 162 N/A 221 N/A 288 N/A 365 N/A

55 5 N/A 20 N/A 45 N/A 79 N/A 124 N/A 178 N/A 243 N/A 317 N/A 401 N/A

60 5 N/A 22 N/A 49 N/A 86 N/A 135 N/A 194 N/A 265 N/A 346 N/A 437 N/A

65 6 N/A 23 N/A 53 N/A 94 N/A 146 N/A 211 N/A 287 N/A 374 N/A 474 N/A

70 6 N/A 25 N/A 57 N/A 101 N/A 158 N/A 227 N/A 309 N/A 403 N/A 510 N/A

75 7 N/A 27 N/A 61 N/A 108 N/A 169 N/A 243 N/A 331 N/A 432 N/A 547 N/A

80 7 N/A 29 N/A 65 N/A 115 N/A 180 N/A 259 N/A 353 N/A 461 N/A 583 N/A

Table 1

M 0.125

V N/A

Bending Moment and Shear Force Coefficients

Table 4

M 0.04

V 0.5

Table 2

M 0.09

V N/A

Table 3

M 0.07

V N/A

Table 5

M 0.11

V 0.6

Table 6

M 0.08

V 0.55

Table 7

M 0.50

V 1.0

Page 26: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

26

90 8 N/A 32 N/A 73 N/A 130 N/A 203 N/A 292 N/A 397 N/A 518 N/A 656 N/A

100 9 N/A 36 N/A 81 N/A 144 N/A 225 N/A 324 N/A 441 N/A 576 N/A 729 N/A

110 10 N/A 40 N/A 89 N/A 158 N/A 248 N/A 356 N/A 485 N/A 634 N/A 802 N/A

120 11 N/A 43 N/A 97 N/A 173 N/A 270 N/A 389 N/A 529 N/A 691 N/A 875 N/A

Table 3: T-Section (Mid Span Sagging at Interior Spans) Continuous Span [M = 0.07L2 (kNm), V = N/A (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000

M V M V M V M V M V M V M V M V M V

10 1 N/A 3 N/A 6 N/A 11 N/A 18 N/A 25 N/A 34 N/A 45 N/A 57 N/A

15 1 N/A 4 N/A 9 N/A 17 N/A 26 N/A 38 N/A 51 N/A 67 N/A 85 N/A

20 1 N/A 6 N/A 13 N/A 22 N/A 35 N/A 50 N/A 69 N/A 90 N/A 113 N/A

25 2 N/A 7 N/A 16 N/A 28 N/A 44 N/A 63 N/A 86 N/A 112 N/A 142 N/A

30 2 N/A 8 N/A 19 N/A 34 N/A 53 N/A 76 N/A 103 N/A 134 N/A 170 N/A

35 2 N/A 10 N/A 22 N/A 39 N/A 61 N/A 88 N/A 120 N/A 157 N/A 198 N/A

40 3 N/A 11 N/A 25 N/A 45 N/A 70 N/A 101 N/A 137 N/A 179 N/A 227 N/A

45 3 N/A 13 N/A 28 N/A 50 N/A 79 N/A 113 N/A 154 N/A 202 N/A 255 N/A

50 4 N/A 14 N/A 32 N/A 56 N/A 88 N/A 126 N/A 172 N/A 224 N/A 284 N/A

55 4 N/A 15 N/A 35 N/A 62 N/A 96 N/A 139 N/A 189 N/A 246 N/A 312 N/A

60 4 N/A 17 N/A 38 N/A 67 N/A 105 N/A 151 N/A 206 N/A 269 N/A 340 N/A

65 5 N/A 18 N/A 41 N/A 73 N/A 114 N/A 164 N/A 223 N/A 291 N/A 369 N/A

70 5 N/A 20 N/A 44 N/A 78 N/A 123 N/A 176 N/A 240 N/A 314 N/A 397 N/A

75 5 N/A 21 N/A 47 N/A 84 N/A 131 N/A 189 N/A 257 N/A 336 N/A 425 N/A

80 6 N/A 22 N/A 50 N/A 90 N/A 140 N/A 202 N/A 274 N/A 358 N/A 454 N/A

90 6 N/A 25 N/A 57 N/A 101 N/A 158 N/A 227 N/A 309 N/A 403 N/A 510 N/A

100 7 N/A 28 N/A 63 N/A 112 N/A 175 N/A 252 N/A 343 N/A 448 N/A 567 N/A

110 8 N/A 31 N/A 69 N/A 123 N/A 193 N/A 277 N/A 377 N/A 493 N/A 624 N/A

120 8 N/A 34 N/A 76 N/A 134 N/A 210 N/A 302 N/A 412 N/A 538 N/A 680 N/A

Table 4: Rectangular Section (Support Hogging) Simply Supported Span [M = 0.04L2 (kNm), V = 0.5L (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000

M V M V M V M V M V M V M V M V M V

10 0 5 2 10 4 15 6 20 10 25 14 30 20 35 26 40 32 45

15 1 8 2 15 5 23 10 30 15 38 22 45 29 53 38 60 49 68

20 1 10 3 20 7 30 13 40 20 50 29 60 39 70 51 80 65 90

25 1 13 4 25 9 38 16 50 25 63 36 75 49 88 64 100 81 113

30 1 15 5 30 11 45 19 60 30 75 43 90 59 105 77 120 97 135

35 1 18 6 35 13 53 22 70 35 88 50 105 69 123 90 140 113 158

40 2 20 6 40 14 60 26 80 40 100 58 120 78 140 102 160 130 180

45 2 23 7 45 16 68 29 90 45 113 65 135 88 158 115 180 146 203

50 2 25 8 50 18 75 32 100 50 125 72 150 98 175 128 200 162 225

55 2 28 9 55 20 83 35 110 55 138 79 165 108 193 141 220 178 248

60 2 30 10 60 22 90 38 120 60 150 86 180 118 210 154 240 194 270

65 3 33 10 65 23 98 42 130 65 163 94 195 127 228 166 260 211 293

70 3 35 11 70 25 105 45 140 70 175 101 210 137 245 179 280 227 315

75 3 38 12 75 27 113 48 150 75 188 108 225 147 263 192 300 243 338

80 3 40 13 80 29 120 51 160 80 200 115 240 157 280 205 320 259 360

90 4 45 14 90 32 135 58 180 90 225 130 270 176 315 230 360 292 405

100 4 50 16 100 36 150 64 200 100 250 144 300 196 350 256 400 324 450

110 4 55 18 110 40 165 70 220 110 275 158 330 216 385 282 440 356 495

120 5 60 19 120 43 180 77 240 120 300 173 360 235 420 307 480 389 540

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Table 5: Rectangular Section (Support Hogging at First Interior Span) Continuous Span [M = 0.11L2 (kNm), V = 0.6L (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000

M V M V M V M V M V M V M V M V M V

10 1 6 4 12 10 18 18 24 28 30 40 36 54 42 70 48 89 54

15 2 9 7 18 15 27 26 36 41 45 59 54 81 63 106 72 134 81

20 2 12 9 24 20 36 35 48 55 60 79 72 108 84 141 96 178 108

25 3 15 11 30 25 45 44 60 69 75 99 90 135 105 176 120 223 135

30 3 18 13 36 30 54 53 72 83 90 119 108 162 126 211 144 267 162

35 4 21 15 42 35 63 62 84 96 105 139 126 189 147 246 168 312 189

40 4 24 18 48 40 72 70 96 110 120 158 144 216 168 282 192 356 216

45 5 27 20 54 45 81 79 108 124 135 178 162 243 189 317 216 401 243

50 6 30 22 60 50 90 88 120 138 150 198 180 270 210 352 240 446 270

55 6 33 24 66 54 99 97 132 151 165 218 198 296 231 387 264 490 297

60 7 36 26 72 59 108 106 144 165 180 238 216 323 252 422 288 535 324

65 7 39 29 78 64 117 114 156 179 195 257 234 350 273 458 312 579 351

70 8 42 31 84 69 126 123 168 193 210 277 252 377 294 493 336 624 378

75 8 45 33 90 74 135 132 180 206 225 297 270 404 315 528 360 668 405

80 9 48 35 96 79 144 141 192 220 240 317 288 431 336 563 384 713 432

90 10 54 40 108 89 162 158 216 248 270 356 324 485 378 634 432 802 486

100 11 60 44 120 99 180 176 240 275 300 396 360 539 420 704 480 891 540

110 12 66 48 132 109 198 194 264 303 330 436 396 593 462 774 528 980 594

120 13 72 53 144 119 216 211 288 330 360 475 432 647 504 845 576 1069 648

Table 6: Rectangular Section (Support Hogging at Interior Spans) Continuous Span [M = 0.08L2 (kNm), V = 0.55L (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000

M V M V M V M V M V M V M V M V M V

10 1 6 3 11 7 17 13 22 20 28 29 33 39 39 51 44 65 50

15 1 8 5 17 11 25 19 33 30 41 43 50 59 58 77 66 97 74

20 2 11 6 22 14 33 26 44 40 55 58 66 78 77 102 88 130 99

25 2 14 8 28 18 41 32 55 50 69 72 83 98 96 128 110 162 124

30 2 17 10 33 22 50 38 66 60 83 86 99 118 116 154 132 194 149

35 3 19 11 39 25 58 45 77 70 96 101 116 137 135 179 154 227 173

40 3 22 13 44 29 66 51 88 80 110 115 132 157 154 205 176 259 198

45 4 25 14 50 32 74 58 99 90 124 130 149 176 173 230 198 292 223

50 4 28 16 55 36 83 64 110 100 138 144 165 196 193 256 220 324 248

55 4 30 18 61 40 91 70 121 110 151 158 182 216 212 282 242 356 272

60 5 33 19 66 43 99 77 132 120 165 173 198 235 231 307 264 389 297

65 5 36 21 72 47 107 83 143 130 179 187 215 255 250 333 286 421 322

70 6 39 22 77 50 116 90 154 140 193 202 231 274 270 358 308 454 347

75 6 41 24 83 54 124 96 165 150 206 216 248 294 289 384 330 486 371

80 6 44 26 88 58 132 102 176 160 220 230 264 314 308 410 352 518 396

90 7 50 29 99 65 149 115 198 180 248 259 297 353 347 461 396 583 446

100 8 55 32 110 72 165 128 220 200 275 288 330 392 385 512 440 648 495

110 9 61 35 121 79 182 141 242 220 303 317 363 431 424 563 484 713 545

120 10 66 38 132 86 198 154 264 240 330 346 396 470 462 614 528 778 594

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Table 7: Rectangular Section (Support Hogging) Cantilever Span

[M = 0.50L2 (kNm), V = 1.0L (kN)]

ULS UDL,

(kN/m)

Effective Span (m)

1.000 2.000 3.000 4.000

M V M V M V M V

10 5 10 20 20 45 30 80 40

15 8 15 30 30 68 45 120 60

20 10 20 40 40 90 60 160 80

25 13 25 50 50 113 75 200 100

30 15 30 60 60 135 90 240 120

35 18 35 70 70 158 105 280 140

40 20 40 80 80 180 120 320 160

45 23 45 90 90 203 135 360 180

50 25 50 100 100 225 150 400 200

55 28 55 110 110 248 165 440 220

60 30 60 120 120 270 180 480 240

65 33 65 130 130 293 195 520 260

70 35 70 140 140 315 210 560 280

75 38 75 150 150 338 225 600 300

80 40 80 160 160 360 240 640 320

90 45 90 180 180 405 270 720 360

100 50 100 200 200 450 300 800 400

110 55 110 220 220 495 330 880 440

120 60 120 240 240 540 360 960 480

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Beam Capacity Table for T-Section (With Assumed Flange of Minimum 115mm) With

Case A: Simply Supported Span and b = 1.0 (For Use With Table 1)

Case B: Continuous Span and b = 1.2 (For Use With Table 2 and Table 3)

Beam Size

Flanged

(bw x h)

[Cover 25mm]

Reinforcement ULS Capacity Maximum Effective

Span, L (m)

for No Deflection

Government

Number

& Size

(mm)

Area

(mm2)

% Steel # Shear

Links

Bending

Moment,

M (kNm)

Shear

Force,

V (kN)

M/bd2 (N/mm

2)

Case A Case B Case A Case B

125x300 2T10 157 0.42 2R6-200 17 36 0.15 0.16 8.010 10.481

125x300 2T10 157 0.42 2R6-150 17 42 0.15 0.16 8.010 10.481

125x300 2T10 157 0.42 2R6-100 17 54 0.15 0.16 8.010 10.481

125x300 2T12 226 0.60 2R6-200 25 38 0.24 0.22 7.573 10.460

125x300 2T12 226 0.60 2R6-150 25 44 0.24 0.22 7.573 10.460

125x300 2T12 226 0.60 2R6-100 25 56 0.24 0.22 7.573 10.460

125x300 2x2T10 314 0.84 2R6-200 32 39 0.41 0.34 6.439 10.130

125x300 2x2T10 314 0.84 2R6-150 32 44 0.41 0.34 6.439 10.130

125x300 2x2T10 314 0.84 2R6-100 32 55 0.41 0.34 6.439 10.130

125x300 2T16 402 1.07 2R6-200 44 42 0.49 0.41 6.571 10.320

125x300 2T16 402 1.07 2R6-150 44 48 0.49 0.41 6.571 10.320

125x300 2T16 402 1.07 2R6-100 44 60 0.49 0.41 6.571 10.320

125x300 2x2T12 452 1.21 2R6-200 46 41 0.68 0.54 5.671 9.330

125x300 2x2T12 452 1.21 2R6-150 46 47 0.68 0.54 5.671 9.330

125x300 2x2T12 452 1.21 2R6-100 46 58 0.68 0.54 5.671 9.330

125x300 4x2T10 628 1.68 2R6-200 54 40 1.58 1.22 3.800 6.249

125x300 4x2T10 628 1.68 2R6-150 54 45 1.58 1.22 3.800 6.249

125x300 4x2T10 628 1.68 2R6-100 54 55 1.58 1.22 3.800 6.249

125x300 3x2T12 679 1.81 2R6-200 62 43 1.47 1.15 4.158 6.815

125x300 3x2T12 679 1.81 2R6-150 62 48 1.47 1.15 4.158 6.815

125x300 3x2T12 679 1.81 2R6-100 62 58 1.47 1.15 4.158 6.815

125x300 2x2T16 804 2.14 2R6-200 78 46 1.56 1.23 4.328 7.078

125x300 2x2T16 804 2.14 2R6-150 78 51 1.56 1.23 4.328 7.078

125x300 2x2T16 804 2.14 2R6-100 78 62 1.56 1.23 4.328 7.078

125x300 3x2T16 1206 3.22 2R6-200 96 44 3.14 2.54 3.174 4.975

125x300 3x2T16 1206 3.22 2R6-150 96 49 3.14 2.54 3.174 4.975

125x300 3x2T16 1206 3.22 2R6-100 96 59 3.14 2.54 3.174 4.975

125x450 2T10 157 0.28 2R6-200 27 50 0.07 0.08 11.511 13.123

125x450 2T10 157 0.28 2R6-150 27 59 0.07 0.08 11.511 13.123

125x450 2T10 157 0.28 2R6-100 27 77 0.07 0.08 11.511 13.123

125x450 2T12 226 0.40 2R6-200 39 52 0.10 0.12 11.409 13.107

125x450 2T12 226 0.40 2R6-150 39 62 0.10 0.12 11.409 13.107

125x450 2T12 226 0.40 2R6-100 39 80 0.10 0.12 11.409 13.107

125x450 2x2T10 314 0.56 2R6-200 52 54 0.15 0.17 10.991 12.844

125x450 2x2T10 314 0.56 2R6-150 52 62 0.15 0.17 10.991 12.844

125x450 2x2T10 314 0.56 2R6-100 52 80 0.15 0.17 10.991 12.844

125x450 2T16 402 0.71 2R6-200 69 57 0.18 0.21 11.059 13.077

125x450 2T16 402 0.71 2R6-150 69 67 0.18 0.21 11.059 13.077

125x450 2T16 402 0.71 2R6-100 69 85 0.18 0.21 11.059 13.077

125x450 2x2T12 452 0.80 2R6-200 74 57 0.22 0.25 10.706 12.812

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125x450 2x2T12 452 0.80 2R6-150 74 66 0.22 0.25 10.706 12.812

125x450 2x2T12 452 0.80 2R6-100 74 83 0.22 0.25 10.706 12.812

125x450 3x2T10 471 0.84 2R6-200 74 56 0.25 0.27 10.416 12.558

125x450 3x2T10 471 0.84 2R6-150 74 64 0.25 0.27 10.416 12.558

125x450 3x2T10 471 0.84 2R6-100 74 81 0.25 0.27 10.416 12.558

125x450 4x2T10 628 1.12 2R6-200 94 57 0.38 0.39 9.620 12.193

125x450 4x2T10 628 1.12 2R6-150 94 65 0.38 0.39 9.620 12.193

125x450 4x2T10 628 1.12 2R6-100 94 81 0.38 0.39 9.620 12.193

125x450 3x2T12 679 1.21 2R6-200 106 59 0.37 0.40 10.010 12.403

125x450 3x2T12 679 1.21 2R6-150 106 68 0.37 0.40 10.010 12.403

125x450 3x2T12 679 1.21 2R6-100 106 85 0.37 0.40 10.010 12.403

125x450 2x2T16 804 1.43 2R6-200 130 63 0.42 0.46 10.065 12.454

125x450 2x2T16 804 1.43 2R6-150 130 72 0.42 0.46 10.065 12.454

125x450 2x2T16 804 1.43 2R6-100 130 89 0.42 0.46 10.065 12.454

125x450 4x2T12 905 1.61 2R6-200 134 61 0.62 0.61 8.488 11.491

125x450 4x2T12 905 1.61 2R6-150 134 69 0.62 0.61 8.488 11.491

125x450 4x2T12 905 1.61 2R6-100 134 85 0.62 0.61 8.488 11.491

125x450 3x2T16 1206 2.14 2R6-200 185 66 0.84 0.80 8.096 11.226

125x450 3x2T16 1206 2.14 2R6-150 185 74 0.84 0.80 8.096 11.226

125x450 3x2T16 1206 2.14 2R6-100 185 91 0.84 0.80 8.096 11.226

125x450 4x2T16 1608 2.86 2R6-200 229 65 1.45 1.22 6.447 10.156

125x450 4x2T16 1608 2.86 2R6-150 229 72 1.45 1.22 6.447 10.156

125x450 4x2T16 1608 2.86 2R6-100 229 88 1.45 1.22 6.447 10.156

125x600 2T10 157 0.21 2R6-200 37 63 0.04 0.05 13.434 15.317

125x600 2T10 157 0.21 2R6-150 37 75 0.04 0.05 13.434 15.317

125x600 2T10 157 0.21 2R6-100 37 101 0.04 0.05 13.434 15.317

125x600 2T12 226 0.30 2R6-200 53 66 0.06 0.07 13.422 15.304

125x600 2T12 226 0.30 2R6-150 53 78 0.06 0.07 13.422 15.304

125x600 2T12 226 0.30 2R6-100 53 104 0.06 0.07 13.422 15.304

125x600 2x2T10 314 0.42 2R6-200 71 68 0.09 0.11 13.169 15.078

125x600 2x2T10 314 0.42 2R6-150 71 80 0.09 0.11 13.169 15.078

125x600 2x2T10 314 0.42 2R6-100 71 104 0.09 0.11 13.169 15.078

125x600 2T16 402 0.54 2R6-200 94 72 0.11 0.13 13.237 15.277

125x600 2T16 402 0.54 2R6-150 94 84 0.11 0.13 13.237 15.277

125x600 2T16 402 0.54 2R6-100 94 109 0.11 0.13 13.237 15.277

125x600 2x2T12 452 0.60 2R6-200 102 71 0.13 0.15 12.948 15.051

125x600 2x2T12 452 0.60 2R6-150 102 84 0.13 0.15 12.948 15.051

125x600 2x2T12 452 0.60 2R6-100 102 108 0.13 0.15 12.948 15.051

125x600 3x2T10 471 0.63 2R6-200 103 70 0.15 0.17 12.708 14.835

125x600 3x2T10 471 0.63 2R6-150 103 82 0.15 0.17 12.708 14.835

125x600 3x2T10 471 0.63 2R6-100 103 106 0.15 0.17 12.708 14.835

125x600 4x2T10 628 0.84 2R6-200 133 72 0.21 0.24 12.246 14.588

125x600 4x2T10 628 0.84 2R6-150 133 84 0.21 0.24 12.246 14.588

125x600 4x2T10 628 0.84 2R6-100 133 106 0.21 0.24 12.246 14.588

125x600 3x2T12 679 0.90 2R6-200 148 75 0.22 0.24 12.387 14.793

125x600 3x2T12 679 0.90 2R6-150 148 86 0.22 0.24 12.387 14.793

125x600 3x2T12 679 0.90 2R6-100 148 110 0.22 0.24 12.387 14.793

125x600 2x2T16 804 1.07 2R6-200 180 78 0.25 0.28 12.427 14.995

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125x600 2x2T16 804 1.07 2R6-150 180 90 0.25 0.28 12.427 14.995

125x600 2x2T16 804 1.07 2R6-100 180 115 0.25 0.28 12.427 14.995

125x600 4x2T12 905 1.21 2R6-200 191 77 0.31 0.34 11.818 14.535

125x600 4x2T12 905 1.21 2R6-150 191 88 0.31 0.34 11.818 14.535

125x600 4x2T12 905 1.21 2R6-100 191 111 0.31 0.34 11.818 14.535

125x600 3x2T16 1206 1.61 2R6-200 260 82 0.41 0.45 11.648 14.400

125x600 3x2T16 1206 1.61 2R6-150 260 94 0.41 0.45 11.648 14.400

125x600 3x2T16 1206 1.61 2R6-100 260 117 0.41 0.45 11.648 14.400

125x600 4x2T16 1608 2.14 2R6-200 334 85 0.61 0.67 10.906 13.395

125x600 4x2T16 1608 2.14 2R6-150 334 96 0.61 0.67 10.906 13.395

125x600 4x2T16 1608 2.14 2R6-100 334 118 0.61 0.67 10.906 13.395

125x750 2T10 157 0.17 2R6-200 47 75 0.03 0.04 15.113 17.234

125x750 2T10 157 0.17 2R6-150 47 91 0.03 0.04 15.113 17.234

125x750 2T10 157 0.17 2R6-100 47 123 0.03 0.04 15.113 17.234

125x750 2T12 226 0.24 2R6-200 67 79 0.04 0.05 15.105 17.222

125x750 2T12 226 0.24 2R6-150 67 95 0.04 0.05 15.105 17.222

125x750 2T12 226 0.24 2R6-100 67 127 0.04 0.05 15.105 17.222

125x750 2x2T10 314 0.34 2R6-200 91 81 0.06 0.07 14.929 17.022

125x750 2x2T10 314 0.34 2R6-150 91 96 0.06 0.07 14.929 17.022

125x750 2x2T10 314 0.34 2R6-100 91 128 0.06 0.07 14.929 17.022

125x750 2T16 402 0.43 2R6-200 119 85 0.08 0.09 15.079 17.192

125x750 2T16 402 0.43 2R6-150 119 101 0.08 0.09 15.079 17.192

125x750 2T16 402 0.43 2R6-100 119 133 0.08 0.09 15.079 17.192

125x750 2x2T12 452 0.48 2R6-200 130 85 0.09 0.11 14.842 16.998

125x750 2x2T12 452 0.48 2R6-150 130 101 0.09 0.11 14.842 16.998

125x750 2x2T12 452 0.48 2R6-100 130 132 0.09 0.11 14.842 16.998

125x750 3x2T10 471 0.50 2R6-200 133 84 0.10 0.12 14.636 16.807

125x750 3x2T10 471 0.50 2R6-150 133 99 0.10 0.12 14.636 16.807

125x750 3x2T10 471 0.50 2R6-100 133 130 0.10 0.12 14.636 16.807

125x750 4x2T10 628 0.67 2R6-200 173 86 0.14 0.16 14.247 16.589

125x750 4x2T10 628 0.67 2R6-150 173 101 0.14 0.16 14.247 16.589

125x750 4x2T10 628 0.67 2R6-100 173 131 0.14 0.16 14.247 16.589

125x750 3x2T12 679 0.72 2R6-200 190 89 0.15 0.17 14.366 16.770

125x750 3x2T12 679 0.72 2R6-150 190 104 0.15 0.17 14.366 16.770

125x750 3x2T12 679 0.72 2R6-100 190 134 0.15 0.17 14.366 16.770

125x750 2x2T16 804 0.86 2R6-200 231 93 0.17 0.19 14.409 16.948

125x750 2x2T16 804 0.86 2R6-150 231 108 0.17 0.19 14.409 16.948

125x750 2x2T16 804 0.86 2R6-100 231 139 0.17 0.19 14.409 16.948

125x750 4x2T12 905 0.97 2R6-200 247 92 0.21 0.23 13.896 16.541

125x750 4x2T12 905 0.97 2R6-150 247 106 0.21 0.23 13.896 16.541

125x750 4x2T12 905 0.97 2R6-100 247 136 0.21 0.23 13.896 16.541

125x750 3x2T16 1206 1.29 2R6-200 336 98 0.27 0.30 13.740 16.695

125x750 3x2T16 1206 1.29 2R6-150 336 113 0.27 0.30 13.740 16.695

125x750 3x2T16 1206 1.29 2R6-100 336 143 0.27 0.30 13.740 16.695

125x750 4x2T16 1608 1.72 2R6-200 434 101 0.39 0.43 13.087 16.183

125x750 4x2T16 1608 1.72 2R6-150 434 115 0.39 0.43 13.087 16.183

125x750 4x2T16 1608 1.72 2R6-100 434 144 0.39 0.43 13.087 16.183

125x900 2T10 157 0.14 2R6-200 56 88 0.02 0.03 16.628 18.956

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125x900 2T10 157 0.14 2R6-150 56 107 0.02 0.03 16.628 18.956

125x900 2T10 157 0.14 2R6-100 56 146 0.02 0.03 16.628 18.956

125x900 2T12 226 0.20 2R6-200 81 91 0.03 0.04 16.618 18.956

125x900 2T12 226 0.20 2R6-150 81 111 0.03 0.04 16.618 18.956

125x900 2T12 226 0.20 2R6-100 81 149 0.03 0.04 16.618 18.956

125x900 2x2T10 314 0.28 2R6-200 110 94 0.05 0.06 16.452 18.767

125x900 2x2T10 314 0.28 2R6-150 110 113 0.05 0.06 16.452 18.767

125x900 2x2T10 314 0.28 2R6-100 110 151 0.05 0.06 16.452 18.767

125x900 2T16 402 0.36 2R6-200 144 98 0.06 0.07 16.599 18.925

125x900 2T16 402 0.36 2R6-150 144 118 0.06 0.07 16.599 18.925

125x900 2T16 402 0.36 2R6-100 144 156 0.06 0.07 16.599 18.925

125x900 2x2T12 452 0.40 2R6-200 159 98 0.07 0.08 16.433 18.736

125x900 2x2T12 452 0.40 2R6-150 159 117 0.07 0.08 16.433 18.736

125x900 2x2T12 452 0.40 2R6-100 159 155 0.07 0.08 16.433 18.736

125x900 3x2T10 471 0.42 2R6-200 162 98 0.07 0.09 16.287 18.570

125x900 3x2T10 471 0.42 2R6-150 162 116 0.07 0.09 16.287 18.570

125x900 3x2T10 471 0.42 2R6-100 162 153 0.07 0.09 16.287 18.570

125x900 4x2T10 628 0.56 2R6-200 212 100 0.10 0.12 15.989 18.374

125x900 4x2T10 628 0.56 2R6-150 212 118 0.10 0.12 15.989 18.374

125x900 4x2T10 628 0.56 2R6-100 212 155 0.10 0.12 15.989 18.374

125x900 3x2T12 679 0.60 2R6-200 233 103 0.11 0.13 16.099 18.537

125x900 3x2T12 679 0.60 2R6-150 233 121 0.11 0.13 16.099 18.537

125x900 3x2T12 679 0.60 2R6-100 233 158 0.11 0.13 16.099 18.537

125x900 2x2T16 804 0.71 2R6-200 281 107 0.12 0.14 16.141 18.699

125x900 2x2T16 804 0.71 2R6-150 281 126 0.12 0.14 16.141 18.699

125x900 2x2T16 804 0.71 2R6-100 281 163 0.12 0.14 16.141 18.699

125x900 4x2T12 905 0.80 2R6-200 303 106 0.15 0.17 15.689 18.330

125x900 4x2T12 905 0.80 2R6-150 303 124 0.15 0.17 15.689 18.330

125x900 4x2T12 905 0.80 2R6-100 303 160 0.15 0.17 15.689 18.330

125x900 3x2T16 1206 1.07 2R6-200 411 112 0.20 0.23 15.557 18.469

125x900 3x2T16 1206 1.07 2R6-150 411 131 0.20 0.23 15.557 18.469

125x900 3x2T16 1206 1.07 2R6-100 411 167 0.20 0.23 15.557 18.469

125x900 4x2T16 1608 1.43 2R6-200 534 116 0.28 0.31 14.987 18.237

125x900 4x2T16 1608 1.43 2R6-150 534 134 0.28 0.31 14.987 18.237

125x900 4x2T16 1608 1.43 2R6-100 534 170 0.28 0.31 14.987 18.237

* Note for ground beams, the employment of the above capacities for the 125mm wide beam is recommended, but with the specification of a

150mm wide beam to cater for the need for greater cover to satisfy the more onerous durability requirements. # Note all beams assumed to have closed shear link loops throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

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33

Beam Capacity Table for T-Section (With Assumed Flange of Minimum 115mm) With

Case A: Simply Supported Span and b = 1.0 (For Use With Table 1)

Case B: Continuous Span and b = 1.2 (For Use With Table 2 and Table 3)

Beam Size

Flanged

(bw x h)

[Cover 25mm]

Reinforcement ULS Capacity Maximum Effective

Span, L (m)

for No Deflection

Government

Number

& Size

(mm)

Area

(mm2)

% Steel # Shear

Links

Bending

Moment,

M (kNm)

Shear

Force,

V (kN)

M/bd2 (N/mm

2)

Case A Case B Case A Case B

225x300 3T10 236 0.35 2R8-200 26 62 0.25 0.22 7.482 10.440

225x300 3T10 236 0.35 2R8-150 26 72 0.25 0.22 7.482 10.440

225x300 3T10 236 0.35 2R8-100 26 93 0.25 0.22 7.482 10.440

225x300 3T12 339 0.50 2R8-200 37 66 0.39 0.32 6.884 10.420

225x300 3T12 339 0.50 2R8-150 37 76 0.39 0.32 6.884 10.420

225x300 3T12 339 0.50 2R8-100 37 97 0.39 0.32 6.884 10.420

225x300 2x3T10 471 0.70 2R8-200 48 67 0.72 0.52 5.582 9.413

225x300 2x3T10 471 0.70 2R8-150 48 76 0.72 0.52 5.582 9.413

225x300 2x3T10 471 0.70 2R8-100 48 96 0.72 0.52 5.582 9.413

225x300 3T16 603 0.89 2R8-200 65 72 0.86 0.62 5.621 9.507

225x300 3T16 603 0.89 2R8-150 65 83 0.86 0.62 5.621 9.507

225x300 3T16 603 0.89 2R8-100 65 103 0.86 0.62 5.621 9.507

225x300 2x3T12 679 1.01 2R8-200 68 71 1.22 0.86 4.734 8.065

225x300 2x3T12 679 1.01 2R8-150 68 81 1.22 0.86 4.734 8.065

225x300 2x3T12 679 1.01 2R8-100 68 100 1.22 0.86 4.734 8.065

225x300 3x3T10 707 1.05 2R8-200 65 69 1.53 1.07 4.115 7.017

225x300 3x3T10 707 1.05 2R8-150 65 78 1.53 1.07 4.115 7.017

225x300 3x3T10 707 1.05 2R8-100 65 96 1.53 1.07 4.115 7.017

225x300 4x3T10 942 1.40 2R8-200 75 69 2.62 1.84 3.247 5.327

225x300 4x3T10 942 1.40 2R8-150 75 77 2.62 1.84 3.247 5.327

225x300 4x3T10 942 1.40 2R8-100 75 94 2.62 1.84 3.247 5.327

225x300 3x3T12 1018 1.51 2R8-200 87 73 2.48 1.75 3.503 5.805

225x300 3x3T12 1018 1.51 2R8-150 87 82 2.48 1.75 3.503 5.805

225x300 3x3T12 1018 1.51 2R8-100 87 100 2.48 1.75 3.503 5.805

225x300 2x3T16 1206 1.79 2R8-200 109 79 2.62 1.88 3.651 6.020

225x300 2x3T16 1206 1.79 2R8-150 109 89 2.62 1.88 3.651 6.020

225x300 2x3T16 1206 1.79 2R8-100 109 108 2.62 1.88 3.651 6.020

225x450 3T10 236 0.23 2R8-200 40 86 0.10 0.12 11.377 13.092

225x450 3T10 236 0.23 2R8-150 40 102 0.10 0.12 11.377 13.092

225x450 3T10 236 0.23 2R8-100 40 135 0.10 0.12 11.377 13.092

225x450 3T12 339 0.34 2R8-200 58 91 0.15 0.17 11.171 13.076

225x450 3T12 339 0.34 2R8-150 58 107 0.15 0.17 11.171 13.076

225x450 3T12 339 0.34 2R8-100 58 140 0.15 0.17 11.171 13.076

225x450 2x3T10 471 0.47 2R8-200 77 93 0.23 0.25 10.670 12.812

225x450 2x3T10 471 0.47 2R8-150 77 108 0.23 0.25 10.670 12.812

225x450 2x3T10 471 0.47 2R8-100 77 140 0.23 0.25 10.670 12.812

225x450 3T16 603 0.60 2R8-200 102 99 0.29 0.30 10.691 13.045

225x450 3T16 603 0.60 2R8-150 102 115 0.29 0.30 10.691 13.045

225x450 3T16 603 0.60 2R8-100 102 148 0.29 0.30 10.691 13.045

225x450 2x3T12 679 0.67 2R8-200 111 98 0.35 0.36 10.297 12.780

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225x450 2x3T12 679 0.67 2R8-150 111 114 0.35 0.36 10.297 12.780

225x450 2x3T12 679 0.67 2R8-100 111 145 0.35 0.36 10.297 12.780

225x450 3x3T10 707 0.70 2R8-200 111 96 0.39 0.40 9.958 12.449

225x450 3x3T10 707 0.70 2R8-150 111 111 0.39 0.40 9.958 12.449

225x450 3x3T10 707 0.70 2R8-100 111 141 0.39 0.40 9.958 12.449

225x450 4x3T10 942 0.93 2R8-200 141 98 0.64 0.59 8.449 11.565

225x450 4x3T10 942 0.93 2R8-150 141 112 0.64 0.59 8.449 11.565

225x450 4x3T10 942 0.93 2R8-100 141 141 0.64 0.59 8.449 11.565

225x450 3x3T12 1018 1.01 2R8-200 158 102 0.64 0.60 8.799 11.759

225x450 3x3T12 1018 1.01 2R8-150 158 117 0.64 0.60 8.799 11.759

225x450 3x3T12 1018 1.01 2R8-100 158 147 0.64 0.60 8.799 11.759

225x450 2x3T16 1206 1.19 2R8-200 195 108 0.73 0.69 8.833 11.759

225x450 2x3T16 1206 1.19 2R8-150 195 124 0.73 0.69 8.833 11.759

225x450 2x3T16 1206 1.19 2R8-100 195 155 0.73 0.69 8.833 11.759

225x450 4x3T12 1357 1.34 2R8-200 200 105 1.10 0.91 7.157 10.765

225x450 4x3T12 1357 1.34 2R8-150 200 119 1.10 0.91 7.157 10.765

225x450 4x3T12 1357 1.34 2R8-100 200 147 1.10 0.91 7.157 10.765

225x450 3x3T16 1810 1.79 2R8-200 270 113 1.48 1.20 6.750 10.458

225x450 3x3T16 1810 1.79 2R8-150 270 128 1.48 1.20 6.750 10.458

225x450 3x3T16 1810 1.79 2R8-100 270 157 1.48 1.20 6.750 10.458

225x450 4x3T16 2413 2.38 2R8-200 321 115 2.46 1.90 5.407 8.736

225x450 4x3T16 2413 2.38 2R8-150 321 129 2.46 1.90 5.407 8.736

225x450 4x3T16 2413 2.38 2R8-100 321 157 2.46 1.90 5.407 8.736

225x600 3T10 236 0.17 2R8-200 55 109 0.06 0.07 13.410 15.290

225x600 3T10 236 0.17 2R8-150 55 131 0.06 0.07 13.410 15.290

225x600 3T10 236 0.17 2R8-100 55 176 0.06 0.07 13.410 15.290

225x600 3T12 339 0.25 2R8-200 79 114 0.09 0.11 13.323 15.277

225x600 3T12 339 0.25 2R8-150 79 137 0.09 0.11 13.323 15.277

225x600 3T12 339 0.25 2R8-100 79 181 0.09 0.11 13.323 15.277

225x600 2x3T10 471 0.35 2R8-200 107 117 0.14 0.15 12.924 15.051

225x600 2x3T10 471 0.35 2R8-150 107 139 0.14 0.15 12.924 15.051

225x600 2x3T10 471 0.35 2R8-100 107 182 0.14 0.15 12.924 15.051

225x600 3T16 603 0.45 2R8-200 140 124 0.17 0.19 12.942 15.250

225x600 3T16 603 0.45 2R8-150 140 146 0.17 0.19 12.942 15.250

225x600 3T16 603 0.45 2R8-100 140 191 0.17 0.19 12.942 15.250

225x600 2x3T12 679 0.50 2R8-200 153 124 0.21 0.22 12.618 15.023

225x600 2x3T12 679 0.50 2R8-150 153 145 0.21 0.22 12.618 15.023

225x600 2x3T12 679 0.50 2R8-100 153 188 0.21 0.22 12.618 15.023

225x600 3x3T10 707 0.52 2R8-200 155 122 0.23 0.24 12.360 14.807

225x600 3x3T10 707 0.52 2R8-150 155 143 0.23 0.24 12.360 14.807

225x600 3x3T10 707 0.52 2R8-100 155 185 0.23 0.24 12.360 14.807

225x600 4x3T10 942 0.70 2R8-200 199 125 0.33 0.34 11.801 14.559

225x600 4x3T10 942 0.70 2R8-150 199 145 0.33 0.34 11.801 14.559

225x600 4x3T10 942 0.70 2R8-100 199 186 0.33 0.34 11.801 14.559

225x600 3x3T12 1018 0.75 2R8-200 221 129 0.34 0.35 11.932 14.765

225x600 3x3T12 1018 0.75 2R8-150 221 150 0.34 0.35 11.932 14.765

225x600 3x3T12 1018 0.75 2R8-100 221 191 0.34 0.35 11.932 14.765

225x600 2x3T16 1206 0.89 2R8-200 270 135 0.39 0.40 11.925 14.837

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35

225x600 2x3T16 1206 0.89 2R8-150 270 157 0.39 0.40 11.925 14.837

225x600 2x3T16 1206 0.89 2R8-100 270 200 0.39 0.40 11.925 14.837

225x600 4x3T12 1357 1.01 2R8-200 285 132 0.49 0.51 11.260 13.978

225x600 4x3T12 1357 1.01 2R8-150 285 152 0.49 0.51 11.260 13.978

225x600 4x3T12 1357 1.01 2R8-100 285 193 0.49 0.51 11.260 13.978

225x600 3x3T16 1810 1.34 2R8-200 389 142 0.66 0.68 11.003 13.605

225x600 3x3T16 1810 1.34 2R8-150 389 162 0.66 0.68 11.003 13.605

225x600 3x3T16 1810 1.34 2R8-100 389 204 0.66 0.68 11.003 13.605

225x600 4x3T16 2413 1.79 2R8-200 498 146 0.99 1.02 10.178 12.509

225x600 4x3T16 2413 1.79 2R8-150 498 166 0.99 1.02 10.178 12.509

225x600 4x3T16 2413 1.79 2R8-100 498 205 0.99 1.02 10.178 12.509

225x750 3T10 236 0.14 2R8-200 70 131 0.05 0.05 15.094 17.208

225x750 3T10 236 0.14 2R8-150 70 160 0.05 0.05 15.094 17.208

225x750 3T10 236 0.14 2R8-100 70 216 0.05 0.05 15.094 17.208

225x750 3T12 339 0.20 2R8-200 100 137 0.07 0.08 15.084 17.198

225x750 3T12 339 0.20 2R8-150 100 165 0.07 0.08 15.084 17.198

225x750 3T12 339 0.20 2R8-100 100 222 0.07 0.08 15.084 17.198

225x750 2x3T10 471 0.28 2R8-200 136 141 0.10 0.11 14.821 16.998

225x750 2x3T10 471 0.28 2R8-150 136 168 0.10 0.11 14.821 16.998

225x750 2x3T10 471 0.28 2R8-100 136 224 0.10 0.11 14.821 16.998

225x750 3T16 603 0.36 2R8-200 178 148 0.12 0.13 14.846 17.168

225x750 3T16 603 0.36 2R8-150 178 176 0.12 0.13 14.846 17.168

225x750 3T16 603 0.36 2R8-100 178 232 0.12 0.13 14.846 17.168

225x750 2x3T12 679 0.40 2R8-200 195 148 0.14 0.16 14.569 16.973

225x750 2x3T12 679 0.40 2R8-150 195 175 0.14 0.16 14.569 16.973

225x750 2x3T12 679 0.40 2R8-100 195 230 0.14 0.16 14.569 16.973

225x750 3x3T10 707 0.42 2R8-200 199 146 0.15 0.17 14.348 16.782

225x750 3x3T10 707 0.42 2R8-150 199 173 0.15 0.17 14.348 16.782

225x750 3x3T10 707 0.42 2R8-100 199 227 0.15 0.17 14.348 16.782

225x750 4x3T10 942 0.56 2R8-200 258 150 0.21 0.23 13.880 16.564

225x750 4x3T10 942 0.56 2R8-150 258 176 0.21 0.23 13.880 16.564

225x750 4x3T10 942 0.56 2R8-100 258 229 0.21 0.23 13.880 16.564

225x750 3x3T12 1018 0.60 2R8-200 285 154 0.22 0.24 13.981 16.745

225x750 3x3T12 1018 0.60 2R8-150 285 181 0.22 0.24 13.981 16.745

225x750 3x3T12 1018 0.60 2R8-100 285 235 0.22 0.24 13.981 16.745

225x750 2x3T16 1206 0.71 2R8-200 345 161 0.26 0.28 13.981 16.924

225x750 2x3T16 1206 0.71 2R8-150 345 188 0.26 0.28 13.981 16.924

225x750 2x3T16 1206 0.71 2R8-100 345 243 0.26 0.28 13.981 16.924

225x750 4x3T12 1357 0.80 2R8-200 369 158 0.32 0.34 13.403 16.516

225x750 4x3T12 1357 0.80 2R8-150 369 184 0.32 0.34 13.403 16.516

225x750 4x3T12 1357 0.80 2R8-100 369 237 0.32 0.34 13.403 16.516

225x750 3x3T16 1810 1.07 2R8-200 502 169 0.43 0.45 13.157 16.330

225x750 3x3T16 1810 1.07 2R8-150 502 195 0.43 0.45 13.157 16.330

225x750 3x3T16 1810 1.07 2R8-100 502 248 0.43 0.45 13.157 16.330

225x750 4x3T16 2413 1.43 2R8-200 649 174 0.62 0.65 12.388 15.300

225x750 4x3T16 2413 1.43 2R8-150 649 200 0.62 0.65 12.388 15.300

225x750 4x3T16 2413 1.43 2R8-100 649 251 0.62 0.65 12.388 15.300

225x900 3T12 339 0.17 2R8-200 121 159 0.05 0.06 16.598 18.925

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36

225x900 3T12 339 0.17 2R8-150 121 194 0.05 0.06 16.598 18.925

225x900 3T12 339 0.17 2R8-100 121 262 0.05 0.06 16.598 18.925

225x900 2x3T10 471 0.23 2R8-200 165 163 0.07 0.08 16.432 18.736

225x900 2x3T10 471 0.23 2R8-150 165 197 0.07 0.08 16.432 18.736

225x900 2x3T10 471 0.23 2R8-100 165 264 0.07 0.08 16.432 18.736

225x900 3T16 603 0.30 2R8-200 215 171 0.09 0.10 16.523 18.903

225x900 3T16 603 0.30 2R8-150 215 205 0.09 0.10 16.523 18.903

225x900 3T16 603 0.30 2R8-100 215 274 0.09 0.10 16.523 18.903

225x900 2x3T12 679 0.34 2R8-200 237 171 0.10 0.12 16.278 18.714

225x900 2x3T12 679 0.34 2R8-150 237 205 0.10 0.12 16.278 18.714

225x900 2x3T12 679 0.34 2R8-100 237 272 0.10 0.12 16.278 18.714

225x900 3x3T10 707 0.35 2R8-200 243 170 0.11 0.13 16.084 18.548

225x900 3x3T10 707 0.35 2R8-150 243 203 0.11 0.13 16.084 18.548

225x900 3x3T10 707 0.35 2R8-100 243 268 0.11 0.13 16.084 18.548

225x900 4x3T10 942 0.47 2R8-200 317 174 0.15 0.17 15.676 18.351

225x900 4x3T10 942 0.47 2R8-150 317 206 0.15 0.17 15.676 18.351

225x900 4x3T10 942 0.47 2R8-100 317 271 0.15 0.17 15.676 18.351

225x900 3x3T12 1018 0.50 2R8-200 348 178 0.16 0.18 15.768 18.514

225x900 3x3T12 1018 0.50 2R8-150 348 211 0.16 0.18 15.768 18.514

225x900 3x3T12 1018 0.50 2R8-100 348 277 0.16 0.18 15.768 18.514

225x900 2x3T16 1206 0.60 2R8-200 420 185 0.19 0.21 15.768 18.677

225x900 2x3T16 1206 0.60 2R8-150 420 219 0.19 0.21 15.768 18.677

225x900 2x3T16 1206 0.60 2R8-100 420 286 0.19 0.21 15.768 18.677

225x900 4x3T12 1357 0.67 2R8-200 454 183 0.23 0.25 15.266 18.307

225x900 4x3T12 1357 0.67 2R8-150 454 216 0.23 0.25 15.266 18.307

225x900 4x3T12 1357 0.67 2R8-100 454 280 0.23 0.25 15.266 18.307

225x900 3x3T16 1810 0.89 2R8-200 615 194 0.31 0.33 15.037 18.447

225x900 3x3T16 1810 0.89 2R8-150 615 227 0.31 0.33 15.037 18.447

225x900 3x3T16 1810 0.89 2R8-100 615 292 0.31 0.33 15.037 18.447

225x900 4x3T16 2413 1.19 2R8-200 799 201 0.44 0.46 14.337 17.780

225x900 4x3T16 2413 1.19 2R8-150 799 232 0.44 0.46 14.337 17.780

225x900 4x3T16 2413 1.19 2R8-100 799 296 0.44 0.46 14.337 17.780

* Note for ground beams, the employment of the above capacities for the 225mm wide beam is recommended, but with the specification of a

250mm wide beam to cater for the need for greater cover to satisfy the more onerous durability requirements. # Note all beams assumed to have closed shear link loops throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

Page 37: Standard Structural Designs for Low Rise Residential ... · PDF file9.0 STANDARD RC COLUMN AND RC WALL ... section design is based upon BS8110 ... Standard Structural Designs for Low-Rise

Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

37

Beam Capacity Table for Rectangular-Section With

Case C: Simply Supported Span and b = 1.0 (For Use With Table 4)

Case D: Continuous Span and b = 0.8 (For Use With Table 5 and Table 6)

Case E: Cantilever Span and b = 1.0 (For Use With Table 7)

Beam Size

Rectangular

(b x h) @

[Cover

25mm

+10mm]

Reinforcement ULS Capacity # Maximum

Effective

Span, L (m)

for No LTB

Slenderness

Limit

Government

Number

& Size

(mm)

Area

(mm2)

%

Steel

^ Shear

Links

Bending

Moment,

M (kNm)

Shear Force,

V (kN) M/bd

2 (N/mm

2)

Case C

Case E Case D

Case C

Case E Case D

Case C

Case E Case D

Case C

Case D Case E

125x300 2T10 157 0.42 2R6-200 16 16 35 35 1.91 1.91 12.500 3.125

125x300 2T10 157 0.42 2R6-150 16 16 41 41 1.91 1.91 12.500 3.125

125x300 2T10 157 0.42 2R6-100 16 16 53 53 1.91 1.91 12.500 3.125

125x300 2T12 226 0.60 2R6-200 22 22 38 38 2.64 2.64 12.500 3.125

125x300 2T12 226 0.60 2R6-150 22 22 43 43 2.64 2.64 12.500 3.125

125x300 2T12 226 0.60 2R6-100 22 22 55 55 2.64 2.64 12.500 3.125

125x300 2x2T10 314 0.84 2R6-200 27 N/A 38 N/A 3.62 N/A 12.500 3.125

125x300 2x2T10 314 0.84 2R6-150 27 N/A 44 N/A 3.62 N/A 12.500 3.125

125x300 2x2T10 314 0.84 2R6-100 27 N/A 55 N/A 3.62 N/A 12.500 3.125

125x450 2T10 157 0.28 2R6-200 26 26 49 49 1.26 1.26 12.500 3.125

125x450 2T10 157 0.28 2R6-150 26 26 58 58 1.26 1.26 12.500 3.125

125x450 2T10 157 0.28 2R6-100 26 26 77 77 1.26 1.26 12.500 3.125

125x450 2T12 226 0.40 2R6-200 37 37 52 52 1.77 1.77 12.500 3.125

125x450 2T12 226 0.40 2R6-150 37 37 61 61 1.77 1.77 12.500 3.125

125x450 2T12 226 0.40 2R6-100 37 37 79 79 1.77 1.77 12.500 3.125

125x450 2x2T10 314 0.56 2R6-200 47 47 53 53 2.45 2.45 12.500 3.125

125x450 2x2T10 314 0.56 2R6-150 47 47 62 62 2.45 2.45 12.500 3.125

125x450 2x2T10 314 0.56 2R6-100 47 47 80 80 2.45 2.45 12.500 3.125

125x450 2T16 402 0.71 2R6-200 61 61 57 57 2.92 2.92 12.500 3.125

125x450 2T16 402 0.71 2R6-150 61 61 66 66 2.92 2.92 12.500 3.125

125x450 2T16 402 0.71 2R6-100 61 61 84 84 2.92 2.92 12.500 3.125

125x450 2x2T12 452 0.80 2R6-200 63 N/A 56 N/A 3.32 N/A 12.500 3.125

125x450 2x2T12 452 0.80 2R6-150 63 N/A 65 N/A 3.32 N/A 12.500 3.125

125x450 2x2T12 452 0.80 2R6-100 63 N/A 83 N/A 3.32 N/A 12.500 3.125

125x450 3x2T10 471 0.84 2R6-200 62 N/A 55 N/A 3.54 N/A 12.500 3.125

125x450 3x2T10 471 0.84 2R6-150 62 N/A 64 N/A 3.54 N/A 12.500 3.125

125x450 3x2T10 471 0.84 2R6-100 62 N/A 81 N/A 3.54 N/A 12.500 3.125

125x600 2T10 157 0.21 2R6-200 37 37 62 62 0.93 0.93 11.626 2.790

125x600 2T10 157 0.21 2R6-150 37 37 75 75 0.93 0.93 11.626 2.790

125x600 2T10 157 0.21 2R6-100 37 37 100 100 0.93 0.93 11.626 2.790

125x600 2T12 226 0.30 2R6-200 52 52 65 65 1.33 1.33 11.647 2.795

125x600 2T12 226 0.30 2R6-150 52 52 78 78 1.33 1.33 11.647 2.795

125x600 2T12 226 0.30 2R6-100 52 52 103 103 1.33 1.33 11.647 2.795

125x600 2x2T10 314 0.42 2R6-200 68 68 67 67 1.84 1.84 12.001 2.880

125x600 2x2T10 314 0.42 2R6-150 68 68 79 79 1.84 1.84 12.001 2.880

125x600 2x2T10 314 0.42 2R6-100 68 68 104 104 1.84 1.84 12.001 2.880

125x600 2T16 402 0.54 2R6-200 87 87 71 71 2.24 2.24 11.688 2.805

125x600 2T16 402 0.54 2R6-150 87 87 84 84 2.24 2.24 11.688 2.805

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125x600 2T16 402 0.54 2R6-100 87 87 109 109 2.24 2.24 11.688 2.805

125x600 2x2T12 452 0.60 2R6-200 93 93 71 71 2.55 2.55 12.045 2.891

125x600 2x2T12 452 0.60 2R6-150 93 93 83 83 2.55 2.55 12.045 2.891

125x600 2x2T12 452 0.60 2R6-100 93 93 107 107 2.55 2.55 12.045 2.891

125x600 3x2T10 471 0.63 2R6-200 93 93 70 70 2.70 2.70 12.401 2.976

125x600 3x2T10 471 0.63 2R6-150 93 93 82 82 2.70 2.70 12.401 2.976

125x600 3x2T10 471 0.63 2R6-100 93 93 105 105 2.70 2.70 12.401 2.976

125x600 4x2T10 628 0.84 2R6-200 113 N/A 72 N/A 3.50 N/A 12.500 3.079

125x600 4x2T10 628 0.84 2R6-150 113 N/A 83 N/A 3.50 N/A 12.500 3.079

125x600 4x2T10 628 0.84 2R6-100 113 N/A 106 N/A 3.50 N/A 12.500 3.079

125x600 3x2T12 679 0.90 2R6-200 124 N/A 74 N/A 3.63 N/A 12.472 2.993

125x600 3x2T12 679 0.90 2R6-150 124 N/A 86 N/A 3.63 N/A 12.472 2.993

125x600 3x2T12 679 0.90 2R6-100 124 N/A 109 N/A 3.63 N/A 12.472 2.993

125x750 2T10 157 0.17 2R6-200 46 46 75 75 0.73 0.73 9.170 2.201

125x750 2T10 157 0.17 2R6-150 46 46 91 91 0.73 0.73 9.170 2.201

125x750 2T10 157 0.17 2R6-100 46 46 123 123 0.73 0.73 9.170 2.201

125x750 2T12 226 0.24 2R6-200 67 67 78 78 1.06 1.06 9.183 2.204

125x750 2T12 226 0.24 2R6-150 67 67 94 94 1.06 1.06 9.183 2.204

125x750 2T12 226 0.24 2R6-100 67 67 126 126 1.06 1.06 9.183 2.204

125x750 2x2T10 314 0.34 2R6-200 88 88 81 81 1.47 1.47 9.401 2.256

125x750 2x2T10 314 0.34 2R6-150 88 88 96 96 1.47 1.47 9.401 2.256

125x750 2x2T10 314 0.34 2R6-100 88 88 127 127 1.47 1.47 9.401 2.256

125x750 2T16 402 0.43 2R6-200 113 113 85 85 1.81 1.81 9.209 2.210

125x750 2T16 402 0.43 2R6-150 113 113 101 101 1.81 1.81 9.209 2.210

125x750 2T16 402 0.43 2R6-100 113 113 132 132 1.81 1.81 9.209 2.210

125x750 2x2T12 452 0.48 2R6-200 123 123 85 85 2.06 2.06 9.429 2.263

125x750 2x2T12 452 0.48 2R6-150 123 123 100 100 2.06 2.06 9.429 2.263

125x750 2x2T12 452 0.48 2R6-100 123 123 131 131 2.06 2.06 9.429 2.263

125x750 3x2T10 471 0.50 2R6-200 124 124 84 84 2.18 2.18 9.645 2.315

125x750 3x2T10 471 0.50 2R6-150 124 124 99 99 2.18 2.18 9.645 2.315

125x750 3x2T10 471 0.50 2R6-100 124 124 129 129 2.18 2.18 9.645 2.315

125x750 4x2T10 628 0.67 2R6-200 154 154 86 86 2.84 2.84 9.902 2.376

125x750 4x2T10 628 0.67 2R6-150 154 154 101 101 2.84 2.84 9.902 2.376

125x750 4x2T10 628 0.67 2R6-100 154 154 130 130 2.84 2.84 9.902 2.376

125x750 3x2T12 679 0.72 2R6-200 168 168 89 89 2.98 2.98 9.688 2.325

125x750 3x2T12 679 0.72 2R6-150 168 168 104 104 2.98 2.98 9.688 2.325

125x750 3x2T12 679 0.72 2R6-100 168 168 134 134 2.98 2.98 9.688 2.325

125x750 2x2T16 804 0.86 2R6-200 197 N/A 92 N/A 3.35 N/A 9.483 2.276

125x750 2x2T16 804 0.86 2R6-150 197 N/A 108 N/A 3.35 N/A 9.483 2.276

125x750 2x2T16 804 0.86 2R6-100 197 N/A 139 N/A 3.35 N/A 9.483 2.276

125x750 4x2T12 905 0.97 2R6-200 203 N/A 91 N/A 3.80 N/A 9.962 2.391

125x750 4x2T12 905 0.97 2R6-150 203 N/A 106 N/A 3.80 N/A 9.962 2.391

125x750 4x2T12 905 0.97 2R6-100 203 N/A 135 N/A 3.80 N/A 9.962 2.391

125x900 2T10 157 0.14 2R6-200 56 56 87 87 0.61 0.61 7.570 1.817

125x900 2T10 157 0.14 2R6-150 56 56 107 107 0.61 0.61 7.570 1.817

125x900 2T10 157 0.14 2R6-100 56 56 145 145 0.61 0.61 7.570 1.817

125x900 2T12 226 0.20 2R6-200 81 81 91 91 0.87 0.87 7.579 1.819

125x900 2T12 226 0.20 2R6-150 81 81 110 110 0.87 0.87 7.579 1.819

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125x900 2T12 226 0.20 2R6-100 81 81 149 149 0.87 0.87 7.579 1.819

125x900 2x2T10 314 0.28 2R6-200 109 109 93 93 1.23 1.23 7.727 1.855

125x900 2x2T10 314 0.28 2R6-150 109 109 112 112 1.23 1.23 7.727 1.855

125x900 2x2T10 314 0.28 2R6-100 109 109 150 150 1.23 1.23 7.727 1.855

125x900 2T16 402 0.36 2R6-200 140 140 98 98 1.52 1.52 7.597 1.823

125x900 2T16 402 0.36 2R6-150 140 140 117 117 1.52 1.52 7.597 1.823

125x900 2T16 402 0.36 2R6-100 140 140 155 155 1.52 1.52 7.597 1.823

125x900 2x2T12 452 0.40 2R6-200 152 152 98 98 1.73 1.73 7.746 1.859

125x900 2x2T12 452 0.40 2R6-150 152 152 117 117 1.73 1.73 7.746 1.859

125x900 2x2T12 452 0.40 2R6-100 152 152 155 155 1.73 1.73 7.746 1.859

125x900 3x2T10 471 0.42 2R6-200 155 155 97 97 1.82 1.82 7.891 1.894

125x900 3x2T10 471 0.42 2R6-150 155 155 116 116 1.82 1.82 7.891 1.894

125x900 3x2T10 471 0.42 2R6-100 155 155 153 153 1.82 1.82 7.891 1.894

125x900 4x2T10 628 0.56 2R6-200 195 195 100 100 2.39 2.39 8.062 1.935

125x900 4x2T10 628 0.56 2R6-150 195 195 118 118 2.39 2.39 8.062 1.935

125x900 4x2T10 628 0.56 2R6-100 195 195 154 154 2.39 2.39 8.062 1.935

125x900 3x2T12 679 0.60 2R6-200 212 212 102 102 2.52 2.52 7.920 1.901

125x900 3x2T12 679 0.60 2R6-150 212 212 121 121 2.52 2.52 7.920 1.901

125x900 3x2T12 679 0.60 2R6-100 212 212 158 158 2.52 2.52 7.920 1.901

125x900 2x2T16 804 0.71 2R6-200 250 250 107 107 2.86 2.86 7.783 1.868

125x900 2x2T16 804 0.71 2R6-150 250 250 125 125 2.86 2.86 7.783 1.868

125x900 2x2T16 804 0.71 2R6-100 250 250 163 163 2.86 2.86 7.783 1.868

125x900 4x2T12 905 0.80 2R6-200 262 262 105 105 3.25 3.25 8.103 1.945

125x900 4x2T12 905 0.80 2R6-150 262 262 123 123 3.25 3.25 8.103 1.945

125x900 4x2T12 905 0.80 2R6-100 262 262 159 159 3.25 3.25 8.103 1.945

# Note for cantilever spans, catering for the likelihood of unrestrained compression flange (at the supports), the spans L have been limited to the

lateral torsional buckling slenderness limits of cl.3.4.1.6 BS8110 of MIN (25b, 100b2/d). # Note for simply supported and continuous spans, catering for the likelihood of unrestrained compression flange (at the supports), the (equivalent

hogging) span have been limited to the lateral torsional buckling slenderness limits of cl.3.4.1.6 BS8110 of MIN (60b, 250b2/d). The equivalent

hogging span has been taken as 0.6L as the assumed distance between points of contraflexure. @ Note an additional 10mm notional cover has been added to the 25mm cover in recognition of the fact that there would be transverse slab

reinforcement that runs over the beam hogging reinforcement. ^ Note all beams assumed to have closed shear link loops throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

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Beam Capacity Table for Rectangular-Section With

Case C: Simply Supported Span and b = 1.0 (For Use With Table 4)

Case D: Continuous Span and b = 0.8 (For Use With Table 5 and Table 6)

Case E: Cantilever Span and b = 1.0 (For Use With Table 7)

Beam Size

Rectangular

(b x h) @

[Cover

25mm

+10mm]

Reinforcement ULS Capacity # Maximum

Effective

Span, L (m)

for No LTB

Slenderness

Limit

Government

Number

& Size

(mm)

Area

(mm2)

%

Steel

^ Shear

Links

Bending

Moment,

M (kNm)

Shear Force,

V (kN) M/bd

2 (N/mm

2)

Case C

Case E Case D

Case C

Case E Case D

Case C

Case E Case D

Case C

Case D Case E

225x300 3T10 236 0.35 2R8-200 25 25 61 61 1.62 1.62 22.500 5.625

225x300 3T10 236 0.35 2R8-150 25 25 72 72 1.62 1.62 22.500 5.625

225x300 3T10 236 0.35 2R8-100 25 25 92 92 1.62 1.62 22.500 5.625

225x300 3T12 339 0.50 2R8-200 34 34 65 65 2.26 2.26 22.500 5.625

225x300 3T12 339 0.50 2R8-150 34 34 76 76 2.26 2.26 22.500 5.625

225x300 3T12 339 0.50 2R8-100 34 34 96 96 2.26 2.26 22.500 5.625

225x300 2x3T10 471 0.70 2R8-200 42 42 66 66 3.14 3.14 22.500 5.625

225x300 2x3T10 471 0.70 2R8-150 42 42 76 76 3.14 3.14 22.500 5.625

225x300 2x3T10 471 0.70 2R8-100 42 42 95 95 3.14 3.14 22.500 5.625

225x300 3T16 603 0.89 2R8-200 54 N/A 72 N/A 3.63 N/A 22.500 5.625

225x300 3T16 603 0.89 2R8-150 54 N/A 82 N/A 3.63 N/A 22.500 5.625

225x300 3T16 603 0.89 2R8-100 54 N/A 103 N/A 3.63 N/A 22.500 5.625

225x450 3T10 236 0.23 2R8-200 40 40 86 86 1.06 1.06 22.500 5.625

225x450 3T10 236 0.23 2R8-150 40 40 102 102 1.06 1.06 22.500 5.625

225x450 3T10 236 0.23 2R8-100 40 40 135 135 1.06 1.06 22.500 5.625

225x450 3T12 339 0.34 2R8-200 56 56 90 90 1.50 1.50 22.500 5.625

225x450 3T12 339 0.34 2R8-150 56 56 107 107 1.50 1.50 22.500 5.625

225x450 3T12 339 0.34 2R8-100 56 56 139 139 1.50 1.50 22.500 5.625

225x450 2x3T10 471 0.47 2R8-200 72 72 92 92 2.09 2.09 22.500 5.625

225x450 2x3T10 471 0.47 2R8-150 72 72 108 108 2.09 2.09 22.500 5.625

225x450 2x3T10 471 0.47 2R8-100 72 72 139 139 2.09 2.09 22.500 5.625

225x450 3T16 603 0.60 2R8-200 94 94 99 99 2.51 2.51 22.500 5.625

225x450 3T16 603 0.60 2R8-150 94 94 115 115 2.51 2.51 22.500 5.625

225x450 3T16 603 0.60 2R8-100 94 94 147 147 2.51 2.51 22.500 5.625

225x450 2x3T12 679 0.67 2R8-200 98 98 98 98 2.87 2.87 22.500 5.625

225x450 2x3T12 679 0.67 2R8-150 98 98 113 113 2.87 2.87 22.500 5.625

225x450 2x3T12 679 0.67 2R8-100 98 98 144 144 2.87 2.87 22.500 5.625

225x450 3x3T10 707 0.70 2R8-200 97 97 96 96 3.07 3.07 22.500 5.625

225x450 3x3T10 707 0.70 2R8-150 97 97 111 111 3.07 3.07 22.500 5.625

225x450 3x3T10 707 0.70 2R8-100 97 97 141 141 3.07 3.07 22.500 5.625

225x600 3T10 236 0.17 2R8-200 55 55 109 109 0.78 0.78 22.500 5.625

225x600 3T10 236 0.17 2R8-150 55 55 131 131 0.78 0.78 22.500 5.625

225x600 3T10 236 0.17 2R8-100 55 55 176 176 0.78 0.78 22.500 5.625

225x600 3T12 339 0.25 2R8-200 79 79 114 114 1.12 1.12 22.500 5.625

225x600 3T12 339 0.25 2R8-150 79 79 136 136 1.12 1.12 22.500 5.625

225x600 3T12 339 0.25 2R8-100 79 79 181 181 1.12 1.12 22.500 5.625

225x600 2x3T10 471 0.35 2R8-200 103 103 117 117 1.56 1.56 22.500 5.625

225x600 2x3T10 471 0.35 2R8-150 103 103 138 138 1.56 1.56 22.500 5.625

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225x600 2x3T10 471 0.35 2R8-100 103 103 182 182 1.56 1.56 22.500 5.625

225x600 3T16 603 0.45 2R8-200 133 133 124 124 1.91 1.91 22.500 5.625

225x600 3T16 603 0.45 2R8-150 133 133 146 146 1.91 1.91 22.500 5.625

225x600 3T16 603 0.45 2R8-100 133 133 190 190 1.91 1.91 22.500 5.625

225x600 2x3T12 679 0.50 2R8-200 143 143 123 123 2.18 2.18 22.500 5.625

225x600 2x3T12 679 0.50 2R8-150 143 143 145 145 2.18 2.18 22.500 5.625

225x600 2x3T12 679 0.50 2R8-100 143 143 188 188 2.18 2.18 22.500 5.625

225x600 3x3T10 707 0.52 2R8-200 143 143 121 121 2.31 2.31 22.500 5.625

225x600 3x3T10 707 0.52 2R8-150 143 143 142 142 2.31 2.31 22.500 5.625

225x600 3x3T10 707 0.52 2R8-100 143 143 184 184 2.31 2.31 22.500 5.625

225x600 4x3T10 942 0.70 2R8-200 175 175 124 124 3.03 3.03 22.500 5.625

225x600 4x3T10 942 0.70 2R8-150 175 175 145 145 3.03 3.03 22.500 5.625

225x600 4x3T10 942 0.70 2R8-100 175 175 185 185 3.03 3.03 22.500 5.625

225x600 3x3T12 1018 0.75 2R8-200 193 193 129 129 3.15 3.15 22.500 5.625

225x600 3x3T12 1018 0.75 2R8-150 193 193 149 149 3.15 3.15 22.500 5.625

225x600 3x3T12 1018 0.75 2R8-100 193 193 191 191 3.15 3.15 22.500 5.625

225x600 2x3T16 1206 0.89 2R8-200 228 N/A 135 N/A 3.52 N/A 22.500 5.625

225x600 2x3T16 1206 0.89 2R8-150 228 N/A 156 N/A 3.52 N/A 22.500 5.625

225x600 2x3T16 1206 0.89 2R8-100 228 N/A 199 N/A 3.52 N/A 22.500 5.625

225x750 3T10 236 0.14 2R8-200 69 70 131 131 0.61 0.61 22.500 5.625

225x750 3T10 236 0.14 2R8-150 69 70 159 159 0.61 0.61 22.500 5.625

225x750 3T10 236 0.14 2R8-100 69 70 216 216 0.61 0.61 22.500 5.625

225x750 3T12 339 0.20 2R8-200 100 100 137 137 0.88 0.88 22.500 5.625

225x750 3T12 339 0.20 2R8-150 100 100 165 165 0.88 0.88 22.500 5.625

225x750 3T12 339 0.20 2R8-100 100 100 221 221 0.88 0.88 22.500 5.625

225x750 2x3T10 471 0.28 2R8-200 134 134 140 140 1.24 1.24 22.500 5.625

225x750 2x3T10 471 0.28 2R8-150 134 134 168 168 1.24 1.24 22.500 5.625

225x750 2x3T10 471 0.28 2R8-100 134 134 223 223 1.24 1.24 22.500 5.625

225x750 3T16 603 0.36 2R8-200 173 173 148 148 1.53 1.53 22.500 5.625

225x750 3T16 603 0.36 2R8-150 173 173 176 176 1.53 1.53 22.500 5.625

225x750 3T16 603 0.36 2R8-100 173 173 232 232 1.53 1.53 22.500 5.625

225x750 2x3T12 679 0.40 2R8-200 188 188 147 147 1.75 1.75 22.500 5.625

225x750 2x3T12 679 0.40 2R8-150 188 188 175 175 1.75 1.75 22.500 5.625

225x750 2x3T12 679 0.40 2R8-100 188 188 230 230 1.75 1.75 22.500 5.625

225x750 3x3T10 707 0.42 2R8-200 190 190 146 146 1.85 1.85 22.500 5.625

225x750 3x3T10 707 0.42 2R8-150 190 190 173 173 1.85 1.85 22.500 5.625

225x750 3x3T10 707 0.42 2R8-100 190 190 226 226 1.85 1.85 22.500 5.625

225x750 4x3T10 942 0.56 2R8-200 237 237 150 150 2.44 2.44 22.500 5.625

225x750 4x3T10 942 0.56 2R8-150 237 237 176 176 2.44 2.44 22.500 5.625

225x750 4x3T10 942 0.56 2R8-100 237 237 228 228 2.44 2.44 22.500 5.625

225x750 3x3T12 1018 0.60 2R8-200 260 260 154 154 2.56 2.56 22.500 5.625

225x750 3x3T12 1018 0.60 2R8-150 260 260 181 181 2.56 2.56 22.500 5.625

225x750 3x3T12 1018 0.60 2R8-100 260 260 234 234 2.56 2.56 22.500 5.625

225x750 2x3T16 1206 0.71 2R8-200 307 307 160 160 2.90 2.90 22.500 5.625

225x750 2x3T16 1206 0.71 2R8-150 307 307 188 188 2.90 2.90 22.500 5.625

225x750 2x3T16 1206 0.71 2R8-100 307 307 242 242 2.90 2.90 22.500 5.625

225x750 4x3T12 1357 0.80 2R8-200 318 N/A 158 N/A 3.31 N/A 22.500 5.625

225x750 4x3T12 1357 0.80 2R8-150 318 N/A 184 N/A 3.31 N/A 22.500 5.625

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42

225x750 4x3T12 1357 0.80 2R8-100 318 N/A 236 N/A 3.31 N/A 22.500 5.625

225x900 3T12 339 0.17 2R8-200 121 121 159 159 0.73 0.73 22.500 5.625

225x900 3T12 339 0.17 2R8-150 121 121 193 193 0.73 0.73 22.500 5.625

225x900 3T12 339 0.17 2R8-100 121 121 262 262 0.73 0.73 22.500 5.625

225x900 2x3T10 471 0.23 2R8-200 165 165 163 163 1.03 1.03 22.500 5.625

225x900 2x3T10 471 0.23 2R8-150 165 165 197 197 1.03 1.03 22.500 5.625

225x900 2x3T10 471 0.23 2R8-100 165 165 264 264 1.03 1.03 22.500 5.625

225x900 3T16 603 0.30 2R8-200 212 212 171 171 1.28 1.28 22.500 5.625

225x900 3T16 603 0.30 2R8-150 212 212 205 205 1.28 1.28 22.500 5.625

225x900 3T16 603 0.30 2R8-100 212 212 273 273 1.28 1.28 22.500 5.625

225x900 2x3T12 679 0.34 2R8-200 232 232 171 171 1.46 1.46 22.500 5.625

225x900 2x3T12 679 0.34 2R8-150 232 232 204 204 1.46 1.46 22.500 5.625

225x900 2x3T12 679 0.34 2R8-100 232 232 271 271 1.46 1.46 22.500 5.625

225x900 3x3T10 707 0.35 2R8-200 236 236 169 169 1.54 1.54 22.500 5.625

225x900 3x3T10 707 0.35 2R8-150 236 236 202 202 1.54 1.54 22.500 5.625

225x900 3x3T10 707 0.35 2R8-100 236 236 268 268 1.54 1.54 22.500 5.625

225x900 4x3T10 942 0.47 2R8-200 299 299 174 174 2.04 2.04 22.500 5.625

225x900 4x3T10 942 0.47 2R8-150 299 299 206 206 2.04 2.04 22.500 5.625

225x900 4x3T10 942 0.47 2R8-100 299 299 270 270 2.04 2.04 22.500 5.625

225x900 3x3T12 1018 0.50 2R8-200 327 327 178 178 2.15 2.15 22.500 5.625

225x900 3x3T12 1018 0.50 2R8-150 327 327 211 211 2.15 2.15 22.500 5.625

225x900 3x3T12 1018 0.50 2R8-100 327 327 276 276 2.15 2.15 22.500 5.625

225x900 2x3T16 1206 0.60 2R8-200 386 386 185 185 2.45 2.45 22.500 5.625

225x900 2x3T16 1206 0.60 2R8-150 386 386 218 218 2.45 2.45 22.500 5.625

225x900 2x3T16 1206 0.60 2R8-100 386 386 285 285 2.45 2.45 22.500 5.625

225x900 4x3T12 1357 0.67 2R8-200 407 407 183 183 2.80 2.80 22.500 5.625

225x900 4x3T12 1357 0.67 2R8-150 407 407 215 215 2.80 2.80 22.500 5.625

225x900 4x3T12 1357 0.67 2R8-100 407 407 279 279 2.80 2.80 22.500 5.625

225x900 3x3T16 1810 0.89 2R8-200 521 N/A 194 N/A 3.48 N/A 22.500 5.625

225x900 3x3T16 1810 0.89 2R8-150 521 N/A 227 N/A 3.48 N/A 22.500 5.625

225x900 3x3T16 1810 0.89 2R8-100 521 N/A 291 N/A 3.48 N/A 22.500 5.625

# Note for cantilever spans, catering for the likelihood of unrestrained compression flange (at the supports), the spans L have been limited to the

lateral torsional buckling slenderness limits of cl.3.4.1.6 BS8110 of MIN (25b, 100b2/d). # Note for simply supported and continuous spans, catering for the likelihood of unrestrained compression flange (at the supports), the (equivalent

hogging) span have been limited to the lateral torsional buckling slenderness limits of cl.3.4.1.6 BS8110 of MIN (60b, 250b2/d). The equivalent

hogging span has been taken as 0.6L as the assumed distance between points of contraflexure. @ Note an additional 10mm notional cover has been added to the 25mm cover in recognition of the fact that there would be transverse slab

reinforcement that runs over the beam hogging reinforcement. ^ Note all beams assumed to have closed shear link loops throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

43

9.0 STANDARD RC COLUMN AND RC WALL DESIGNS

Column flexural buckling effective lengths are based on braced condition 2 such that effective length, le = 0.85l0,

where l0 is the clear floor height, which conservatively and for simplicity may be taken as the floor to floor height

a.k.a. storey height.

The following slenderness limits are adopted.

Criteria Limit BS8110 Clause

Braced short (stocky) Le/b 15 3.8.1.3

Braced slender L0/b 60 3.8.1.7

Braced slender Le/b 40 3.9.3.7.2

Column moments are based upon the greater of the column imperfection moments and the column

slenderness moments to cl.3.8.3.2 BS8110. Column primary action moments from subframe analyses are NOT

defined nor incorporated.

Column imperfection moments are based upon the following imperfection eccentricity equations.

major axis eccentric (nominal) moment, Meh = N x MIN (0.05h, 20mm)

minor axis eccentric (nominal) moment, Meb = N x MIN (0.05b, 20mm)

where N is the ULS axial load and b, h the column smaller and larger dimensions.

Moments due to slenderness are calculated from the following equations.

The equivalent single axis moment from the biaxial moments are thus calculated from the following equations.

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44

The column interaction diagram equations are thus presented.

Steel strain, s = -0.0035 (h' or b' - x)/x

Steel strain, sc = 0.0035 (x-hc')/x

Steel design yield strength = 460/1.05 (G460) or 250/1.05 (G250)

Steel elastic modulus, Es

Steel stress, fs = Es.s (< design yield strength)

Steel stress, fsc = Es.sc (< design yield strength) - 0.45fcu

Concrete strain, 0

Factor, k1

Factor, k2

As = [N-k1.(b or h).x] / (fsc+fs)

As = [M-k1.(b or h).x.(0.5(h or b)-k2.x)] / [(fsc-fs).((h' or b')-0.5(h or b))]

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Column load estimation should be based upon loading tributary areas with the addition of internal elastic reaction

factors, KINT (which vary between 1.10 and 1.25) for columns beneath continuous beams.

Note the ULS column load, FULS (kN) is estimated as follows:-

FULS = [number of storeys] . KINT .

[(1.4DL+1.4SDL+1.6LL) . (loading tributary area) + 1.4pbrick . (clear floor height) . (loading tributary length)]

where pbrick is the on elevation brickwork loading, as previously defined.

Clear

Height,

lo (mm)

# Column / Wall Size (mm) and Reinforcement for ULS Axial Load (kN)

0 ~

100

101 ~

150

151 ~

200

201 ~

250

251 ~

300

301 ~

350

351 ~

400

401 ~

450

451 ~

500

3000 125*225 125*225 125*225 125*225 125*225 125*225 125*300 125*300 125*300

4T12 4T12 4T12 4T12 4T12 4T12 6T12 6T12 6T12

3200

125*225 125*225 125*225 125*225 125*225 125*300 125*300 125*300 125*300

(6T16)

4T12 4T12 4T12 4T12 4T12 6T12 6T12 6T12 125*450

(8T12)

3400

125*225 125*225 125*225 125*300 125*300 125*300 125*300

(6T16)

125*300

(6T16)

125*300

(6T16)

4T12 4T12 4T12 6T12 6T12 6T12 125*450

(8T12)

125*450

(8T12)

125*450

(8T12)

3600

125*225 125*225 125*300 125*300 125*300 125*300

(6T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

4T12 4T12 6T12 6T12 6T12 125*450

(8T12)

125*450

(8T12)

125*550

(10T12)

125*550

(10T12)

3800

125*225 125*225 125*300 125*300 125*300

(6T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*550

(8T16)

4T12 4T12 6T12 6T12 125*450

(8T12)

125*450

(8T12)

125*550

(10T12)

125*550

(10T12)

125*550

(12T12)

# Note all columns / walls assumed to have closed shear link loops of 2R6-125 throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

# The designs presented herein adopt economic concrete reinforcement ranges from 1.0% to 3.5% steel.

Clear

Height,

lo (mm)

# Column / Wall Size (mm) and Reinforcement for ULS Axial Load (kN)

501 ~

550

551 ~

600

601 ~

650

651 ~

700

701 ~

750

751 ~

800

801 ~

850

851 ~

900

901 ~

950

951 ~

1000

3000

125*300

(6T16)

125*300

(6T16)

125*300

(6T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*550

(8T16)

125*550

(8T16)

125*450

(8T12)

125*450

(8T12)

125*450

(8T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(12T12)

125*550

(12T12)

3200

125*300

(6T16)

125*300

(6T16)

125*300

(6T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*550

(8T16)

125*550

(10T16)

125*450

(8T12)

125*450

(8T12)

125*450

(8T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(12T12)

125*550

(14T12)

3400

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*450

(8T16)

125*550

(8T16)

125*550

(10T16)

125*550

(10T16)

125*550

(10T16) 125*550 125*550

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(10T12)

125*550

(12T12)

125*550

(14T12)

125*550

(14T12)

125*550

(14T12) 12T16 12T16

3600

125*550

(8T16)

125*550

(8T16)

125*550

(10T16) 125*550 125*550 125*550 125*650 125*650 125*800 125*800

125*550

(12T12)

125*550

(12T12)

125*550

(14T12) 12T16 12T16 12T16 12T16 14T16 14T16 14T16

3800

125*550

(10T16) 125*550 125*550 125*650 125*650 125*650 125*800 125*800 125*950 125*950

125*550

(14T12) 12T16 12T16 12T16 14T16 14T16 14T16 16T16 16T16 16T16

# Note all columns / walls assumed to have closed shear link loops of 2R6-125 throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

# The designs presented herein adopt economic concrete reinforcement ranges from 1.0% to 3.5% steel.

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Clear

Height,

lo (mm)

# Column / Wall Size (mm) and Reinforcement for ULS Axial Load (kN)

0 ~

700

701 ~

750

751 ~

800

801 ~

950

951 ~

1050

1051 ~

1150

1151 ~

1200

1201 ~

1350

1351 ~

1450

1451 ~

1500

3000

225*300

(4T12)

225*300

(6T12)

225*300

(4T16)

225*300

(6T16)

225*450

(6T12)

225*450

(8T12)

225*450

(6T16)

225*450

(8T16)

225*600

(8T12)

225*600

(10T12)

2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125

3200

225*300

(4T12)

225*300

(6T12)

225*300

(4T16)

225*300

(6T16)

225*450

(6T12)

225*450

(8T12)

225*450

(6T16)

225*450

(8T16)

225*600

(8T12)

225*600

(10T12)

2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125

3400

225*300

(4T12)

225*300

(6T12)

225*300

(4T16)

225*300

(6T16)

225*450

(6T12)

225*450

(8T12)

225*450

(6T16)

225*450

(8T16)

225*600

(8T12)

225*600

(10T12)

2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125

3600

225*300

(4T12)

225*300

(6T12)

225*300

(4T16)

225*300

(6T16)

225*450

(6T12)

225*450

(8T12)

225*450

(6T16)

225*450

(8T16)

225*600

(8T12)

225*600

(10T12)

2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125

3800

225*300

(4T12)

225*300

(6T12)

225*300

(4T16)

225*300

(6T16)

225*450

(6T12)

225*450

(8T12)

225*450

(6T16)

225*450

(8T16)

225*600

(8T12)

225*600

(10T12)

2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125 2R6-175 2R6-175 2R6-125 2R6-125

Clear

Height,

lo (mm)

# Column / Wall Size (mm) and Reinforcement for ULS Axial Load (kN)

1501 ~

1650

1651 ~

1750

1751 ~

1900

1901 ~

2050

2051 ~

2150

2151 ~

2300

2301 ~

2350

2351 ~

2450

2451 ~

2600

2601 ~

2700

3000

225*600

(8T16)

225*600

(10T16)

225*600

(12T16)

225*750

(10T16)

225*750

(12T16)

225*750

(14T16)

225*900

(10T16)

225*900

(12T16)

225*900

(14T16)

225*900

(16T16)

2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175

3200

225*600

(8T16)

225*600

(10T16)

225*600

(12T16)

225*750

(10T16)

225*750

(12T16)

225*750

(14T16)

225*900

(10T16)

225*900

(12T16)

225*900

(14T16)

225*900

(16T16)

2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175

3400

225*600

(8T16)

225*600

(10T16)

225*600

(12T16)

225*750

(10T16)

225*750

(12T16)

225*750

(14T16)

225*900

(10T16)

225*900

(12T16)

225*900

(14T16)

225*900

(16T16)

2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175

3600

225*600

(8T16)

225*600

(10T16)

225*600

(12T16)

225*750

(10T16)

225*750

(12T16)

225*750

(14T16)

225*900

(10T16)

225*900

(12T16)

225*900

(14T16)

225*900

(16T16)

2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175

3800

225*600

(8T16)

225*600

(10T16)

225*600

(12T16)

225*750

(10T16)

225*750

(12T16)

225*750

(14T16)

225*900

(10T16)

225*900

(12T16)

225*900

(14T16)

225*900

(16T16)

2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175 2R6-175

# Note all columns / walls assumed to have closed shear link loops throughout. The prefix 2 indicates 2 legs, i.e. a full loop.

Column

Shape

# Column

Size (mm)

Reinforcement ULS Axial Load (kN) for Clear Height, lo (mm)

Number & Size % Steel 3000 3200 3400 3600 3800

Square 150 x 150 4T12 & R6-140 2.01 365 365 365 340 250

Square

175 x 175 4T12 & R6-140 1.48 445 445 445 445 445

4T16 & R6-175 2.63 565 565 565 565 565

Square

200x200

4T12 & R6-140 1.13 535 535 535 535 535

4T16 & R6-190 2.01 660 660 660 660 660

4T20 & R6-200 3.14 810 810 810 810 810

Square

225x225

4T12 & R6-140 0.89 640 640 640 640 640

4T16 & R6-190 1.59 765 765 765 765 765

4T20 & R6-225 2.48 920 920 920 920 920

4T25 & R8-225 3.88 1155 1155 1155 1155 1155

Square

250x250

4T12 & R6-140 0.72 755 755 755 755 755

4T16 & R6-190 1.29 885 885 885 885 885

4T20 & R6-240 2.01 1040 1040 1040 1040 1040

4T25 & R8-250 3.14 1280 1280 1280 1280 1280

# Column size should be chosen to accommodate the requirements of beam to column connections.

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

47

10.0 STANDARD PLAIN WALL DESIGNS

Note plain walls refer to unreinforced concrete walls.

Plain wall flexural buckling effective lengths are based on le = 0.75l0 to cl.3.9.4.3 where l0 is the clear floor height,

which conservatively and for simplicity may be taken as the floor to floor height a.k.a. storey height.

The plain wall is assumed to be braced.

The following slenderness limits are adopted.

Criteria Limit BS8110 Clause

Braced short (stocky) Le/b 15 3.8.1.3

Braced slender Le/b 30 3.9.4.4

The capacities of the short (stocky) braced plain walls are based upon the following equations.

The capacities of the slender braced plain walls are based upon the following equations.

Note by definition, wall lengths are required to be ≥ 4 x thicknesses.

Clear Height,

lo (mm)

ULS Capacities (kN/m) for Plain Wall Thickness (mm)

100mm 115mm 125mm 135mm 150mm

3000 400kN/m 545kN/m 635kN/m 725kN/m 1010kN/m

3200 355kN/m 510kN/m 600kN/m 695kN/m 825kN/m

3400 310kN/m 470kN/m 565kN/m 660kN/m 795kN/m

3600 265kN/m 430kN/m 530kN/m 625kN/m 765kN/m

3800 215kN/m 385kN/m 490kN/m 590kN/m 730kN/m

Note minimum reinforcement of 0.25% (grade 460) in each direction to control crack widths are to be provided

to cl.3.9.4.19 BS8110. Note additional reinforcement will be required for precast panels in tilt-up construction.

Minimum Reinforcement for Plain Wall Thickness (mm)

100mm 115mm 125mm 135mm 150mm

BRC MESH A8 (1 layer)

A6 (2 layers)

A9 (1 layer)

A7 (2 layers)

A9 (1 layer)

A7 (2 layers)

A10 (1 layer)

A7 (2 layers)

A10 (1 layer)

A7 (2 layers)

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Standard Structural Designs for Low-Rise Residential Buildings in Reinforced Concrete Construction

48

11.0 STANDARD RC STAIRCASE DESIGNS

The staircase structure explored herein spans longitudinally simply supported. The following constants and

relationships are adopted:-

Riser, r = 175mm

Going, g = 255mm

Stair rise, H = Number of risers, Nriser . r

Number of goings, Ngoing = Nriser + number of offset goings, Noff

Stair span, L = Ngoing.g

Slope length of stair, q = √(L2+H2)

Breadth of supporting member at one end, lb,1 = 0.300m or 1.175m

Breadth of supporting member at the other end, lb,2 = 0.300m or 1.175m

Stair effective span, Leff = L+0.5(MIN(lb1,1.8m)+MIN(lb2,1.8m)) = L + 0.300m or 1.175m

Loading (on slope) on stairs are as follows:-

Dead load, DL = (24kN/m3 . waist thickness, h) + (24kN/m3 . g.(H/2)/q)

Live load (on tread), LL = 3.00kPa

Superimposed dead load (on tread and riser), SDL = 1.20kPa

Effects are calculated from the following equations.

ULS uniformly distributed loading (UDL), = 1.4(DL + SDL.(L+H)/q) + 1.6(LL.L/q)

Msag = 0.125.q.Leff

Mhog = 0.0625.q.Leff

V = 0.5.Leff

A = ±0.5.H

Moment design is based on the following equations.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Deflection design is based on the following equations.

Basic span / effective depth ratio for rectangular simply supported section of 20.0 adopted.

Deflection modification factor due to compression reinforcement not incorporated. A further modification factor for

tension of 1.15 adopted if stair span, L occupies at least 60% of stair effective span, Leff.

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49

Stair Effective

Span, Leff (m)

and

Leff / h Ratio

Stair

Span,

L (m)

# Stair

Rise,

H (m)

Riser and Going

Waist

Thickness,

h (mm)

ULS Effects Reinforcement

ULS UDL on

Supporting

Beam (kN/m) # Nriser Ngoing

Sagging

Moment

(kNm/m)

Hogging

Moment

(kNm/m)

Shear

Force

(kN/m)

Sagging Hogging

1.830 15.9 1.530 1.050 6 6 115 5.3 2.7 11.5 T7-200 T7-200 11.5

2.085 18.1 1.785 1.225 7 7 115 7.1 3.5 13.1 T8-200 T7-200 13.1

2.340 20.3 2.040 1.400 8 8 115 9.1 4.6 14.7 T9-200 T7-200 14.7

2.595 22.6 2.295 1.575 9 9 115 11.4 5.7 16.3 T12-200 T7-200 16.3

2.850 24.8 2.550 1.750 10 10 115 13.9 6.9 17.9 T12-100 T8-200 17.9

2.085 16.7 1.785 1.225 7 7 125 7.3 3.6 13.5 T7-200 T7-200 13.5

2.340 18.7 2.040 1.400 8 8 125 9.3 4.7 15.1 T8-200 T7-200 15.1

2.595 20.8 2.295 1.575 9 9 125 11.7 5.8 16.8 T9-200 T7-200 16.8

2.850 22.8 2.550 1.750 10 10 125 14.2 7.1 18.4 T12-200 T7-200 18.4

3.105 24.8 2.805 1.925 11 11 125 17.1 8.5 20.1 T12-100 T8-200 20.1

2.595 17.3 2.295 1.575 9 9 150 12.4 6.2 17.9 T8-200 T8-200 17.9

2.850 19.0 2.550 1.750 10 10 150 15.2 7.6 19.6 T9-200 T8-200 19.6

3.105 20.7 2.805 1.925 11 11 150 18.2 9.1 21.4 T10-200 T8-200 21.4

3.360 22.4 3.060 2.100 12 12 150 21.4 10.7 23.1 T12-200 T8-200 23.1

3.615 24.1 3.315 2.275 13 13 150 25.0 12.5 24.9 T12-150 T8-200 24.9

3.870 25.8 3.570 2.450 14 14 150 28.8 14.4 26.6 T12-100

T16-150 T9-200 26.6

2.595 14.8 2.295 1.575 9 9 175 13.2 6.6 18.9 T8-200 T8-200 18.9

2.850 16.3 2.550 1.750 10 10 175 16.1 8.0 20.8 T9-200 T8-200 20.8

3.105 17.7 2.805 1.925 11 11 175 19.3 9.6 22.7 T10-200 T8-200 22.7

3.360 19.2 3.060 2.100 12 12 175 22.8 11.4 24.5 T10-200 T8-200 24.5

3.615 20.7 3.315 2.275 13 13 175 26.5 13.3 26.4 T12-200 T8-200 26.4

3.870 22.1 3.570 2.450 14 14 175 30.6 15.3 28.2 T12-200 T9-200 28.2

4.125 23.6 3.825 2.625 15 15 175 34.9 17.5 30.1 T12-150 T9-200 30.1

4.380 25.0 4.080 2.800 16 16 175 39.5 19.8 32.0 T12-100

T16-150 T10-200 32.0

4.635 26.5 4.335 2.975 17 17 175 44.5 22.2 33.8 T16-100 T10-200 33.8

3.105 15.5 2.805 1.925 11 11 200 20.4 10.2 24.0 T9-200 T9-200 24.0

3.360 16.8 3.060 2.100 12 12 200 24.1 12.0 25.9 T10-200 T9-200 25.9

3.615 18.1 3.315 2.275 13 13 200 28.0 14.0 27.9 T12-200 T9-200 27.9

3.870 19.4 3.570 2.450 14 14 200 32.3 16.2 29.9 T12-200 T9-200 29.9

4.125 20.6 3.825 2.625 15 15 200 36.9 18.5 31.8 T12-200 T9-200 31.8

4.380 21.9 4.080 2.800 16 16 200 41.8 20.9 33.8 T12-150 T9-200 33.8

4.635 23.2 4.335 2.975 17 17 200 47.0 23.5 35.8 T16-200

T12-100 T10-200 35.8

4.890 24.5 4.590 3.150 18 18 200 52.5 26.3 37.7 T12-100

T16-150 T10-200 37.7

5.145 25.7 4.845 3.325 19 19 200 58.3 29.2 39.7 T16-100 T12-200 39.7

L

Hr

g

h

Leff

lb,1=0.300m

lb,2=0.300m

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50

Stair Effective

Span, Leff (m)

and

Leff / h Ratio

Stair

Span,

L (m)

# Stair

Rise,

H (m)

Riser and Going

Waist

Thickness,

h (mm)

ULS Effects Reinforcement

ULS UDL on

Supporting

Beam (kN/m) # Nriser Ngoing

Sagging

Moment

(kNm/m)

Hogging

Moment

(kNm/m)

Shear

Force

(kN/m)

Sagging Hogging

2.450 21.3 1.275 0.875 5 5 115 6.0 3.0 15.4 T7-200 T7-200 15.4

2.705 23.5 1.530 1.050 6 6 115 7.9 3.9 17.0 T9-200 T7-200 17.0

2.960 25.7 1.785 1.225 7 7 115 10.1 5.0 18.6 T12-200 T7-200 18.6

3.215 28.0 2.040 1.400 8 8 115 12.5 6.3 20.2 T12-100 T7-200 20.2

2.450 19.6 1.275 0.875 5 5 125 6.1 3.1 15.8 T7-200 T7-200 15.8

2.705 21.6 1.530 1.050 6 6 125 8.1 4.1 17.5 T8-200 T7-200 17.5

2.960 23.7 1.785 1.225 7 7 125 10.3 5.2 19.1 T9-200 T7-200 19.1

3.215 25.7 2.040 1.400 8 8 125 12.8 6.4 20.8 T12-200 T7-200 20.8

3.470 27.8 2.295 1.575 9 9 125 15.6 7.8 22.4 T12-100 T8-200 22.4

2.960 19.7 1.785 1.225 7 7 150 11.0 5.5 20.4 T8-200 T8-200 20.4

3.215 21.4 2.040 1.400 8 8 150 13.7 6.8 22.1 T9-200 T8-200 22.1

3.470 23.1 2.295 1.575 9 9 150 16.6 8.3 23.9 T10-200 T8-200 23.9

3.725 24.8 2.550 1.750 10 10 150 19.8 9.9 25.6 T12-200 T8-200 25.6

3.980 26.5 2.805 1.925 11 11 150 23.3 11.6 27.4 T12-150 T8-200 27.4

4.235 28.2 3.060 2.100 12 12 150 27.0 13.5 29.1 T16-100 T9-200 29.1

3.215 18.4 2.040 1.400 8 8 175 14.5 7.3 23.5 T8-200 T8-200 23.5

3.470 19.8 2.295 1.575 9 9 175 17.6 8.8 25.3 T9-200 T8-200 25.3

3.725 21.3 2.550 1.750 10 10 175 21.0 10.5 27.2 T10-200 T8-200 27.2

3.980 22.7 2.805 1.925 11 11 175 24.7 12.4 29.0 T12-200 T8-200 29.0

4.235 24.2 3.060 2.100 12 12 175 28.7 14.3 30.9 T12-200 T8-200 30.9

4.490 25.7 3.315 2.275 13 13 175 32.9 16.5 32.8 T12-150 T9-200 32.8

4.745 27.1 3.570 2.450 14 14 175 37.5 18.7 34.6 T12-100

T16-150 T9-200 34.6

5.000 28.6 3.825 2.625 15 15 175 42.3 21.2 36.5 T16-100 T10-200 36.5

3.725 18.6 2.550 1.750 10 10 200 22.2 11.1 28.8 T9-200 T9-200 28.8

3.980 19.9 2.805 1.925 11 11 200 26.1 13.1 30.7 T10-200 T9-200 30.7

4.235 21.2 3.060 2.100 12 12 200 30.3 15.2 32.7 T12-200 T9-200 32.7

4.490 22.5 3.315 2.275 13 13 200 34.8 17.4 34.7 T12-200 T9-200 34.7

4.745 23.7 3.570 2.450 14 14 200 39.6 19.8 36.6 T12-150 T9-200 36.6

5.000 25.0 3.825 2.625 15 15 200 44.8 22.4 38.6 T16-200

T12-100 T9-200 38.6

5.255 26.3 4.080 2.800 16 16 200 50.2 25.1 40.6 T12-100

T16-150 T10-200 40.6

5.510 27.6 4.335 2.975 17 17 200 55.9 28.0 42.5 T16-100 T12-200 42.5

# Note the number of risers, Nriser may be reduced by 1 or 2 with the addition of 1 or 2 offset goings respectively, thus reducing the stair rise, H by

(1 or 2).r.

L

Hr

g

h

Leff

lb,1=1.175m

lb,2=1.175m

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51

12.0 STANDARD BASEMENT (PROPPED) RC RETAINING WALL DESIGNS

The following soil properties are adopted:-

Dry bulk unit weight, dry = 18.0kN/m3

Saturated bulk unit weight, sat = 22.5kN/m3

The following constants and relationships are adopted:-

Surcharge at surface (on active pressure side only), psurface = 10.0kPa (cl.3.3.4.1 BS8002)

Depth of retained soil (active earth pressure), da Angle of retaining face from horizontal, = 90 Angle of exposed face from horizontal, = 90 Bulk unit weight, = dry or sat

Two analysis methods are performed, namely drained analysis for cohesionless soils and undrained analysis

for cohesive soils.

The drained analysis method employing the Coulomb theory is described as follows:-

Effective cohesion, c' = 0.0kPa

Effective angle of shear resistance, '

Effective angle of friction on wall, ' = 0.0

Angle of soil slope from horizontal,

Vertical total stress, va = psurface to va = psurface + .da

Hydrostatic pressure, ua = 0.0 dry or 0.0 to 0.0 + w.da for saturated

Vertical effective stress, va' = va - ua

Coulomb active earth pressure coefficient, Ka

2

2

2

a

)sin()'sin(

)'sin()''sin(1)'sin(sin

)'(sinK

Active effective pressure, ha' = Ka.va' 2c'√Ka

Active force, Fa' = 0.5 . (ha,surface'+ha,base') . da

Horizontal component of Fa', Fah' = Fa' . cos(90-+)

Vertical (downward) component of Fa', Fav' = Fa' . sin(90°-+)

Centroid of Fa', ea = da . (2ha,surface'+ha,base') / [3.(ha,surface'+ha,base')]

Hydrostatic force, Fua = 0.5 . (ua,surface+ua,base) . da

Horizontal component of Fua, Fuah = Fua . sin

Vertical (downward) component of Fua, Fuav = Fua . cos

Centroid of Fua, eua = da . (2ua,surface+ua,base) / [3.(ua,surface+ua,base)]

The undrained analysis method is described as follows:-

Vertical total stress, va = psurface to va = psurface + .da

Active pressure, ha = MAX (4.8da, va 2Su)

Active force, Fa = 0.5 . (ha,surface+ha,base) . da

Horizontal component of Fa, Fah = Fa . sin

Vertical (downward) component of Fa, Fav = Fa . cos

Centroid of Fa, ea = da . (2ha,surface+ha,base) / [3.(ha,surface+ha,base)]

Moment and shear analyses are based on the following equations described for undrained and drained analysis

methods respectively. Note the adopted loading factor, K = 1.20.

M = [K.ha,surface.sin(K.ha,surface'.cos(90°-+))].0.125.da2

+0.5.[K.ha,base.sin(K.ha,base'.cos(90°-+))-K.ha,surface.sin(K.ha,surface'.cos(90°-+))].0.128.da2

+[0(K.ua,surface.sin)].0.125.da2+0.5.[0(K.ua,base.sin)-0(K.ua,surface.sin)].0.128.da

2;

Vult and V = [K.ha,surface.sin(K.ha,surface'.cos(90°-+))].da/2

+0.5.[K.ha,base.sin(K.ha,base'.cos(90°-+))-K.ha,surface.sin(K.ha,surface'.cos(90°-+))].2.da/3

+[0(K.ua,surface.sin)].da/2+0.5.[0(K.ua,base.sin)-0(K.ua,surface.sin)].2.da/3;

Note that the physical thickness of the props (at the top and at the base) has not been considered in effectively

reducing the effective span of the simply supported retaining wall, instead the full defined depth dimension, da is

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52

adopted as the effective span.

Moment design is based on the following equations.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Deflection design is based on the following equations.

Basic span / effective depth ratio for rectangular simply supported section of 20.0 adopted.

Deflection modification factor due to compression reinforcement not incorporated.

Note covers as follows:-

wall (internal face) 25mm

wall (earth face) 50mm

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53

Bwidthda

K.Fprop

K.Fbase

Stem reinforcement

Drained Analysis (Cohesionless Soils)

Angle

' ()

Angle

()

Water

Table

Location

da (m)

Wall

Thickness,

Bwidth (mm)

# da /

Bwidth

@ Earth

Force,

Fah’

(kN/m)

@ Water

Force,

Fuah

(kN/m)

ULS Effects

Stem

Reinforcement

Prop

Force

K.Fprop

(kN/m)

Bending Moment * Shear

Force,

V (kN/m) M (kNm/m) M/1000.d

2

(N/mm2)

27.5 0.0 At Base 2.000 125 16.0 20.6 0.0 6.3 0.67 15.0 T7-200 9.7

27.5 0.0 At Base 2.000 150 13.3 20.6 0.0 6.3 0.43 15.0 T8-200 9.7

27.5 0.0 At Base 2.500 125 20.0 29.9 0.0 11.4 1.25 22.1 T9-200 13.8

27.5 0.0 At Base 2.500 150 16.7 29.9 0.0 11.4 0.78 22.1 T8-200 13.8

27.5 0.0 At Base 3.000 150 20.0 40.9 0.0 18.7 1.32 30.5 T12-250 18.6

27.5 0.0 At Base 3.000 175 17.1 40.9 0.0 18.7 0.88 30.5 T9-200 18.6

27.5 0.0 At Base 3.500 150 23.3 53.5 0.0 28.6 2.09 40.2 T16-100 24.0

27.5 0.0 At Base 3.500 175 20.0 53.5 0.0 28.6 1.38 40.2 T12-200 24.0

27.5 0.0 At Base 3.500 200 17.5 53.5 0.0 28.6 1.00 40.2 T12-250 24.0

27.5 0.0 At Base 3.500 225 15.6 53.5 0.0 28.6 0.75 40.2 T10-200 24.0

27.5 0.0 At Base 4.000 175 22.9 67.8 0.0 41.4 2.05 51.3 T16-150 30.0

27.5 0.0 At Base 4.000 200 20.0 67.8 0.0 41.4 1.45 51.3 T12-150 30.0

27.5 0.0 At Base 4.000 225 17.8 67.8 0.0 41.4 1.10 51.3 T12-200 30.0

27.5 0.0 At Base 4.000 275 14.5 67.8 0.0 41.4 0.70 51.3 T12-250 30.0

27.5 0.0 At Base 4.000 300 13.3 67.8 0.0 41.4 0.57 51.3 T10-200 30.0

27.5 0.0 At Surface 2.000 125 16.0 16.7 19.6 11.1 1.22 27.6 T9-200 16.0

27.5 0.0 At Surface 2.000 150 13.3 16.7 19.6 11.1 0.76 27.6 T8-200 16.0

27.5 0.0 At Surface 2.500 125 20.0 23.8 30.7 20.8 2.36 41.7 T12-100 23.6

27.5 0.0 At Surface 2.500 150 16.7 23.8 30.7 20.8 1.47 41.7 T12-250 23.6

27.5 0.0 At Surface 2.500 175 14.3 23.8 30.7 20.8 0.99 41.7 T10-200 23.6

27.5 0.0 At Surface 2.500 200 12.5 23.8 30.7 20.8 0.72 41.7 T9-200 23.6

27.5 0.0 At Surface 3.000 150 20.0 32.1 44.1 35.0 2.56 58.8 T16-100 32.7

27.5 0.0 At Surface 3.000 175 17.1 32.1 44.1 35.0 1.69 58.8 T12-150 32.7

27.5 0.0 At Surface 3.000 200 15.0 32.1 44.1 35.0 1.23 58.8 T12-200 32.7

27.5 0.0 At Surface 3.000 225 13.3 32.1 44.1 35.0 0.93 58.8 T12-250 32.7

27.5 0.0 At Surface 3.000 250 12.0 32.1 44.1 35.0 0.72 58.8 T10-200 32.7

27.5 0.0 At Surface 3.500 175 20.0 41.5 60.1 54.5 2.70 78.7 T16-100 43.2

27.5 0.0 At Surface 3.500 200 17.5 41.5 60.1 54.5 1.95 78.7 T16-200 43.2

27.5 0.0 At Surface 3.500 225 15.6 41.5 60.1 54.5 1.45 78.7 T12-150 43.2

27.5 0.0 At Surface 3.500 275 12.7 41.5 60.1 54.5 0.91 78.7 T12-200 43.2

27.5 0.0 At Surface 4.000 200 20.0 52.1 78.5 80.0 2.94 101.5 T20-100 55.2

27.5 0.0 At Surface 4.000 225 17.8 52.1 78.5 80.0 2.13 101.5 T12-100 55.2

27.5 0.0 At Surface 4.000 250 16.0 52.1 78.5 80.0 1.70 101.5 T16-200 55.2

27.5 0.0 At Surface 4.000 300 13.3 52.1 78.5 80.0 1.11 101.5 T12-150 55.2

27.5 25.0 At Base 2.000 125 16.0 33.4 0.0 10.2 1.11 24.3 T9-200 15.7

27.5 25.0 At Base 2.000 150 13.3 33.4 0.0 10.2 0.69 24.3 T8-200 15.7

27.5 25.0 At Base 2.500 125 20.0 48.4 0.0 18.5 2.09 35.8 T12-100 22.3

27.5 25.0 At Base 2.500 150 16.7 48.4 0.0 18.5 1.28 35.8 T10-200 22.3

27.5 25.0 At Base 2.500 175 14.3 48.4 0.0 18.5 0.87 35.8 T9-200 22.3

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27.5 25.0 At Base 3.000 150 20.0 66.1 0.0 30.3 2.21 49.3 T16-200 30.0

27.5 25.0 At Base 3.000 175 17.1 66.1 0.0 30.3 1.46 49.3 T12-200 30.0

27.5 25.0 At Base 3.000 200 15.0 66.1 0.0 30.3 1.06 49.3 T12-250 30.0

27.5 25.0 At Base 3.000 225 13.3 66.1 0.0 30.3 0.80 49.3 T10-200 30.0

27.5 25.0 At Base 3.500 175 20.0 86.6 0.0 46.3 2.23 65.1 T12-100 38.8

27.5 25.0 At Base 3.500 200 17.5 86.6 0.0 46.3 1.62 65.1 T12-150 38.8

27.5 25.0 At Base 3.500 250 14.0 86.6 0.0 46.3 0.96 65.1 T12-200 38.8

27.5 25.0 At Base 3.500 300 11.7 86.6 0.0 46.3 0.64 65.1 T12-250 38.8

27.5 25.0 At Base 4.000 200 20.0 109.6 0.0 67.0 2.46 82.9 T20-200 48.6

27.5 25.0 At Base 4.000 225 17.8 109.6 0.0 67.0 1.82 82.9 T16-200 48.6

27.5 25.0 At Base 4.000 250 16.0 109.6 0.0 67.0 1.40 82.9 T12-150 48.6

27.5 25.0 At Surface 2.000 125 16.0 27.0 19.6 14.2 1.58 34.9 T10-200 21.0

27.5 25.0 At Surface 2.000 150 13.3 27.0 19.6 14.2 0.98 34.9 T9-200 21.0

27.5 25.0 At Surface 2.000 175 11.4 27.0 19.6 14.2 0.67 34.9 T8-200 21.0

27.5 25.0 At Surface 2.500 150 16.7 38.5 30.7 26.4 1.87 52.4 T12-200 30.7

27.5 25.0 At Surface 2.500 175 14.3 38.5 30.7 26.4 1.27 52.4 T12-250 30.7

27.5 25.0 At Surface 2.500 200 12.5 38.5 30.7 26.4 0.91 52.4 T10-200 30.7

27.5 25.0 At Surface 3.000 175 17.1 51.9 44.1 44.1 2.19 73.3 T16-200 42.0

27.5 25.0 At Surface 3.000 200 15.0 51.9 44.1 44.1 1.54 73.3 T12-150 42.0

27.5 25.0 At Surface 3.000 225 13.3 51.9 44.1 44.1 1.17 73.3 T12-200 42.0

27.5 25.0 At Surface 3.000 275 10.9 51.9 44.1 44.1 0.74 73.3 T12-250 42.0

27.5 25.0 At Surface 3.500 200 17.5 67.2 60.1 68.2 2.39 97.6 T12-100 55.1

27.5 25.0 At Surface 3.500 225 15.6 67.2 60.1 68.2 1.85 97.6 T16-200 55.1

27.5 25.0 At Surface 3.500 275 12.7 67.2 60.1 68.2 1.14 97.6 T12-150 55.1

27.5 25.0 At Surface 4.000 225 17.8 84.3 78.5 99.7 2.70 125.5 T16-100 69.9

27.5 25.0 At Surface 4.000 250 16.0 84.3 78.5 99.7 2.12 125.5 T16-150 69.9

27.5 25.0 At Surface 4.000 275 14.5 84.3 78.5 99.7 1.67 125.5 T12-100 69.9

27.5 25.0 At Surface 4.000 300 13.3 84.3 78.5 99.7 1.40 125.5 T16-200 69.9

30.0 0.0 At Base 2.000 125 16.0 18.7 0.0 5.7 0.61 13.6 T7-200 8.8

30.0 0.0 At Base 2.500 125 20.0 27.1 0.0 10.3 1.13 20.0 T9-200 12.5

30.0 0.0 At Base 2.500 150 16.7 27.1 0.0 10.3 0.71 20.0 T8-200 12.5

30.0 0.0 At Base 3.000 125 24.0 37.0 0.0 16.9 1.92 27.6 T12-100 16.8

30.0 0.0 At Base 3.000 150 20.0 37.0 0.0 16.9 1.18 27.6 T10-200 16.8

30.0 0.0 At Base 3.000 175 17.1 37.0 0.0 16.9 0.80 27.6 T9-200 16.8

30.0 0.0 At Base 3.500 150 23.3 48.4 0.0 25.9 1.83 36.4 T12-100 21.7

30.0 0.0 At Base 3.500 175 20.0 48.4 0.0 25.9 1.25 36.4 T12-250 21.7

30.0 0.0 At Base 3.500 200 17.5 48.4 0.0 25.9 0.90 36.4 T10-200 21.7

30.0 0.0 At Base 4.000 175 22.9 61.3 0.0 37.5 1.81 46.4 T12-100 27.2

30.0 0.0 At Base 4.000 200 20.0 61.3 0.0 37.5 1.31 46.4 T12-200 27.2

30.0 0.0 At Base 4.000 250 16.0 61.3 0.0 37.5 0.78 46.4 T12-250 27.2

30.0 0.0 At Base 4.000 275 14.5 61.3 0.0 37.5 0.62 46.4 T10-200 27.2

30.0 0.0 At Surface 2.000 125 16.0 15.1 19.6 10.6 1.17 26.5 T9-200 15.2

30.0 0.0 At Surface 2.000 150 13.3 15.1 19.6 10.6 0.73 26.5 T8-200 15.2

30.0 0.0 At Surface 2.500 125 20.0 21.6 30.7 20.0 2.26 40.1 T12-100 22.6

30.0 0.0 At Surface 2.500 150 16.7 21.6 30.7 20.0 1.41 40.1 T12-250 22.6

30.0 0.0 At Surface 2.500 175 14.3 21.6 30.7 20.0 0.95 40.1 T10-200 22.6

30.0 0.0 At Surface 2.500 200 12.5 21.6 30.7 20.0 0.69 40.1 T9-200 22.6

30.0 0.0 At Surface 3.000 150 20.0 29.0 44.1 33.6 2.37 56.5 T12-100 31.3

30.0 0.0 At Surface 3.000 175 17.1 29.0 44.1 33.6 1.62 56.5 T12-150 31.3

30.0 0.0 At Surface 3.000 200 15.0 29.0 44.1 33.6 1.18 56.5 T12-200 31.3

30.0 0.0 At Surface 3.000 225 13.3 29.0 44.1 33.6 0.89 56.5 T12-250 31.3

30.0 0.0 At Surface 3.000 250 12.0 29.0 44.1 33.6 0.69 56.5 T10-200 31.3

30.0 0.0 At Surface 3.500 175 20.0 37.6 60.1 52.4 2.60 75.8 T16-100 41.4

30.0 0.0 At Surface 3.500 200 17.5 37.6 60.1 52.4 1.88 75.8 T16-200 41.4

30.0 0.0 At Surface 3.500 225 15.6 37.6 60.1 52.4 1.39 75.8 T12-150 41.4

30.0 0.0 At Surface 3.500 275 12.7 37.6 60.1 52.4 0.88 75.8 T12-200 41.4

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30.0 0.0 At Surface 4.000 200 20.0 47.2 78.5 77.0 2.76 97.9 T16-100 52.9

30.0 0.0 At Surface 4.000 225 17.8 47.2 78.5 77.0 2.05 97.9 T12-100 52.9

30.0 0.0 At Surface 4.000 250 16.0 47.2 78.5 77.0 1.64 97.9 T16-200 52.9

30.0 0.0 At Surface 4.000 300 13.3 47.2 78.5 77.0 1.06 97.9 T12-150 52.9

30.0 25.0 At Base 2.000 125 16.0 28.3 0.0 8.6 0.93 20.6 T8-200 13.3

30.0 25.0 At Base 2.500 125 20.0 41.0 0.0 15.6 1.77 30.3 T12-200 18.9

30.0 25.0 At Base 2.500 150 16.7 41.0 0.0 15.6 1.08 30.3 T9-200 18.9

30.0 25.0 At Base 3.000 150 20.0 56.0 0.0 25.6 1.81 41.8 T12-150 25.4

30.0 25.0 At Base 3.000 175 17.1 56.0 0.0 25.6 1.24 41.8 T12-250 25.4

30.0 25.0 At Base 3.000 200 15.0 56.0 0.0 25.6 0.89 41.8 T10-200 25.4

30.0 25.0 At Base 3.000 225 13.3 56.0 0.0 25.6 0.67 41.8 T9-200 25.4

30.0 25.0 At Base 3.500 175 20.0 73.3 0.0 39.2 1.94 55.1 T16-200 32.8

30.0 25.0 At Base 3.500 200 17.5 73.3 0.0 39.2 1.37 55.1 T12-200 32.8

30.0 25.0 At Base 3.500 250 14.0 73.3 0.0 39.2 0.82 55.1 T12-250 32.8

30.0 25.0 At Base 3.500 275 12.7 73.3 0.0 39.2 0.65 55.1 T10-200 32.8

30.0 25.0 At Base 4.000 200 20.0 92.8 0.0 56.7 1.99 70.2 T12-100 41.2

30.0 25.0 At Base 4.000 225 17.8 92.8 0.0 56.7 1.51 70.2 T12-150 41.2

30.0 25.0 At Base 4.000 275 14.5 92.8 0.0 56.7 0.95 70.2 T12-200 41.2

30.0 25.0 At Surface 2.000 125 16.0 22.9 19.6 13.0 1.44 32.0 T10-200 19.0

30.0 25.0 At Surface 2.000 150 13.3 22.9 19.6 13.0 0.89 32.0 T9-200 19.0

30.0 25.0 At Surface 2.000 175 11.4 22.9 19.6 13.0 0.61 32.0 T8-200 19.0

30.0 25.0 At Surface 2.500 150 16.7 32.6 30.7 24.2 1.71 48.1 T12-200 27.8

30.0 25.0 At Surface 2.500 175 14.3 32.6 30.7 24.2 1.17 48.1 T12-250 27.8

30.0 25.0 At Surface 2.500 200 12.5 32.6 30.7 24.2 0.84 48.1 T10-200 27.8

30.0 25.0 At Surface 2.500 225 11.1 32.6 30.7 24.2 0.63 48.1 T9-200 27.8

30.0 25.0 At Surface 3.000 150 20.0 43.9 44.1 40.4 2.95 67.4 T16-100 38.3

30.0 25.0 At Surface 3.000 175 17.1 43.9 44.1 40.4 1.95 67.4 T12-150 38.3

30.0 25.0 At Surface 3.000 225 13.3 43.9 44.1 40.4 1.07 67.4 T12-200 38.3

30.0 25.0 At Surface 3.000 250 12.0 43.9 44.1 40.4 0.84 67.4 T12-250 38.3

30.0 25.0 At Surface 3.000 300 10.0 43.9 44.1 40.4 0.55 67.4 T10-200 38.3

30.0 25.0 At Surface 3.500 175 20.0 56.9 60.1 62.7 3.20 90.0 T20-100 50.3

30.0 25.0 At Surface 3.500 200 17.5 56.9 60.1 62.7 2.25 90.0 T16-200 50.3

30.0 25.0 At Surface 3.500 250 14.0 56.9 60.1 62.7 1.31 90.0 T12-150 50.3

30.0 25.0 At Surface 3.500 300 11.7 56.9 60.1 62.7 0.87 90.0 T12-200 50.3

30.0 25.0 At Surface 4.000 200 20.0 71.4 78.5 91.8 3.48 115.9 T25-100 64.0

30.0 25.0 At Surface 4.000 225 17.8 71.4 78.5 91.8 2.54 115.9 T20-200 64.0

30.0 25.0 At Surface 4.000 250 16.0 71.4 78.5 91.8 1.91 115.9 T12-100 64.0

30.0 25.0 At Surface 4.000 275 14.5 71.4 78.5 91.8 1.57 115.9 T16-200 64.0

32.5 0.0 At Base 2.000 125 16.0 16.9 0.0 5.1 0.55 12.3 T7-200 7.9

32.5 0.0 At Base 2.500 125 20.0 24.5 0.0 9.3 1.01 18.1 T8-200 11.3

32.5 0.0 At Base 3.000 125 24.0 33.4 0.0 15.3 1.73 24.9 T12-100 15.2

32.5 0.0 At Base 3.000 150 20.0 33.4 0.0 15.3 1.05 24.9 T9-200 15.2

32.5 0.0 At Base 3.500 150 23.3 43.7 0.0 23.4 1.71 32.9 T16-200 19.6

32.5 0.0 At Base 3.500 175 20.0 43.7 0.0 23.4 1.11 32.9 T10-200 19.6

32.5 0.0 At Base 3.500 225 15.6 43.7 0.0 23.4 0.61 32.9 T9-200 19.6

32.5 0.0 At Base 4.000 175 22.9 55.4 0.0 33.9 1.68 41.9 T16-200 24.6

32.5 0.0 At Base 4.000 200 20.0 55.4 0.0 33.9 1.19 41.9 T12-200 24.6

32.5 0.0 At Base 4.000 225 17.8 55.4 0.0 33.9 0.90 41.9 T12-250 24.6

32.5 0.0 At Base 4.000 250 16.0 55.4 0.0 33.9 0.70 41.9 T10-200 24.6

32.5 0.0 At Surface 2.000 125 16.0 13.7 19.6 10.2 1.12 25.4 T9-200 14.5

32.5 0.0 At Surface 2.000 150 13.3 13.7 19.6 10.2 0.70 25.4 T8-200 14.5

32.5 0.0 At Surface 2.500 125 20.0 19.5 30.7 19.2 2.17 38.6 T12-100 21.6

32.5 0.0 At Surface 2.500 150 16.7 19.5 30.7 19.2 1.33 38.6 T10-200 21.6

32.5 0.0 At Surface 2.500 175 14.3 19.5 30.7 19.2 0.91 38.6 T9-200 21.6

32.5 0.0 At Surface 3.000 150 20.0 26.2 44.1 32.3 2.28 54.5 T12-100 30.0

32.5 0.0 At Surface 3.000 175 17.1 26.2 44.1 32.3 1.56 54.5 T12-200 30.0

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32.5 0.0 At Surface 3.000 225 13.3 26.2 44.1 32.3 0.86 54.5 T12-250 30.0

32.5 0.0 At Surface 3.000 250 12.0 26.2 44.1 32.3 0.67 54.5 T10-200 30.0

32.5 0.0 At Surface 3.500 175 20.0 33.9 60.1 50.4 2.57 73.1 T20-200 39.7

32.5 0.0 At Surface 3.500 200 17.5 33.9 60.1 50.4 1.76 73.1 T12-150 39.7

32.5 0.0 At Surface 3.500 250 14.0 33.9 60.1 50.4 1.05 73.1 T12-200 39.7

32.5 0.0 At Surface 3.500 300 11.7 33.9 60.1 50.4 0.70 73.1 T12-250 39.7

32.5 0.0 At Surface 4.000 200 20.0 42.6 78.5 74.2 2.66 94.5 T16-100 50.8

32.5 0.0 At Surface 4.000 225 17.8 42.6 78.5 74.2 2.01 94.5 T16-200 50.8

32.5 0.0 At Surface 4.000 275 14.5 42.6 78.5 74.2 1.25 94.5 T12-150 50.8

32.5 25.0 At Base 2.000 125 16.0 24.4 0.0 7.4 0.80 17.8 T7-200 11.5

32.5 25.0 At Base 2.500 125 20.0 35.4 0.0 13.5 1.53 26.1 T12-250 16.3

32.5 25.0 At Base 2.500 150 16.7 35.4 0.0 13.5 0.93 26.1 T9-200 16.3

32.5 25.0 At Base 2.500 175 14.3 35.4 0.0 13.5 0.63 26.1 T8-200 16.3

32.5 25.0 At Base 3.000 150 20.0 48.3 0.0 22.1 1.56 36.1 T12-200 21.9

32.5 25.0 At Base 3.000 175 17.1 48.3 0.0 22.1 1.05 36.1 T10-200 21.9

32.5 25.0 At Base 3.000 200 15.0 48.3 0.0 22.1 0.76 36.1 T9-200 21.9

32.5 25.0 At Base 3.500 175 20.0 63.2 0.0 33.8 1.63 47.5 T12-150 28.3

32.5 25.0 At Base 3.500 200 17.5 63.2 0.0 33.8 1.18 47.5 T12-200 28.3

32.5 25.0 At Base 3.500 225 15.6 63.2 0.0 33.8 0.90 47.5 T12-250 28.3

32.5 25.0 At Base 3.500 250 14.0 63.2 0.0 33.8 0.70 47.5 T10-200 28.3

32.5 25.0 At Base 4.000 175 22.9 80.1 0.0 49.0 2.43 60.6 T16-100 35.5

32.5 25.0 At Base 4.000 200 20.0 80.1 0.0 49.0 1.76 60.6 T16-200 35.5

32.5 25.0 At Base 4.000 225 17.8 80.1 0.0 49.0 1.30 60.6 T12-150 35.5

32.5 25.0 At Base 4.000 250 16.0 80.1 0.0 49.0 1.02 60.6 T12-200 35.5

32.5 25.0 At Base 4.000 300 13.3 80.1 0.0 49.0 0.68 60.6 T12-250 35.5

32.5 25.0 At Surface 2.000 125 16.0 19.8 19.6 12.0 1.32 29.8 T9-200 17.5

32.5 25.0 At Surface 2.000 150 13.3 19.8 19.6 12.0 0.82 29.8 T8-200 17.5

32.5 25.0 At Surface 2.500 150 16.7 28.2 30.7 22.5 1.59 44.9 T12-200 25.7

32.5 25.0 At Surface 2.500 175 14.3 28.2 30.7 22.5 1.07 44.9 T10-200 25.7

32.5 25.0 At Surface 2.500 200 12.5 28.2 30.7 22.5 0.77 44.9 T9-200 25.7

32.5 25.0 At Surface 3.000 150 20.0 37.9 44.1 37.7 2.75 63.0 T16-100 35.4

32.5 25.0 At Surface 3.000 175 17.1 37.9 44.1 37.7 1.82 63.0 T12-150 35.4

32.5 25.0 At Surface 3.000 200 15.0 37.9 44.1 37.7 1.32 63.0 T12-200 35.4

32.5 25.0 At Surface 3.000 250 12.0 37.9 44.1 37.7 0.79 63.0 T12-250 35.4

32.5 25.0 At Surface 3.000 275 10.9 37.9 44.1 37.7 0.63 63.0 T10-200 35.4

32.5 25.0 At Surface 3.500 175 20.0 49.1 60.1 58.5 2.90 84.3 T16-100 46.7

32.5 25.0 At Surface 3.500 200 17.5 49.1 60.1 58.5 2.10 84.3 T16-200 46.7

32.5 25.0 At Surface 3.500 225 15.6 49.1 60.1 58.5 1.55 84.3 T12-150 46.7

32.5 25.0 At Surface 3.500 300 11.7 49.1 60.1 58.5 0.81 84.3 T12-200 46.7

32.5 25.0 At Surface 4.000 200 20.0 61.6 78.5 85.8 3.15 108.6 T20-100 59.5

32.5 25.0 At Surface 4.000 225 17.8 61.6 78.5 85.8 2.33 108.6 T16-150 59.5

32.5 25.0 At Surface 4.000 250 16.0 61.6 78.5 85.8 1.82 108.6 T16-200 59.5

35.0 0.0 At Base 2.000 125 16.0 15.2 0.0 4.6 0.50 11.1 T7-200 7.2

35.0 0.0 At Base 2.500 125 20.0 22.0 0.0 8.4 0.91 16.3 T8-200 10.2

35.0 0.0 At Base 3.000 125 24.0 30.1 0.0 13.8 1.56 22.4 T12-150 13.7

35.0 0.0 At Base 3.000 150 20.0 30.1 0.0 13.8 0.95 22.4 T9-200 13.7

35.0 0.0 At Base 3.000 175 17.1 30.1 0.0 13.8 0.65 22.4 T8-200 13.7

35.0 0.0 At Base 3.500 150 23.3 39.4 0.0 21.0 1.49 29.6 T12-150 17.6

35.0 0.0 At Base 3.500 175 20.0 39.4 0.0 21.0 1.00 29.6 T10-200 17.6

35.0 0.0 At Base 3.500 200 17.5 39.4 0.0 21.0 0.72 29.6 T9-200 17.6

35.0 0.0 At Base 4.000 175 22.9 49.9 0.0 30.5 1.47 37.7 T12-150 22.1

35.0 0.0 At Base 4.000 200 20.0 49.9 0.0 30.5 1.07 37.7 T12-250 22.1

35.0 0.0 At Base 4.000 225 17.8 49.9 0.0 30.5 0.80 37.7 T10-200 22.1

35.0 0.0 At Surface 2.000 125 16.0 12.3 19.6 9.8 1.06 24.5 T8-200 13.9

35.0 0.0 At Surface 2.500 125 20.0 17.5 30.7 18.4 2.09 37.2 T12-100 20.6

35.0 0.0 At Surface 2.500 150 16.7 17.5 30.7 18.4 1.28 37.2 T10-200 20.6

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35.0 0.0 At Surface 2.500 175 14.3 17.5 30.7 18.4 0.87 37.2 T9-200 20.6

35.0 0.0 At Surface 3.000 150 20.0 23.6 44.1 31.1 2.20 52.6 T12-100 28.7

35.0 0.0 At Surface 3.000 175 17.1 23.6 44.1 31.1 1.50 52.6 T12-200 28.7

35.0 0.0 At Surface 3.000 200 15.0 23.6 44.1 31.1 1.09 52.6 T12-250 28.7

35.0 0.0 At Surface 3.000 225 13.3 23.6 44.1 31.1 0.82 52.6 T10-200 28.7

35.0 0.0 At Surface 3.500 175 20.0 30.5 60.1 48.6 2.41 70.6 T16-150 38.2

35.0 0.0 At Surface 3.500 200 17.5 30.5 60.1 48.6 1.70 70.6 T12-150 38.2

35.0 0.0 At Surface 3.500 250 14.0 30.5 60.1 48.6 1.01 70.6 T12-200 38.2

35.0 0.0 At Surface 3.500 300 11.7 30.5 60.1 48.6 0.67 70.6 T12-250 38.2

35.0 0.0 At Surface 4.000 200 20.0 38.4 78.5 71.6 2.57 91.3 T16-100 48.9

35.0 0.0 At Surface 4.000 225 17.8 38.4 78.5 71.6 1.94 91.3 T16-200 48.9

35.0 0.0 At Surface 4.000 275 14.5 38.4 78.5 71.6 1.20 91.3 T12-150 48.9

35.0 25.0 At Base 2.000 125 16.0 21.2 0.0 6.5 0.69 15.4 T7-200 10.0

35.0 25.0 At Base 2.500 125 20.0 30.8 0.0 11.7 1.30 22.7 T10-200 14.2

35.0 25.0 At Base 2.500 150 16.7 30.8 0.0 11.7 0.80 22.7 T8-200 14.2

35.0 25.0 At Base 2.500 200 12.5 30.8 0.0 11.7 0.40 22.7 T9-200 14.2

35.0 25.0 At Base 3.000 150 20.0 42.0 0.0 19.2 1.36 31.3 T12-250 19.1

35.0 25.0 At Base 3.000 175 17.1 42.0 0.0 19.2 0.91 31.3 T10-200 19.1

35.0 25.0 At Base 3.000 200 15.0 42.0 0.0 19.2 0.66 31.3 T9-200 19.1

35.0 25.0 At Base 3.000 250 12.0 42.0 0.0 19.2 0.40 31.3 T10-200 19.1

35.0 25.0 At Base 3.500 150 23.3 55.0 0.0 29.4 2.15 41.3 T16-100 24.6

35.0 25.0 At Base 3.500 175 20.0 55.0 0.0 29.4 1.42 41.3 T12-200 24.6

35.0 25.0 At Base 3.500 200 17.5 55.0 0.0 29.4 1.03 41.3 T12-250 24.6

35.0 25.0 At Base 3.500 225 15.6 55.0 0.0 29.4 0.77 41.3 T10-200 24.6

35.0 25.0 At Base 4.000 175 22.9 69.6 0.0 42.6 2.17 52.7 T20-200 30.9

35.0 25.0 At Base 4.000 200 20.0 69.6 0.0 42.6 1.49 52.7 T12-150 30.9

35.0 25.0 At Base 4.000 225 17.8 69.6 0.0 42.6 1.13 52.7 T12-200 30.9

35.0 25.0 At Base 4.000 275 14.5 69.6 0.0 42.6 0.72 52.7 T12-250 30.9

35.0 25.0 At Base 4.000 300 13.3 69.6 0.0 42.6 0.58 52.7 T10-200 30.9

35.0 25.0 At Surface 2.000 125 16.0 17.2 19.6 11.2 1.23 27.9 T9-200 16.2

35.0 25.0 At Surface 2.000 150 13.3 17.2 19.6 11.2 0.77 27.9 T8-200 16.2

35.0 25.0 At Surface 2.500 125 20.0 24.5 30.7 21.1 2.39 42.2 T12-100 23.9

35.0 25.0 At Surface 2.500 150 16.7 24.5 30.7 21.1 1.49 42.2 T12-250 23.9

35.0 25.0 At Surface 2.500 175 14.3 24.5 30.7 21.1 1.00 42.2 T10-200 23.9

35.0 25.0 At Surface 2.500 200 12.5 24.5 30.7 21.1 0.73 42.2 T9-200 23.9

35.0 25.0 At Surface 3.000 150 20.0 33.0 44.1 35.4 2.59 59.4 T16-100 33.1

35.0 25.0 At Surface 3.000 175 17.1 33.0 44.1 35.4 1.71 59.4 T12-150 33.1

35.0 25.0 At Surface 3.000 200 15.0 33.0 44.1 35.4 1.24 59.4 T12-200 33.1

35.0 25.0 At Surface 3.000 225 13.3 33.0 44.1 35.4 0.94 59.4 T12-250 33.1

35.0 25.0 At Surface 3.000 250 12.0 33.0 44.1 35.4 0.73 59.4 T10-200 33.1

35.0 25.0 At Surface 3.500 175 20.0 42.7 60.1 55.1 2.73 79.6 T16-100 43.7

35.0 25.0 At Surface 3.500 200 17.5 42.7 60.1 55.1 1.97 79.6 T16-200 43.7

35.0 25.0 At Surface 3.500 225 15.6 42.7 60.1 55.1 1.46 79.6 T12-150 43.7

35.0 25.0 At Surface 3.500 275 12.7 42.7 60.1 55.1 0.93 79.6 T12-200 43.7

35.0 25.0 At Surface 4.000 200 20.0 53.6 78.5 80.9 2.97 102.6 T20-100 55.8

35.0 25.0 At Surface 4.000 225 17.8 53.6 78.5 80.9 2.15 102.6 T12-100 55.8

35.0 25.0 At Surface 4.000 250 16.0 53.6 78.5 80.9 1.72 102.6 T16-200 55.8

35.0 25.0 At Surface 4.000 300 13.3 53.6 78.5 80.9 1.12 102.6 T12-150 55.8

# Note for economy of concrete quantity, span to depth limited to a minimum of 10.0.

* Note the base prop force K.Fbase is equivalent to the tabulated shear force.

@ Note the earth and water forces are tabulated unfactored.

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Bwidthda

K.Fprop

K.Fbase

Stem reinforcement

Undrained Analysis (Cohesive Soils)

Su

(kPa)

Angle

()

Water

Table

Location

da (m)

Wall

Thickness,

Bwidth (mm)

# da /

Bwidth

@ Earth

Force,

Fah

(kN/m)

@ Water

Force,

Fuah

(kN/m)

ULS Effects

Stem

Reinforcement

Prop

Force

K.Fprop

(kN/m)

Bending Moment * Shear

Force,

V (kN/m) M (kNm/m) M/1000.d

2

(N/mm2)

20.0 0.0 At Base 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

20.0 0.0 At Base 2.000 150 13.3 19.2 N/A 5.8 0.39 11.5 T8-200 11.5

20.0 0.0 At Base 2.000 200 10.0 19.2 N/A 5.8 0.20 11.5 T9-200 11.5

20.0 0.0 At Base 2.500 125 20.0 33.8 N/A 12.7 1.41 21.0 T10-200 19.5

20.0 0.0 At Base 2.500 150 16.7 33.8 N/A 12.7 0.87 21.0 T9-200 19.5

20.0 0.0 At Base 2.500 175 14.3 33.8 N/A 12.7 0.60 21.0 T8-200 19.5

20.0 0.0 At Base 3.000 150 20.0 57.6 N/A 26.1 1.84 37.4 T12-150 31.7

20.0 0.0 At Base 3.000 175 17.1 57.6 N/A 26.1 1.26 37.4 T12-250 31.7

20.0 0.0 At Base 3.000 200 15.0 57.6 N/A 26.1 0.90 37.4 T10-200 31.7

20.0 0.0 At Base 3.500 175 20.0 87.2 N/A 46.1 2.22 58.0 T12-100 46.6

20.0 0.0 At Base 3.500 200 17.5 87.2 N/A 46.1 1.61 58.0 T12-150 46.6

20.0 0.0 At Base 3.500 250 14.0 87.2 N/A 46.1 0.96 58.0 T12-200 46.6

20.0 0.0 At Base 3.500 300 11.7 87.2 N/A 46.1 0.64 58.0 T12-250 46.6

20.0 0.0 At Base 4.000 200 20.0 122.4 N/A 74.1 2.66 82.6 T16-100 64.3

20.0 0.0 At Base 4.000 225 17.8 122.4 N/A 74.1 2.01 82.6 T16-200 64.3

20.0 0.0 At Base 4.000 275 14.5 122.4 N/A 74.1 1.24 82.6 T12-150 64.3

20.0 0.0 At Surface 2.000 125 16.0 24.6 N/A 7.4 0.80 15.8 T7-200 13.7

20.0 0.0 At Surface 2.500 125 20.0 47.8 N/A 18.1 2.05 32.3 T12-150 25.1

20.0 0.0 At Surface 2.500 150 16.7 47.8 N/A 18.1 1.26 32.3 T10-200 25.1

20.0 0.0 At Surface 2.500 175 14.3 47.8 N/A 18.1 0.85 32.3 T9-200 25.1

20.0 0.0 At Surface 3.000 150 20.0 77.9 N/A 35.4 2.59 53.6 T16-100 39.8

20.0 0.0 At Surface 3.000 175 17.1 77.9 N/A 35.4 1.71 53.6 T12-150 39.8

20.0 0.0 At Surface 3.000 200 15.0 77.9 N/A 35.4 1.24 53.6 T12-200 39.8

20.0 0.0 At Surface 3.000 225 13.3 77.9 N/A 35.4 0.94 53.6 T12-250 39.8

20.0 0.0 At Surface 3.000 250 12.0 77.9 N/A 35.4 0.73 53.6 T10-200 39.8

20.0 0.0 At Surface 3.500 175 20.0 114.7 N/A 60.9 3.11 80.0 T20-100 57.6

20.0 0.0 At Surface 3.500 200 17.5 114.7 N/A 60.9 2.18 80.0 T16-200 57.6

20.0 0.0 At Surface 3.500 250 14.0 114.7 N/A 60.9 1.27 80.0 T12-150 57.6

20.0 0.0 At Surface 3.500 300 11.7 114.7 N/A 60.9 0.84 80.0 T12-200 57.6

20.0 0.0 At Surface 4.000 200 20.0 158.4 N/A 96.2 3.64 111.4 T25-100 78.7

20.0 0.0 At Surface 4.000 225 17.8 158.4 N/A 96.2 2.67 111.4 T20-200 78.7

20.0 0.0 At Surface 4.000 250 16.0 158.4 N/A 96.2 2.01 111.4 T12-100 78.7

20.0 0.0 At Surface 4.000 275 14.5 158.4 N/A 96.2 1.64 111.4 T16-200 78.7

50.0 0.0 At Base 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

50.0 0.0 At Base 2.500 125 20.0 30.0 N/A 11.3 1.23 18.0 T9-200 18.0

50.0 0.0 At Base 2.500 150 16.7 30.0 N/A 11.3 0.77 18.0 T8-200 18.0

50.0 0.0 At Base 3.000 150 20.0 43.2 N/A 19.4 1.37 25.9 T12-250 25.9

50.0 0.0 At Base 3.000 175 17.1 43.2 N/A 19.4 0.92 25.9 T10-200 25.9

50.0 0.0 At Base 3.000 200 15.0 43.2 N/A 19.4 0.67 25.9 T9-200 25.9

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50.0 0.0 At Base 3.500 150 23.3 58.8 N/A 30.9 2.26 35.3 T16-100 35.3

50.0 0.0 At Base 3.500 175 20.0 58.8 N/A 30.9 1.49 35.3 T12-200 35.3

50.0 0.0 At Base 3.500 200 17.5 58.8 N/A 30.9 1.08 35.3 T12-250 35.3

50.0 0.0 At Base 3.500 225 15.6 58.8 N/A 30.9 0.81 35.3 T10-200 35.3

50.0 0.0 At Base 4.000 175 22.9 76.8 N/A 46.1 2.29 46.1 T16-100 46.1

50.0 0.0 At Base 4.000 200 20.0 76.8 N/A 46.1 1.61 46.1 T12-150 46.1

50.0 0.0 At Base 4.000 250 16.0 76.8 N/A 46.1 0.96 46.1 T12-200 46.1

50.0 0.0 At Base 4.000 300 13.3 76.8 N/A 46.1 0.64 46.1 T12-250 46.1

50.0 0.0 At Surface 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

50.0 0.0 At Surface 2.500 125 20.0 30.0 N/A 11.3 1.23 18.0 T9-200 18.0

50.0 0.0 At Surface 2.500 150 16.7 30.0 N/A 11.3 0.77 18.0 T8-200 18.0

50.0 0.0 At Surface 3.000 150 20.0 43.2 N/A 19.4 1.37 25.9 T12-250 25.9

50.0 0.0 At Surface 3.000 175 17.1 43.2 N/A 19.4 0.92 25.9 T10-200 25.9

50.0 0.0 At Surface 3.000 200 15.0 43.2 N/A 19.4 0.67 25.9 T9-200 25.9

50.0 0.0 At Surface 3.500 150 23.3 58.8 N/A 30.9 2.26 35.3 T16-100 35.3

50.0 0.0 At Surface 3.500 175 20.0 58.8 N/A 30.9 1.49 35.3 T12-200 35.3

50.0 0.0 At Surface 3.500 200 17.5 58.8 N/A 30.9 1.08 35.3 T12-250 35.3

50.0 0.0 At Surface 3.500 225 15.6 58.8 N/A 30.9 0.81 35.3 T10-200 35.3

50.0 0.0 At Surface 4.000 175 22.9 76.8 N/A 46.1 2.29 46.1 T16-100 46.1

50.0 0.0 At Surface 4.000 200 20.0 76.8 N/A 46.1 1.61 46.1 T12-150 46.1

50.0 0.0 At Surface 4.000 250 16.0 76.8 N/A 46.1 0.96 46.1 T12-200 46.1

50.0 0.0 At Surface 4.000 300 13.3 76.8 N/A 46.1 0.64 46.1 T12-250 46.1

85.0 0.0 At Base 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

85.0 0.0 At Base 2.500 125 20.0 30.0 N/A 11.3 1.23 18.0 T9-200 18.0

85.0 0.0 At Base 2.500 150 16.7 30.0 N/A 11.3 0.77 18.0 T8-200 18.0

85.0 0.0 At Base 3.000 150 20.0 43.2 N/A 19.4 1.37 25.9 T12-250 25.9

85.0 0.0 At Base 3.000 175 17.1 43.2 N/A 19.4 0.92 25.9 T10-200 25.9

85.0 0.0 At Base 3.000 200 15.0 43.2 N/A 19.4 0.67 25.9 T9-200 25.9

85.0 0.0 At Base 3.500 150 23.3 58.8 N/A 30.9 2.26 35.3 T16-100 35.3

85.0 0.0 At Base 3.500 175 20.0 58.8 N/A 30.9 1.49 35.3 T12-200 35.3

85.0 0.0 At Base 3.500 200 17.5 58.8 N/A 30.9 1.08 35.3 T12-250 35.3

85.0 0.0 At Base 3.500 225 15.6 58.8 N/A 30.9 0.81 35.3 T10-200 35.3

85.0 0.0 At Base 4.000 175 22.9 76.8 N/A 46.1 2.29 46.1 T16-100 46.1

85.0 0.0 At Base 4.000 200 20.0 76.8 N/A 46.1 1.61 46.1 T12-150 46.1

85.0 0.0 At Base 4.000 250 16.0 76.8 N/A 46.1 0.96 46.1 T12-200 46.1

85.0 0.0 At Base 4.000 300 13.3 76.8 N/A 46.1 0.64 46.1 T12-250 46.1

85.0 0.0 At Surface 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

85.0 0.0 At Surface 2.500 125 20.0 30.0 N/A 11.3 1.23 18.0 T9-200 18.0

85.0 0.0 At Surface 2.500 150 16.7 30.0 N/A 11.3 0.77 18.0 T8-200 18.0

85.0 0.0 At Surface 3.000 150 20.0 43.2 N/A 19.4 1.37 25.9 T12-250 25.9

85.0 0.0 At Surface 3.000 175 17.1 43.2 N/A 19.4 0.92 25.9 T10-200 25.9

85.0 0.0 At Surface 3.000 200 15.0 43.2 N/A 19.4 0.67 25.9 T9-200 25.9

85.0 0.0 At Surface 3.500 150 23.3 58.8 N/A 30.9 2.26 35.3 T16-100 35.3

85.0 0.0 At Surface 3.500 175 20.0 58.8 N/A 30.9 1.49 35.3 T12-200 35.3

85.0 0.0 At Surface 3.500 200 17.5 58.8 N/A 30.9 1.08 35.3 T12-250 35.3

85.0 0.0 At Surface 3.500 225 15.6 58.8 N/A 30.9 0.81 35.3 T10-200 35.3

85.0 0.0 At Surface 4.000 175 22.9 76.8 N/A 46.1 2.29 46.1 T16-100 46.1

85.0 0.0 At Surface 4.000 200 20.0 76.8 N/A 46.1 1.61 46.1 T12-150 46.1

85.0 0.0 At Surface 4.000 250 16.0 76.8 N/A 46.1 0.96 46.1 T12-200 46.1

85.0 0.0 At Surface 4.000 300 13.3 76.8 N/A 46.1 0.64 46.1 T12-250 46.1

130.0 0.0 At Base 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

130.0 0.0 At Base 2.500 125 20.0 30.0 N/A 11.3 1.23 18.0 T9-200 18.0

130.0 0.0 At Base 2.500 150 16.7 30.0 N/A 11.3 0.77 18.0 T8-200 18.0

130.0 0.0 At Base 3.000 150 20.0 43.2 N/A 19.4 1.37 25.9 T12-250 25.9

130.0 0.0 At Base 3.000 175 17.1 43.2 N/A 19.4 0.92 25.9 T10-200 25.9

130.0 0.0 At Base 3.000 200 15.0 43.2 N/A 19.4 0.67 25.9 T9-200 25.9

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130.0 0.0 At Base 3.500 150 23.3 58.8 N/A 30.9 2.26 35.3 T16-100 35.3

130.0 0.0 At Base 3.500 175 20.0 58.8 N/A 30.9 1.49 35.3 T12-200 35.3

130.0 0.0 At Base 3.500 200 17.5 58.8 N/A 30.9 1.08 35.3 T12-250 35.3

130.0 0.0 At Base 3.500 225 15.6 58.8 N/A 30.9 0.81 35.3 T10-200 35.3

130.0 0.0 At Base 4.000 175 22.9 76.8 N/A 46.1 2.29 46.1 T16-100 46.1

130.0 0.0 At Base 4.000 200 20.0 76.8 N/A 46.1 1.61 46.1 T12-150 46.1

130.0 0.0 At Base 4.000 250 16.0 76.8 N/A 46.1 0.96 46.1 T12-200 46.1

130.0 0.0 At Base 4.000 300 13.3 76.8 N/A 46.1 0.64 46.1 T12-250 46.1

130.0 0.0 At Surface 2.000 125 16.0 19.2 N/A 5.8 0.62 11.5 T7-200 11.5

130.0 0.0 At Surface 2.500 125 20.0 30.0 N/A 11.3 1.23 18.0 T9-200 18.0

130.0 0.0 At Surface 2.500 150 16.7 30.0 N/A 11.3 0.77 18.0 T8-200 18.0

130.0 0.0 At Surface 3.000 150 20.0 43.2 N/A 19.4 1.37 25.9 T12-250 25.9

130.0 0.0 At Surface 3.000 175 17.1 43.2 N/A 19.4 0.92 25.9 T10-200 25.9

130.0 0.0 At Surface 3.000 200 15.0 43.2 N/A 19.4 0.67 25.9 T9-200 25.9

130.0 0.0 At Surface 3.500 150 23.3 58.8 N/A 30.9 2.26 35.3 T16-100 35.3

130.0 0.0 At Surface 3.500 175 20.0 58.8 N/A 30.9 1.49 35.3 T12-200 35.3

130.0 0.0 At Surface 3.500 200 17.5 58.8 N/A 30.9 1.08 35.3 T12-250 35.3

130.0 0.0 At Surface 3.500 225 15.6 58.8 N/A 30.9 0.81 35.3 T10-200 35.3

130.0 0.0 At Surface 4.000 175 22.9 76.8 N/A 46.1 2.29 46.1 T16-100 46.1

130.0 0.0 At Surface 4.000 200 20.0 76.8 N/A 46.1 1.61 46.1 T12-150 46.1

130.0 0.0 At Surface 4.000 250 16.0 76.8 N/A 46.1 0.96 46.1 T12-200 46.1

130.0 0.0 At Surface 4.000 300 13.3 76.8 N/A 46.1 0.64 46.1 T12-250 46.1

# Note for economy of concrete quantity, span to depth limited to a minimum of 10.0.

* Note the base prop force K.Fbase is equivalent to the tabulated shear force.

@ Note the earth and water forces are tabulated unfactored.

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13.0 STANDARD CANTILEVER RC RETAINING WALL DESIGNS

The following soil properties are adopted:-

Dry bulk unit weight, dry = 18.0kN/m3

Saturated bulk unit weight, sat = 22.5kN/m3

The following constants and relationships are adopted:-

Surcharge at surface (on active pressure side only), psurface = 10.0kPa (cl.3.3.4.1 BS8002)

Depth of resisting soil (passive earth pressure), dp = 0.000m

Depth of retained soil (active earth pressure), da Angle of retaining face from horizontal, = 90 Angle of exposed face from horizontal, = 90 Bulk unit weight, = dry or sat

Two analysis methods are performed, namely drained analysis for cohesionless soils and undrained analysis

for cohesive soils.

The drained analysis method employing the Coulomb theory is described as follows:-

Effective cohesion, c' = 0.0kPa

Effective angle of shear resistance, '

Effective angle of friction on wall, ' = 0.0

Angle of soil slope from horizontal,

Vertical total stress, va = psurface to va = psurface + .da

Hydrostatic pressure, ua = 0.0 dry or 0.0 to 0.0 + w.da for saturated

Vertical effective stress, va' = va - ua

Coulomb active earth pressure coefficient, Ka

2

2

2

a

)sin()'sin(

)'sin()''sin(1)'sin(sin

)'(sinK

Active effective pressure, ha' = Ka.va' 2c'√Ka

Active force, Fa' = 0.5 . (ha,surface'+ha,base') . da

Horizontal component of Fa', Fah' = Fa' . cos(90-+)

Vertical (downward) component of Fa', Fav' = Fa' . sin(90°-+)

Centroid of Fa', ea = da . (2ha,surface'+ha,base') / [3.(ha,surface'+ha,base')]

Hydrostatic force, Fua = 0.5 . (ua,surface+ua,base) . da

Horizontal component of Fua, Fuah = Fua . sin

Vertical (downward) component of Fua, Fuav = Fua . cos

Centroid of Fua, eua = da . (2ua,surface+ua,base) / [3.(ua,surface+ua,base)]

The undrained analysis method is described as follows:-

Vertical total stress, va = psurface to va = psurface + .da

Active pressure, ha = MAX (4.8da, va 2Su)

Active force, Fa = 0.5 . (ha,surface+ha,base) . da

Horizontal component of Fa, Fah = Fa . sin

Vertical (downward) component of Fa, Fav = Fa . cos

Centroid of Fa, ea = da . (2ha,surface+ha,base) / [3.(ha,surface+ha,base)]

Moment and shear analyses are based on the following equations described for undrained and drained analysis

methods respectively. Note the adopted loading factor, K = 1.20.

M = K.Fah(K.Fah').ea+0(K.Fuah).eua

Vult and V = K.Fah(K.Fah')+0(K.Fuah)

Note that the physical thickness of the prop (at the base) has not been considered in effectively reducing the

effective span of the cantilever retaining wall, instead the full defined depth dimension, da is adopted as the

effective span.

Moment design is based on the following equations.

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Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Deflection design is based on the following equations.

Basic span / effective depth ratio for rectangular cantilever section of 7.0 adopted.

Deflection modification factor due to compression reinforcement not incorporated.

Note instability phenomena normally associated with external cantilever retaining walls such as bearing capacity

failure, sliding failure and uplift (overturning) failure not investigated as herein the retaining wall is assumed to be

attached onto the main building structure that is deemed to provide stability in these respects.

Note covers as follows:-

wall (internal face) 25mm

wall (earth face) 50mm

base bottom and sides 75mm

base top 25mm

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Stem reinforcement

Bwidthda

K.Fbase

Drained Analysis (Cohesionless Soils)

Angle

' ()

Angle

()

Water

Table

Location

da (m)

Wall

Thickness,

Bwidth (mm)

da /

Bwidth

@ Earth

Force,

Fah’

(kN/m)

@ Water

Force,

Fuah

(kN/m)

ULS Effects

Stem

Reinforcement

Bending Moment * Shear

Force,

V (kN/m) * M

(kNm/m)

M/1000.d2

(N/mm2)

27.5 0.0 At Base 0.500 125 4.0 2.7 0.0 0.7 0.14 3.2 T7-200

27.5 0.0 At Base 1.000 125 8.0 7.0 0.0 3.5 0.69 8.4 T7-200

27.5 0.0 At Base 1.500 175 8.6 13.0 0.0 9.4 0.65 15.6 T8-200

27.5 0.0 At Base 2.000 200 10.0 20.6 0.0 19.4 0.94 24.7 T12-150

27.5 0.0 At Base 2.000 225 8.9 20.6 0.0 19.4 0.67 24.7 T9-200

27.5 0.0 At Base 2.000 250 8.0 20.6 0.0 19.4 0.51 24.7 T10-200

27.5 0.0 At Base 2.500 250 10.0 29.9 0.0 34.5 0.92 35.9 T12-150

27.5 0.0 At Base 2.500 275 9.1 29.9 0.0 34.5 0.72 35.9 T12-250

27.5 0.0 At Base 2.500 300 8.3 29.9 0.0 34.5 0.58 35.9 T10-200

27.5 0.0 At Base 3.000 275 10.9 40.9 0.0 55.7 1.18 49.0 T16-100

27.5 0.0 At Base 3.000 300 10.0 40.9 0.0 55.7 0.95 49.0 T16-200

27.5 0.0 At Surface 0.500 125 4.0 2.4 1.2 0.9 0.18 4.4 T7-200

27.5 0.0 At Surface 1.000 150 6.7 6.0 4.9 5.1 0.55 13.1 T8-200

27.5 0.0 At Surface 1.500 175 8.6 10.8 11.0 14.7 1.04 26.2 T12-200

27.5 0.0 At Surface 1.500 200 7.5 10.8 11.0 14.7 0.70 26.2 T9-200

27.5 0.0 At Surface 2.000 225 8.9 16.7 19.6 32.0 1.12 43.6 T12-150

27.5 0.0 At Surface 2.000 250 8.0 16.7 19.6 32.0 0.85 43.6 T12-250

27.5 0.0 At Surface 2.000 275 7.3 16.7 19.6 32.0 0.66 43.6 T10-200

27.5 0.0 At Surface 3.000 300 10.0 32.1 44.1 98.1 1.74 91.5 T25-100

27.5 25.0 At Base 0.500 125 4.0 4.3 0.0 1.2 0.23 5.2 T7-200

27.5 25.0 At Base 1.000 150 6.7 11.3 0.0 5.7 0.62 13.6 T8-200

27.5 25.0 At Base 1.500 175 8.6 21.0 0.0 15.3 1.08 25.2 T12-200

27.5 25.0 At Base 1.500 200 7.5 21.0 0.0 15.3 0.72 25.2 T9-200

27.5 25.0 At Base 2.000 225 8.9 33.4 0.0 31.5 1.10 40.0 T12-150

27.5 25.0 At Base 2.000 250 8.0 33.4 0.0 31.5 0.84 40.0 T12-250

27.5 25.0 At Base 2.000 275 7.3 33.4 0.0 31.5 0.65 40.0 T10-200

27.5 25.0 At Base 2.500 250 10.0 48.4 0.0 55.9 1.55 58.1 T20-100

27.5 25.0 At Base 2.500 275 9.1 48.4 0.0 55.9 1.19 58.1 T16-200

27.5 25.0 At Base 2.500 300 8.3 48.4 0.0 55.9 0.94 58.1 T12-150

27.5 25.0 At Base 3.000 300 10.0 66.1 0.0 90.1 1.56 79.4 T20-100

27.5 25.0 At Surface 0.500 125 4.0 3.9 1.2 1.3 0.26 6.2 T7-200

27.5 25.0 At Surface 1.000 150 6.7 9.7 4.9 7.0 0.76 17.6 T8-200

27.5 25.0 At Surface 1.500 175 8.6 17.4 11.0 19.8 1.40 34.2 T12-100

27.5 25.0 At Surface 1.500 200 7.5 17.4 11.0 19.8 0.94 34.2 T10-200

27.5 25.0 At Surface 1.500 225 6.7 17.4 11.0 19.8 0.68 34.2 T9-200

27.5 25.0 At Surface 2.000 225 8.9 27.0 19.6 42.1 1.51 56.0 T16-150

27.5 25.0 At Surface 2.000 250 8.0 27.0 19.6 42.1 1.12 56.0 T12-150

27.5 25.0 At Surface 2.000 275 7.3 27.0 19.6 42.1 0.88 56.0 T12-200

27.5 25.0 At Surface 2.000 300 6.7 27.0 19.6 42.1 0.71 56.0 T12-250

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27.5 25.0 At Surface 2.500 275 9.1 38.5 30.7 76.6 1.63 83.0 T16-100

27.5 25.0 At Surface 2.500 300 8.3 38.5 30.7 76.6 1.29 83.0 T12-100

30.0 0.0 At Base 0.500 125 4.0 2.4 0.0 0.7 0.13 2.9 T7-200

30.0 0.0 At Base 1.000 125 8.0 6.3 0.0 3.2 0.63 7.6 T7-200

30.0 0.0 At Base 1.500 175 8.6 11.8 0.0 8.6 0.58 14.1 T8-200

30.0 0.0 At Base 2.000 200 10.0 18.7 0.0 17.6 0.85 22.4 T12-200

30.0 0.0 At Base 2.000 225 8.9 18.7 0.0 17.6 0.61 22.4 T9-200

30.0 0.0 At Base 2.500 250 10.0 27.1 0.0 31.3 0.83 32.5 T12-150

30.0 0.0 At Base 2.500 275 9.1 27.1 0.0 31.3 0.65 32.5 T10-200

30.0 0.0 At Base 3.000 275 10.9 37.0 0.0 50.4 1.07 44.4 T16-150

30.0 0.0 At Base 3.000 300 10.0 37.0 0.0 50.4 0.85 44.4 T12-150

30.0 0.0 At Surface 0.500 125 4.0 2.2 1.2 0.9 0.17 4.1 T7-200

30.0 0.0 At Surface 1.000 150 6.7 5.4 4.9 4.8 0.52 12.4 T8-200

30.0 0.0 At Surface 1.500 175 8.6 9.8 11.0 14.0 0.99 25.0 T12-250

30.0 0.0 At Surface 1.500 200 7.5 9.8 11.0 14.0 0.66 25.0 T9-200

30.0 0.0 At Surface 2.000 225 8.9 15.1 19.6 30.5 1.07 41.7 T12-150

30.0 0.0 At Surface 2.000 250 8.0 15.1 19.6 30.5 0.81 41.7 T12-250

30.0 0.0 At Surface 2.000 275 7.3 15.1 19.6 30.5 0.63 41.7 T10-200

30.0 0.0 At Surface 2.500 250 10.0 21.6 30.7 56.4 1.56 62.7 T20-100

30.0 0.0 At Surface 2.500 275 9.1 21.6 30.7 56.4 1.20 62.7 T16-200

30.0 0.0 At Surface 2.500 300 8.3 21.6 30.7 56.4 0.95 62.7 T12-150

30.0 0.0 At Surface 3.000 300 10.0 29.0 44.1 93.8 1.63 87.8 T20-100

30.0 25.0 At Base 0.500 125 4.0 3.7 0.0 1.0 0.19 4.4 T7-200

30.0 25.0 At Base 1.000 150 6.7 9.6 0.0 4.8 0.53 11.5 T8-200

30.0 25.0 At Base 1.500 175 8.6 17.8 0.0 12.9 0.90 21.3 T10-200

30.0 25.0 At Base 1.500 200 7.5 17.8 0.0 12.9 0.61 21.3 T9-200

30.0 25.0 At Base 2.000 225 8.9 28.3 0.0 26.6 0.93 33.9 T12-200

30.0 25.0 At Base 2.000 250 8.0 28.3 0.0 26.6 0.70 33.9 T10-200

30.0 25.0 At Base 2.500 250 10.0 41.0 0.0 47.3 1.31 49.2 T20-200

30.0 25.0 At Base 2.500 275 9.1 41.0 0.0 47.3 0.99 49.2 T12-150

30.0 25.0 At Base 2.500 300 8.3 41.0 0.0 47.3 0.79 49.2 T12-200

30.0 25.0 At Base 3.000 300 10.0 56.0 0.0 76.3 1.30 67.2 T16-100

30.0 25.0 At Surface 0.500 125 4.0 3.3 1.2 1.2 0.23 5.5 T7-200

30.0 25.0 At Surface 1.000 150 6.7 8.2 4.9 6.3 0.68 15.8 T8-200

30.0 25.0 At Surface 1.500 175 8.6 14.8 11.0 17.8 1.25 31.0 T12-150

30.0 25.0 At Surface 1.500 200 7.5 14.8 11.0 17.8 0.84 31.0 T9-200

30.0 25.0 At Surface 2.000 225 8.9 22.9 19.6 38.0 1.33 51.0 T12-100

30.0 25.0 At Surface 2.000 250 8.0 22.9 19.6 38.0 1.01 51.0 T12-200

30.0 25.0 At Surface 2.000 275 7.3 22.9 19.6 38.0 0.79 51.0 T12-250

30.0 25.0 At Surface 2.000 300 6.7 22.9 19.6 38.0 0.63 51.0 T10-200

30.0 25.0 At Surface 2.500 275 9.1 32.6 30.7 69.6 1.51 75.9 T20-200

30.0 25.0 At Surface 2.500 300 8.3 32.6 30.7 69.6 1.19 75.9 T16-200

32.5 0.0 At Base 0.500 125 4.0 2.2 0.0 0.6 0.11 2.6 T7-200

32.5 0.0 At Base 1.000 125 8.0 5.7 0.0 2.9 0.57 6.9 T7-200

32.5 0.0 At Base 1.500 175 8.6 10.6 0.0 7.7 0.53 12.7 T8-200

32.5 0.0 At Base 2.000 200 10.0 16.9 0.0 15.9 0.77 20.2 T12-250

32.5 0.0 At Base 2.000 225 8.9 16.9 0.0 15.9 0.55 20.2 T9-200

32.5 0.0 At Base 2.500 250 10.0 24.5 0.0 28.2 0.75 29.3 T12-200

32.5 0.0 At Base 2.500 275 9.1 24.5 0.0 28.2 0.58 29.3 T10-200

32.5 0.0 At Base 3.000 275 10.9 33.4 0.0 45.5 0.97 40.1 T16-200

32.5 0.0 At Base 3.000 300 10.0 33.4 0.0 45.5 0.76 40.1 T12-150

32.5 0.0 At Surface 0.500 125 4.0 2.0 1.2 0.8 0.15 3.9 T7-200

32.5 0.0 At Surface 1.000 150 6.7 4.9 4.9 4.5 0.49 11.8 T8-200

32.5 0.0 At Surface 1.500 175 8.6 8.8 11.0 13.3 0.94 23.8 T12-250

32.5 0.0 At Surface 1.500 200 7.5 8.8 11.0 13.3 0.63 23.8 T9-200

32.5 0.0 At Surface 2.000 225 8.9 13.7 19.6 29.0 1.02 39.9 T12-150

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32.5 0.0 At Surface 2.000 250 8.0 13.7 19.6 29.0 0.76 39.9 T10-200

32.5 0.0 At Surface 2.500 250 10.0 19.5 30.7 53.9 1.46 60.1 T16-100

32.5 0.0 At Surface 2.500 275 9.1 19.5 30.7 53.9 1.14 60.1 T16-200

32.5 0.0 At Surface 2.500 300 8.3 19.5 30.7 53.9 0.90 60.1 T12-150

32.5 0.0 At Surface 3.000 300 10.0 26.2 44.1 89.9 1.56 84.4 T20-100

32.5 25.0 At Base 0.500 125 4.0 3.2 0.0 0.8 0.17 3.8 T7-200

32.5 25.0 At Base 1.000 150 6.7 8.3 0.0 4.2 0.45 9.9 T8-200

32.5 25.0 At Base 1.500 175 8.6 15.3 0.0 11.2 0.77 18.4 T9-200

32.5 25.0 At Base 2.000 200 10.0 24.4 0.0 23.0 1.11 29.3 T12-100

32.5 25.0 At Base 2.000 225 8.9 24.4 0.0 23.0 0.80 29.3 T12-250

32.5 25.0 At Base 2.000 250 8.0 24.4 0.0 23.0 0.60 29.3 T10-200

32.5 25.0 At Base 2.500 250 10.0 35.4 0.0 40.8 1.11 42.5 T16-200

32.5 25.0 At Base 2.500 275 9.1 35.4 0.0 40.8 0.85 42.5 T12-200

32.5 25.0 At Base 2.500 300 8.3 35.4 0.0 40.8 0.69 42.5 T12-250

32.5 25.0 At Base 3.000 275 10.9 48.3 0.0 65.8 1.42 58.0 T20-100

32.5 25.0 At Base 3.000 300 10.0 48.3 0.0 65.8 1.11 58.0 T12-100

32.5 25.0 At Surface 0.500 125 4.0 2.9 1.2 1.0 0.20 4.9 T7-200

32.5 25.0 At Surface 1.000 150 6.7 7.1 4.9 5.7 0.62 14.4 T8-200

32.5 25.0 At Surface 1.500 175 8.6 12.7 11.0 16.2 1.15 28.5 T12-150

32.5 25.0 At Surface 1.500 200 7.5 12.7 11.0 16.2 0.77 28.5 T9-200

32.5 25.0 At Surface 2.000 225 8.9 19.8 19.6 35.0 1.25 47.3 T16-200

32.5 25.0 At Surface 2.000 250 8.0 19.8 19.6 35.0 0.93 47.3 T12-200

32.5 25.0 At Surface 2.000 275 7.3 19.8 19.6 35.0 0.72 47.3 T10-200

32.5 25.0 At Surface 2.500 275 9.1 28.2 30.7 64.2 1.36 70.6 T16-150

32.5 25.0 At Surface 2.500 300 8.3 28.2 30.7 64.2 1.08 70.6 T12-150

35.0 0.0 At Base 0.500 125 4.0 2.0 0.0 0.5 0.10 2.4 T7-200

35.0 0.0 At Base 1.000 125 8.0 5.1 0.0 2.6 0.51 6.2 T7-200

35.0 0.0 At Base 1.500 175 8.6 9.6 0.0 7.0 0.47 11.5 T8-200

35.0 0.0 At Base 2.000 200 10.0 15.2 0.0 14.3 0.68 18.2 T10-200

35.0 0.0 At Base 2.000 225 8.9 15.2 0.0 14.3 0.49 18.2 T9-200

35.0 0.0 At Base 2.500 250 10.0 22.0 0.0 25.4 0.68 26.4 T12-250

35.0 0.0 At Base 2.500 275 9.1 22.0 0.0 25.4 0.52 26.4 T10-200

35.0 0.0 At Base 3.000 275 10.9 30.1 0.0 41.0 0.87 36.1 T16-200

35.0 0.0 At Base 3.000 300 10.0 30.1 0.0 41.0 0.69 36.1 T12-200

35.0 0.0 At Surface 0.500 125 4.0 1.8 1.2 0.7 0.14 3.6 T7-200

35.0 0.0 At Surface 1.000 150 6.7 4.4 4.9 4.3 0.46 11.2 T8-200

35.0 0.0 At Surface 1.500 175 8.6 7.9 11.0 12.6 0.88 22.8 T10-200

35.0 0.0 At Surface 1.500 200 7.5 7.9 11.0 12.6 0.60 22.8 T9-200

35.0 0.0 At Surface 2.000 225 8.9 12.3 19.6 27.7 0.97 38.3 T12-200

35.0 0.0 At Surface 2.000 250 8.0 12.3 19.6 27.7 0.73 38.3 T10-200

35.0 0.0 At Surface 2.500 250 10.0 17.5 30.7 51.6 1.40 57.8 T16-100

35.0 0.0 At Surface 2.500 275 9.1 17.5 30.7 51.6 1.10 57.8 T16-200

35.0 0.0 At Surface 2.500 300 8.3 17.5 30.7 51.6 0.87 57.8 T12-200

35.0 0.0 At Surface 3.000 300 10.0 23.6 44.1 86.2 1.53 81.3 T25-200

35.0 25.0 At Base 0.500 125 4.0 2.7 0.0 0.7 0.14 3.3 T7-200

35.0 25.0 At Base 1.000 125 8.0 7.2 0.0 3.6 0.71 8.6 T7-200

35.0 25.0 At Base 1.500 175 8.6 13.3 0.0 9.7 0.66 16.0 T8-200

35.0 25.0 At Base 2.000 200 10.0 21.2 0.0 20.0 0.96 25.4 T12-150

35.0 25.0 At Base 2.000 225 8.9 21.2 0.0 20.0 0.69 25.4 T10-200

35.0 25.0 At Base 2.500 250 10.0 30.8 0.0 35.5 0.94 36.9 T12-150

35.0 25.0 At Base 2.500 275 9.1 30.8 0.0 35.5 0.74 36.9 T12-200

35.0 25.0 At Base 2.500 300 8.3 30.8 0.0 35.5 0.59 36.9 T10-200

35.0 25.0 At Base 3.000 275 10.9 42.0 0.0 57.2 1.22 50.4 T16-100

35.0 25.0 At Base 3.000 300 10.0 42.0 0.0 57.2 0.98 50.4 T16-200

35.0 25.0 At Surface 0.500 125 4.0 2.5 1.2 0.9 0.18 4.5 T7-200

35.0 25.0 At Surface 1.000 150 6.7 6.2 4.9 5.2 0.56 13.3 T8-200

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35.0 25.0 At Surface 1.500 175 8.6 11.1 11.0 15.0 1.06 26.5 T12-200

35.0 25.0 At Surface 1.500 200 7.5 11.1 11.0 15.0 0.71 26.5 T9-200

35.0 25.0 At Surface 2.000 225 8.9 17.2 19.6 32.5 1.14 44.2 T12-150

35.0 25.0 At Surface 2.000 250 8.0 17.2 19.6 32.5 0.86 44.2 T12-250

35.0 25.0 At Surface 2.000 275 7.3 17.2 19.6 32.5 0.67 44.2 T10-200

35.0 25.0 At Surface 2.500 250 10.0 24.5 30.7 59.9 1.70 66.2 T25-100

35.0 25.0 At Surface 2.500 275 9.1 24.5 30.7 59.9 1.25 66.2 T12-100

35.0 25.0 At Surface 2.500 300 8.3 24.5 30.7 59.9 1.01 66.2 T12-150

35.0 25.0 At Surface 3.000 300 10.0 33.0 44.1 99.3 1.76 92.5 T25-100

* Note the base prop force K.Fbase is equivalent to the tabulated shear force.

* Note the base moment is equivalent to the tabulated bending moment.

@ Note the earth and water forces are tabulated unfactored.

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Stem reinforcement

Bwidthda

K.Fbase

Undrained Analysis (Cohesive Soils)

Su

(kPa)

Angle

()

Water

Table

Location

da (m)

Wall

Thickness,

Bwidth (mm)

da /

Bwidth

@ Earth

Force,

Fah

(kN/m)

@ Water

Force,

Fuah

(kN/m)

ULS Effects

Stem

Reinforcement

Bending Moment * Shear

Force,

V (kN/m) * M

(kNm/m)

M/1000.d2

(N/mm2)

20.0 0.0 At Base 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

20.0 0.0 At Base 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

20.0 0.0 At Base 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

20.0 0.0 At Base 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

20.0 0.0 At Base 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

20.0 0.0 At Base 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

20.0 0.0 At Base 2.500 250 10.0 33.8 N/A 48.8 1.32 40.5 T16-100

20.0 0.0 At Base 2.500 275 9.1 33.8 N/A 48.8 1.02 40.5 T12-150

20.0 0.0 At Base 2.500 300 8.3 33.8 N/A 48.8 0.82 40.5 T12-200

20.0 0.0 At Base 3.000 300 10.0 57.6 N/A 95.0 1.65 69.1 T20-100

20.0 0.0 At Surface 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

20.0 0.0 At Surface 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

20.0 0.0 At Surface 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

20.0 0.0 At Surface 2.000 225 8.9 24.6 N/A 27.4 0.96 29.5 T12-200

20.0 0.0 At Surface 2.000 250 8.0 24.6 N/A 27.4 0.72 29.5 T10-200

20.0 0.0 At Surface 2.500 275 9.1 47.8 N/A 62.8 1.31 57.4 T12-100

20.0 0.0 At Surface 2.500 300 8.3 47.8 N/A 62.8 1.06 57.4 T12-150

50.0 0.0 At Base 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

50.0 0.0 At Base 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

50.0 0.0 At Base 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

50.0 0.0 At Base 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

50.0 0.0 At Base 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

50.0 0.0 At Base 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

50.0 0.0 At Base 2.500 250 10.0 30.0 N/A 45.0 1.20 36.0 T12-100

50.0 0.0 At Base 2.500 275 9.1 30.0 N/A 45.0 0.94 36.0 T12-150

50.0 0.0 At Base 2.500 300 8.3 30.0 N/A 45.0 0.76 36.0 T12-200

50.0 0.0 At Base 3.000 300 10.0 43.2 N/A 77.8 1.33 51.8 T16-100

50.0 0.0 At Surface 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

50.0 0.0 At Surface 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

50.0 0.0 At Surface 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

50.0 0.0 At Surface 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

50.0 0.0 At Surface 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

50.0 0.0 At Surface 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

50.0 0.0 At Surface 2.500 250 10.0 30.0 N/A 45.0 1.20 36.0 T12-100

50.0 0.0 At Surface 2.500 275 9.1 30.0 N/A 45.0 0.94 36.0 T12-150

50.0 0.0 At Surface 2.500 300 8.3 30.0 N/A 45.0 0.76 36.0 T12-200

50.0 0.0 At Surface 3.000 300 10.0 43.2 N/A 77.8 1.33 51.8 T16-100

85.0 0.0 At Base 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

85.0 0.0 At Base 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

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85.0 0.0 At Base 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

85.0 0.0 At Base 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

85.0 0.0 At Base 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

85.0 0.0 At Base 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

85.0 0.0 At Base 2.500 250 10.0 30.0 N/A 45.0 1.20 36.0 T12-100

85.0 0.0 At Base 2.500 275 9.1 30.0 N/A 45.0 0.94 36.0 T12-150

85.0 0.0 At Base 2.500 300 8.3 30.0 N/A 45.0 0.76 36.0 T12-200

85.0 0.0 At Base 3.000 300 10.0 43.2 N/A 77.8 1.33 51.8 T16-100

85.0 0.0 At Surface 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

85.0 0.0 At Surface 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

85.0 0.0 At Surface 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

85.0 0.0 At Surface 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

85.0 0.0 At Surface 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

85.0 0.0 At Surface 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

85.0 0.0 At Surface 2.500 250 10.0 30.0 N/A 45.0 1.20 36.0 T12-100

85.0 0.0 At Surface 2.500 275 9.1 30.0 N/A 45.0 0.94 36.0 T12-150

85.0 0.0 At Surface 2.500 300 8.3 30.0 N/A 45.0 0.76 36.0 T12-200

85.0 0.0 At Surface 3.000 300 10.0 43.2 N/A 77.8 1.33 51.8 T16-100

130.0 0.0 At Base 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

130.0 0.0 At Base 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

130.0 0.0 At Base 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

130.0 0.0 At Base 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

130.0 0.0 At Base 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

130.0 0.0 At Base 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

130.0 0.0 At Base 2.500 250 10.0 30.0 N/A 45.0 1.20 36.0 T12-100

130.0 0.0 At Base 2.500 275 9.1 30.0 N/A 45.0 0.94 36.0 T12-150

130.0 0.0 At Base 2.500 300 8.3 30.0 N/A 45.0 0.76 36.0 T12-200

130.0 0.0 At Base 3.000 300 10.0 43.2 N/A 77.8 1.33 51.8 T16-100

130.0 0.0 At Surface 0.500 125 4.0 1.2 N/A 0.4 0.07 1.4 T7-200

130.0 0.0 At Surface 1.000 125 8.0 4.8 N/A 2.9 0.56 5.8 T7-200

130.0 0.0 At Surface 1.500 175 8.6 10.8 N/A 9.7 0.66 13.0 T8-200

130.0 0.0 At Surface 2.000 200 10.0 19.2 N/A 23.0 1.11 23.0 T12-100

130.0 0.0 At Surface 2.000 225 8.9 19.2 N/A 23.0 0.81 23.0 T12-250

130.0 0.0 At Surface 2.000 250 8.0 19.2 N/A 23.0 0.61 23.0 T10-200

130.0 0.0 At Surface 2.500 250 10.0 30.0 N/A 45.0 1.20 36.0 T12-100

130.0 0.0 At Surface 2.500 275 9.1 30.0 N/A 45.0 0.94 36.0 T12-150

130.0 0.0 At Surface 2.500 300 8.3 30.0 N/A 45.0 0.76 36.0 T12-200

130.0 0.0 At Surface 3.000 300 10.0 43.2 N/A 77.8 1.33 51.8 T16-100

* Note the base prop force K.Fbase is equivalent to the tabulated shear force.

* Note the base moment is equivalent to the tabulated bending moment.

@ Note the earth and water forces are tabulated unfactored.

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14.0 STANDARD FOUNDATION LOADING ESTIMATION

Foundation load estimation should be based upon loading tributary areas with the addition of internal elastic

reaction factors, KINT (which vary between 1.10 and 1.25) for foundations supporting columns beneath

continuous beams.

Note the SLS foundation load, FSLS (kN) is estimated as follows:-

FSLS = [number of storeys] . KINT .

[(1.0DL+1.0SDL+1.0LL) . (loading tributary area) + 1.0pbrick . (clear floor height) . (loading tributary length)]

where pbrick is the on elevation brickwork loading, as previously defined.

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15.0 STANDARD SHALLOW FOUNDATION ALLOWABLE (SAFE) NET (EFFECTIVE) BEARING CAPACITY

The following soil properties are adopted:-

Dry bulk unit weight, dry = 18.0kN/m3

Saturated bulk unit weight, sat = 22.5kN/m3

Factor of safety for net (effective) bearing capacity, FOS = 3.0.

Two methods of evaluating bearing capacity are described, namely the empirical method and the Terzaghi

method.

The empirical bearing capacity method adopts the following relationships.

Allowable (safe) net effective bearing capacity (cohesionless soils), qfnet’

≈ k.30N/FOS = k.10N (pad footing)

≈ k.21N/FOS = k.7N (strip footing)

Allowable (safe) net bearing capacity (cohesive soils), qfnet

≈ k.42.6N/FOS = k.14.2N (pad footing)

≈ k.35.5N/FOS = k.11.8N (strip footing)

where N is the standard penetration test value and k is the ground level modification factor described as

follows:-

The Terzaghi bearing capacity method adopts the following relationships, where D is the depth of foundation

founding level from ground level and zu is the depth of water table from ground level.

Allowable (safe) net effective bearing capacity (drained analysis), qfnet' = (qf' - p0') / FOS

Gross effective bearing capacity, qf' = sc.dc.Nc,strip.c' + sq.dq.Nq,strip.p0' + s.d.N,strip.B/2.'

Cohesion shape factor,

Cohesion depth factor,

Cohesion bearing capacity factor (Prandtl), Nc,strip = (Nq,strip-1).cot'

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Surcharge shape factor,

Surcharge depth factor, dq =

Surcharge bearing capacity factor (Reissner), Nq,strip

Self weight shape factor,

Self weight depth factor,

Self weight bearing capacity factor (Hansen), N,strip = 2.0(Nq,strip-1).tan'

Effective surcharge above founding level, p0' and unit weight, ’

Allowable (safe) net bearing capacity (undrained analysis), qfnet = (qf - p0) / FOS

Gross bearing capacity, qf = sc.dc.Nc,strip.Su + p0

Shape factor, sc = 1+0.2(B/L)

Depth factor, dc = 1+(0.053D/B)0.5 for D/B <= 4.0

Bearing capacity factor (Skempton), Nc,strip = (2+)

Total surcharge above founding level, p0

Case when (zu-D) >= MAX (B, L)

p0 = psurface+dry.D

Case when 0 < (zu-D) < MAX (B, L)

p0 = psurface+dry.D

Case when (zu-D) = 0

p0 = psurface+dry.D

Case when (zu-D) < 0 and zu >= 0

p0 = psurface+sat.(D-zu)+dry.zu

Case when zu < 0

p0 = psurface+sat.D+w.(-zu)

Case when (zu-D) >= MAX (B, L)

p0' = psurface+dry.D

' = dry

Case when 0 < (zu-D) < MAX (B, L)

p0' = psurface+dry.D

' = zu/MAX(B,L) . [dry - (sat - w)] + (sat - w)

Case when (zu-D) = 0

p0' = psurface+dry.D

' = sat - w

Case when (zu-D) < 0 and zu >= 0

p0' = psurface+(sat-w).(D-zu)+dry.zu

' = sat - w

Case when zu < 0

p0' = psurface+sat.D+w.(-zu)-w.(D+(-zu))

Note that the above equation reduces to p0' = psurface+(sat-w).D;

' = sat - w

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Three methods of evaluating total settlement are described, namely the elastic settlement method for

cohesionless and cohesive soils, the Burland and Burbidge SPT settlement method for cohesionless soils

and the combined elastic and one dimensional consolidation theory settlement method for cohesive soils.

The elastic settlement method adopts the following relationships.

Influence factor, Is = fs.fd

Shape and rigidity factor, fs

Depth factor, fd

Drained elastic modulus, Ev’

Sand and Gravel (Normally Consolidated) Ev' = 1000N

Sand and Gravel (Over Consolidated) Ev' = 2000N

Clay and Silt Ev' = 200Su

Total settlement,

where B (m) is the foundation width and q (kPa) is the net (effective) working pressure, qwnet'.

The Burland and Burbidge SPT settlement method adopts the following relationships.

Total settlement, = 1.71q.B0.7/N1.4

where B (m) is the foundation width and q (kPa) is the net (effective) working pressure, qwnet'.

The combined elastic and one dimensional consolidation theory settlement method adopts the following

relationships.

Total deflection for rectangular footings, = = [mv.v'.H] (mm) where

m = (B/2)/z

n = (L/2)/z

v' = 4 . qwnet' . I (kPa)

Total deflection for circular footings, = = [mv.v'.H] (mm) where

v' = 1 . qwnet' . I (kPa)

Note the Fox’s correction factor is conservatively taken as 1.0. Note that the total thickness of the soil layer

considered and discretized is 3.0 x L (rectangular) and 3.0 x B (circular) on the assumption that the pressure

bulb is not more than 3.0 x the corresponding foundation dimension.

Rectangular Circular

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Allowable (Safe) Net Effective Bearing Capacity, qfnet’

(Empirical Method)

Allowable (Safe) Net Bearing Capacity, qfnet

(Empirical Method)

Cohesionless Soils (Drained Analysis)

(Sands, Gravels)

Cohesive Soils (Undrained Analysis)

(Clays, Silts)

SPT (N) MP

^ qfnet’ (kPa)

Remark SPT (N) MP

^ qfnet (kPa)

Remark # Low WT

# High WT

# No

Flooding

# With

Flooding

0.0 0.0 0 (0) 0 (0)

Very Loose

0.0 0.0 0 (0) 0 (0) Very Soft

2.0 4.3 20 (14) 10 (7) 2.0 10.0 28 (24) 19 (16) Soft

4.0 10.0 40 (28) 20 (14) 4.0 20.0 57 (47) 38 (32)

Loose Medium Stiff

8.0 24.2 80 (56) 40 (28) 8.0 40.0 114 (94) 76 (63)

Stiff 10.0 30.0 100 (70) 50 (35) 10.0 49.5 142 (118) 95 (79)

Medium

12.5 37.0 125 (88) 63 (44) 12.5 60.4 178 (148) 119 (99)

15.0 43.7 150 (105) 75 (53) 15.0 70.0 213 (177) 143 (119)

Very Stiff

17.5 50.2 175 (123) 88 (61) 17.5 77.3 249 (207) 166 (138)

20.0 56.5 200 (140) 100 (70) 20.0 83.7 284 (236) 190 (158)

22.5 62.7 225 (158) 113 (79) 22.5 88.9 320 (266) 214 (178)

25.0 68.6 250 (175) 125 (88) 25.0 93.2 355 (295) 238 (198)

27.5 74.5 275 (193) 138 (96) 27.5 96.8 391 (325) 262 (217)

30.0 80.0 300 (210) 150 (105) 30.0 100.0 426 (354) 285 (237)

Dense

Hard 32.5 85.5 325 (228) 163 (114) > 30.0 > 100.0 >426 (354) >285 (237)

35.0 90.7 350 (245) 175 (123)

37.5 95.6 375 (263) 188 (131)

40.0 100.2 400 (280) 200 (140)

42.5 104.4 425 (298) 213 (149)

45.0 107.9 450 (315) 225 (158)

47.5 110.0 475 (333) 238 (166)

50.0 110.0 500 (350) 250 (175)

Very Dense > 50.0 > 110.0 >500 (350) >250 (175)

# Note for cohesionless soils, high water table (WT) refers to ground water table level being higher than B below the foundation founding

level, where B is the foundation width, and vice versa. # Note for cohesive soils, with flooding refers to site liable to flooding, and vice versa.

^ Note unbracketed values refer to pad footing capacities whilst bracketed values refer to strip footing capacities.

Relationship Between Undrained Shear Strength, Su and

SPT, N (Stroud)

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

Su (kPa) <20 20-40 40-75 75-150 >150

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

dry (kN/m3)

sat (kN/m3) 16 17 18 19 20 21

Relationship Between Effective Angle of Shear Resistance, '

and SPT, N (Peck)

Very

Loose Loose

Medium

Dense Dense

Very

Dense

dry (kN/m3)

(sat (kN/m3))

<14

(<16)

14-16

(16-18)

16-17

(18-19)

17-19

(19-21)

>19

(>21)

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Allowable (Safe) Net Effective Bearing Capacity, qfnet’

(Terzaghi Method)

Allowable (Safe) Net Bearing Capacity, qfnet

(Terzaghi Method)

Cohesionless Soils (Drained Analysis)

(Sands, Gravels)

Cohesive Soils (Undrained Analysis)

(Clays, Silts)

' ()& D (m)

& zu (m)

# B (m) ^ qfnet’ (kPa) Su (kPa)

& D (m)

& zu (m)

# B (m) ^ qfnet (kPa)

25.0 0.000 0.000 0.300 4 (6) 10 0.000 0.000 0.300 21 (17)

25.0 0.000 0.000 0.600 8 (11) 10 0.000 0.000 0.600 21 (17)

25.0 0.000 0.000 0.900 12 (17) 10 0.000 0.000 0.900 21 (17)

25.0 0.000 0.000 1.200 16 (23) 10 0.000 0.000 1.200 21 (17)

25.0 0.000 0.000 1.500 20 (29) 10 0.000 0.000 1.500 21 (17)

25.0 0.000 0.000 1.800 24 (34) 10 0.000 0.000 1.800 21 (17)

25.0 0.000 0.000 2.100 28 (40) 10 0.000 0.000 2.100 21 (17)

25.0 0.000 0.000 2.400 32 (46) 10 0.000 0.000 2.400 21 (17)

25.0 0.000 0.000 2.700 36 (51) 10 0.000 0.000 2.700 21 (17)

25.0 0.000 0.000 3.000 40 (57) 10 0.000 0.000 3.000 21 (17)

25.0 0.000 0.000 6.000 80 (114) 10 0.000 0.000 6.000 21 (17)

25.0 0.000 0.000 9.000 120 (172) 10 0.000 0.000 9.000 21 (17)

25.0 0.000 0.000 12.000 160 (229) 10 0.000 0.000 12.000 21 (17)

25.0 0.000 0.000 0.300 4 (6) 10 0.000 0.000 0.300 21 (17)

25.0 0.000 0.000 0.600 8 (11) 10 0.000 0.000 0.600 21 (17)

25.0 0.000 0.000 0.900 12 (17) 10 0.000 0.000 0.900 21 (17)

25.0 0.000 0.000 1.200 16 (23) 10 0.000 0.000 1.200 21 (17)

25.0 0.000 0.000 1.500 20 (29) 10 0.000 0.000 1.500 21 (17)

25.0 0.000 0.000 1.800 24 (34) 10 0.000 0.000 1.800 21 (17)

25.0 0.000 0.000 2.100 28 (40) 10 0.000 0.000 2.100 21 (17)

25.0 0.000 0.000 2.400 32 (46) 10 0.000 0.000 2.400 21 (17)

25.0 0.000 0.000 2.700 36 (51) 10 0.000 0.000 2.700 21 (17)

25.0 0.000 0.000 3.000 40 (57) 10 0.000 0.000 3.000 21 (17)

25.0 0.000 0.000 6.000 80 (114) 10 0.000 0.000 6.000 21 (17)

25.0 0.000 0.000 9.000 120 (172) 10 0.000 0.000 9.000 21 (17)

25.0 0.000 0.000 12.000 160 (229) 10 0.000 0.000 12.000 21 (17)

25.0 0.000 0.300 0.300 6 (8) 10 0.000 0.300 0.300 21 (17)

25.0 0.000 0.600 0.600 11 (16) 10 0.000 0.600 0.600 21 (17)

25.0 0.000 0.900 0.900 17 (24) 10 0.000 0.900 0.900 21 (17)

Relationship Between Undrained Shear Strength, Su and

SPT, N (Stroud)

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

Su (kPa) <20 20-40 40-75 75-150 >150

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

dry (kN/m3)

sat (kN/m3) 16 17 18 19 20 21

Relationship Between Effective Angle of Shear Resistance, '

and SPT, N (Peck)

Very

Loose Loose

Medium

Dense Dense

Very

Dense

dry (kN/m3)

(sat (kN/m3))

<14

(<16)

14-16

(16-18)

16-17

(18-19)

17-19

(19-21)

>19

(>21)

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25.0 0.000 1.200 1.200 23 (32) 10 0.000 1.200 1.200 21 (17)

25.0 0.000 1.500 1.500 28 (41) 10 0.000 1.500 1.500 21 (17)

25.0 0.000 1.800 1.800 34 (49) 10 0.000 1.800 1.800 21 (17)

25.0 0.000 2.100 2.100 40 (57) 10 0.000 2.100 2.100 21 (17)

25.0 0.000 2.400 2.400 45 (65) 10 0.000 2.400 2.400 21 (17)

25.0 0.000 2.700 2.700 51 (73) 10 0.000 2.700 2.700 21 (17)

25.0 0.000 3.000 3.000 57 (81) 10 0.000 3.000 3.000 21 (17)

25.0 0.000 6.000 6.000 114 (162) 10 0.000 6.000 6.000 21 (17)

25.0 0.000 9.000 9.000 170 (243) 10 0.000 9.000 9.000 21 (17)

25.0 0.000 12.000 12.000 227 (324) 10 0.000 12.000 12.000 21 (17)

25.0 0.300 0.000 0.300 27 (21) 10 0.300 0.000 0.300 25 (21)

25.0 0.300 0.000 0.600 29 (26) 10 0.300 0.000 0.600 24 (20)

25.0 0.300 0.000 0.900 32 (31) 10 0.300 0.000 0.900 23 (19)

25.0 0.300 0.000 1.200 35 (36) 10 0.300 0.000 1.200 23 (19)

25.0 0.300 0.000 1.500 39 (42) 10 0.300 0.000 1.500 23 (19)

25.0 0.300 0.000 1.800 43 (47) 10 0.300 0.000 1.800 22 (19)

25.0 0.300 0.000 2.100 47 (53) 10 0.300 0.000 2.100 22 (19)

25.0 0.300 0.000 2.400 51 (59) 10 0.300 0.000 2.400 22 (19)

25.0 0.300 0.000 2.700 55 (64) 10 0.300 0.000 2.700 22 (18)

25.0 0.300 0.000 3.000 59 (70) 10 0.300 0.000 3.000 22 (18)

25.0 0.300 0.000 6.000 98 (127) 10 0.300 0.000 6.000 22 (18)

25.0 0.300 0.000 9.000 138 (184) 10 0.300 0.000 9.000 21 (18)

25.0 0.300 0.000 12.000 178 (241) 10 0.300 0.000 12.000 21 (18)

25.0 0.300 0.300 0.300 36 (28) 10 0.300 0.300 0.300 25 (21)

25.0 0.300 0.300 0.600 37 (32) 10 0.300 0.300 0.600 24 (20)

25.0 0.300 0.300 0.900 40 (36) 10 0.300 0.300 0.900 23 (19)

25.0 0.300 0.300 1.200 44 (42) 10 0.300 0.300 1.200 23 (19)

25.0 0.300 0.300 1.500 47 (47) 10 0.300 0.300 1.500 23 (19)

25.0 0.300 0.300 1.800 51 (53) 10 0.300 0.300 1.800 22 (19)

25.0 0.300 0.300 2.100 55 (58) 10 0.300 0.300 2.100 22 (19)

25.0 0.300 0.300 2.400 59 (64) 10 0.300 0.300 2.400 22 (19)

25.0 0.300 0.300 2.700 62 (70) 10 0.300 0.300 2.700 22 (18)

25.0 0.300 0.300 3.000 66 (75) 10 0.300 0.300 3.000 22 (18)

25.0 0.300 0.300 6.000 106 (132) 10 0.300 0.300 6.000 22 (18)

25.0 0.300 0.300 9.000 146 (189) 10 0.300 0.300 9.000 21 (18)

25.0 0.300 0.300 12.000 186 (246) 10 0.300 0.300 12.000 21 (18)

25.0 0.300 0.600 0.300 38 (30) 10 0.300 0.600 0.300 25 (21)

25.0 0.300 0.900 0.600 41 (36) 10 0.300 0.900 0.600 24 (20)

25.0 0.300 1.200 0.900 45 (44) 10 0.300 1.200 0.900 23 (19)

25.0 0.300 1.500 1.200 50 (51) 10 0.300 1.500 1.200 23 (19)

25.0 0.300 1.800 1.500 56 (59) 10 0.300 1.800 1.500 23 (19)

25.0 0.300 2.100 1.800 61 (67) 10 0.300 2.100 1.800 22 (19)

25.0 0.300 2.400 2.100 66 (75) 10 0.300 2.400 2.100 22 (19)

25.0 0.300 2.700 2.400 72 (83) 10 0.300 2.700 2.400 22 (19)

25.0 0.300 3.000 2.700 78 (91) 10 0.300 3.000 2.700 22 (18)

25.0 0.300 3.300 3.000 83 (99) 10 0.300 3.300 3.000 22 (18)

25.0 0.300 6.300 6.000 139 (180) 10 0.300 6.300 6.000 22 (18)

25.0 0.300 9.300 9.000 196 (261) 10 0.300 9.300 9.000 21 (18)

25.0 0.300 12.300 12.000 253 (342) 10 0.300 12.300 12.000 21 (18)

25.0 0.600 0.000 0.300 53 (40) 10 0.600 0.000 0.300 27 (23)

25.0 0.600 0.000 0.600 53 (43) 10 0.600 0.000 0.600 25 (21)

25.0 0.600 0.000 0.900 55 (47) 10 0.600 0.000 0.900 24 (20)

25.0 0.600 0.000 1.200 58 (51) 10 0.600 0.000 1.200 24 (20)

25.0 0.600 0.000 1.500 61 (56) 10 0.600 0.000 1.500 24 (20)

25.0 0.600 0.000 1.800 64 (62) 10 0.600 0.000 1.800 23 (19)

25.0 0.600 0.000 2.100 67 (67) 10 0.600 0.000 2.100 23 (19)

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25.0 0.600 0.000 2.400 71 (72) 10 0.600 0.000 2.400 23 (19)

25.0 0.600 0.000 2.700 75 (78) 10 0.600 0.000 2.700 23 (19)

25.0 0.600 0.000 3.000 78 (83) 10 0.600 0.000 3.000 23 (19)

25.0 0.600 0.000 6.000 117 (140) 10 0.600 0.000 6.000 22 (18)

25.0 0.600 0.000 9.000 157 (197) 10 0.600 0.000 9.000 22 (18)

25.0 0.600 0.000 12.000 197 (254) 10 0.600 0.000 12.000 22 (18)

25.0 0.600 0.600 0.300 74 (54) 10 0.600 0.600 0.300 27 (23)

25.0 0.600 0.600 0.600 72 (56) 10 0.600 0.600 0.600 25 (21)

25.0 0.600 0.600 0.900 73 (59) 10 0.600 0.600 0.900 24 (20)

25.0 0.600 0.600 1.200 75 (63) 10 0.600 0.600 1.200 24 (20)

25.0 0.600 0.600 1.500 77 (68) 10 0.600 0.600 1.500 24 (20)

25.0 0.600 0.600 1.800 80 (73) 10 0.600 0.600 1.800 23 (19)

25.0 0.600 0.600 2.100 84 (78) 10 0.600 0.600 2.100 23 (19)

25.0 0.600 0.600 2.400 87 (83) 10 0.600 0.600 2.400 23 (19)

25.0 0.600 0.600 2.700 91 (89) 10 0.600 0.600 2.700 23 (19)

25.0 0.600 0.600 3.000 94 (94) 10 0.600 0.600 3.000 23 (19)

25.0 0.600 0.600 6.000 133 (150) 10 0.600 0.600 6.000 22 (18)

25.0 0.600 0.600 9.000 172 (207) 10 0.600 0.600 9.000 22 (18)

25.0 0.600 0.600 12.000 212 (264) 10 0.600 0.600 12.000 22 (18)

25.0 0.600 0.900 0.300 75 (56) 10 0.600 0.900 0.300 27 (23)

25.0 0.600 1.200 0.600 76 (60) 10 0.600 1.200 0.600 25 (21)

25.0 0.600 1.500 0.900 78 (66) 10 0.600 1.500 0.900 24 (20)

25.0 0.600 1.800 1.200 82 (73) 10 0.600 1.800 1.200 24 (20)

25.0 0.600 2.100 1.500 86 (80) 10 0.600 2.100 1.500 24 (20)

25.0 0.600 2.400 1.800 91 (87) 10 0.600 2.400 1.800 23 (19)

25.0 0.600 2.700 2.100 95 (95) 10 0.600 2.700 2.100 23 (19)

25.0 0.600 3.000 2.400 101 (103) 10 0.600 3.000 2.400 23 (19)

25.0 0.600 3.300 2.700 106 (110) 10 0.600 3.300 2.700 23 (19)

25.0 0.600 3.600 3.000 111 (118) 10 0.600 3.600 3.000 23 (19)

25.0 0.600 6.600 6.000 166 (198) 10 0.600 6.600 6.000 22 (18)

25.0 0.600 9.600 9.000 222 (279) 10 0.600 9.600 9.000 22 (18)

25.0 0.600 12.600 12.000 279 (360) 10 0.600 12.600 12.000 22 (18)

25.0 0.900 0.000 0.300 80 (58) 10 0.900 0.000 0.300 29 (24)

25.0 0.900 0.000 0.600 80 (61) 10 0.900 0.000 0.600 26 (22)

25.0 0.900 0.000 0.900 80 (64) 10 0.900 0.000 0.900 25 (21)

25.0 0.900 0.000 1.200 82 (68) 10 0.900 0.000 1.200 25 (21)

25.0 0.900 0.000 1.500 84 (72) 10 0.900 0.000 1.500 24 (20)

25.0 0.900 0.000 1.800 86 (77) 10 0.900 0.000 1.800 24 (20)

25.0 0.900 0.000 2.100 89 (82) 10 0.900 0.000 2.100 24 (20)

25.0 0.900 0.000 2.400 92 (87) 10 0.900 0.000 2.400 23 (20)

25.0 0.900 0.000 2.700 96 (92) 10 0.900 0.000 2.700 23 (19)

25.0 0.900 0.000 3.000 99 (98) 10 0.900 0.000 3.000 23 (19)

25.0 0.900 0.000 6.000 137 (153) 10 0.900 0.000 6.000 22 (19)

25.0 0.900 0.000 9.000 176 (210) 10 0.900 0.000 9.000 22 (18)

25.0 0.900 0.000 12.000 215 (266) 10 0.900 0.000 12.000 22 (18)

25.0 0.900 0.900 0.300 112 (80) 10 0.900 0.900 0.300 29 (24)

25.0 0.900 0.900 0.600 110 (81) 10 0.900 0.900 0.600 26 (22)

25.0 0.900 0.900 0.900 109 (83) 10 0.900 0.900 0.900 25 (21)

25.0 0.900 0.900 1.200 109 (87) 10 0.900 0.900 1.200 25 (21)

25.0 0.900 0.900 1.500 110 (90) 10 0.900 0.900 1.500 24 (20)

25.0 0.900 0.900 1.800 112 (95) 10 0.900 0.900 1.800 24 (20)

25.0 0.900 0.900 2.100 115 (99) 10 0.900 0.900 2.100 24 (20)

25.0 0.900 0.900 2.400 118 (104) 10 0.900 0.900 2.400 23 (20)

25.0 0.900 0.900 2.700 121 (109) 10 0.900 0.900 2.700 23 (19)

25.0 0.900 0.900 3.000 124 (115) 10 0.900 0.900 3.000 23 (19)

25.0 0.900 0.900 6.000 160 (169) 10 0.900 0.900 6.000 22 (19)

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25.0 0.900 0.900 9.000 199 (225) 10 0.900 0.900 9.000 22 (18)

25.0 0.900 0.900 12.000 239 (282) 10 0.900 0.900 12.000 22 (18)

25.0 0.900 1.200 0.300 114 (83) 10 0.900 1.200 0.300 29 (24)

25.0 0.900 1.500 0.600 113 (86) 10 0.900 1.500 0.600 26 (22)

25.0 0.900 1.800 0.900 114 (91) 10 0.900 1.800 0.900 25 (21)

25.0 0.900 2.100 1.200 116 (96) 10 0.900 2.100 1.200 25 (21)

25.0 0.900 2.400 1.500 119 (102) 10 0.900 2.400 1.500 24 (20)

25.0 0.900 2.700 1.800 122 (109) 10 0.900 2.700 1.800 24 (20)

25.0 0.900 3.000 2.100 127 (116) 10 0.900 3.000 2.100 24 (20)

25.0 0.900 3.300 2.400 131 (123) 10 0.900 3.300 2.400 23 (20)

25.0 0.900 3.600 2.700 136 (131) 10 0.900 3.600 2.700 23 (19)

25.0 0.900 3.900 3.000 141 (138) 10 0.900 3.900 3.000 23 (19)

25.0 0.900 6.900 6.000 194 (217) 10 0.900 6.900 6.000 22 (19)

25.0 0.900 9.900 9.000 249 (297) 10 0.900 9.900 9.000 22 (18)

25.0 0.900 12.900 12.000 305 (378) 10 0.900 12.900 12.000 22 (18)

25.0 1.200 0.000 0.300 108 (77) 10 1.200 0.000 0.300 30 (25)

25.0 1.200 0.000 0.600 106 (79) 10 1.200 0.000 0.600 27 (23)

25.0 1.200 0.000 0.900 106 (82) 10 1.200 0.000 0.900 26 (22)

25.0 1.200 0.000 1.200 107 (85) 10 1.200 0.000 1.200 25 (21)

25.0 1.200 0.000 1.500 108 (89) 10 1.200 0.000 1.500 25 (21)

25.0 1.200 0.000 1.800 110 (93) 10 1.200 0.000 1.800 24 (20)

25.0 1.200 0.000 2.100 112 (98) 10 1.200 0.000 2.100 24 (20)

25.0 1.200 0.000 2.400 115 (103) 10 1.200 0.000 2.400 24 (20)

25.0 1.200 0.000 2.700 118 (108) 10 1.200 0.000 2.700 24 (20)

25.0 1.200 0.000 3.000 121 (113) 10 1.200 0.000 3.000 24 (20)

25.0 1.200 0.000 6.000 157 (167) 10 1.200 0.000 6.000 23 (19)

25.0 1.200 0.000 9.000 195 (223) 10 1.200 0.000 9.000 22 (19)

25.0 1.200 0.000 12.000 234 (279) 10 1.200 0.000 12.000 22 (18)

25.0 1.200 1.200 0.300 151 (107) 10 1.200 1.200 0.300 30 (25)

25.0 1.200 1.200 0.600 148 (107) 10 1.200 1.200 0.600 27 (23)

25.0 1.200 1.200 0.900 146 (109) 10 1.200 1.200 0.900 26 (22)

25.0 1.200 1.200 1.200 145 (111) 10 1.200 1.200 1.200 25 (21)

25.0 1.200 1.200 1.500 145 (114) 10 1.200 1.200 1.500 25 (21)

25.0 1.200 1.200 1.800 146 (118) 10 1.200 1.200 1.800 24 (20)

25.0 1.200 1.200 2.100 148 (122) 10 1.200 1.200 2.100 24 (20)

25.0 1.200 1.200 2.400 150 (126) 10 1.200 1.200 2.400 24 (20)

25.0 1.200 1.200 2.700 152 (131) 10 1.200 1.200 2.700 24 (20)

25.0 1.200 1.200 3.000 155 (136) 10 1.200 1.200 3.000 24 (20)

25.0 1.200 1.200 6.000 189 (189) 10 1.200 1.200 6.000 23 (19)

25.0 1.200 1.200 9.000 227 (244) 10 1.200 1.200 9.000 22 (19)

25.0 1.200 1.200 12.000 265 (301) 10 1.200 1.200 12.000 22 (18)

25.0 1.200 1.500 0.300 153 (109) 10 1.200 1.500 0.300 30 (25)

25.0 1.200 1.800 0.600 151 (112) 10 1.200 1.800 0.600 27 (23)

25.0 1.200 2.100 0.900 151 (116) 10 1.200 2.100 0.900 26 (22)

25.0 1.200 2.400 1.200 151 (121) 10 1.200 2.400 1.200 25 (21)

25.0 1.200 2.700 1.500 153 (126) 10 1.200 2.700 1.500 25 (21)

25.0 1.200 3.000 1.800 156 (132) 10 1.200 3.000 1.800 24 (20)

25.0 1.200 3.300 2.100 159 (139) 10 1.200 3.300 2.100 24 (20)

25.0 1.200 3.600 2.400 163 (146) 10 1.200 3.600 2.400 24 (20)

25.0 1.200 3.900 2.700 167 (153) 10 1.200 3.900 2.700 24 (20)

25.0 1.200 4.200 3.000 172 (160) 10 1.200 4.200 3.000 24 (20)

25.0 1.200 7.200 6.000 222 (236) 10 1.200 7.200 6.000 23 (19)

25.0 1.200 10.200 9.000 277 (316) 10 1.200 10.200 9.000 22 (19)

25.0 1.200 13.200 12.000 332 (396) 10 1.200 13.200 12.000 22 (18)

27.5 0.000 0.000 0.300 6 (9) 20 0.000 0.000 0.300 41 (34)

27.5 0.000 0.000 0.600 12 (17) 20 0.000 0.000 0.600 41 (34)

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27.5 0.000 0.000 0.900 18 (26) 20 0.000 0.000 0.900 41 (34)

27.5 0.000 0.000 1.200 24 (34) 20 0.000 0.000 1.200 41 (34)

27.5 0.000 0.000 1.500 30 (43) 20 0.000 0.000 1.500 41 (34)

27.5 0.000 0.000 1.800 36 (51) 20 0.000 0.000 1.800 41 (34)

27.5 0.000 0.000 2.100 42 (60) 20 0.000 0.000 2.100 41 (34)

27.5 0.000 0.000 2.400 48 (68) 20 0.000 0.000 2.400 41 (34)

27.5 0.000 0.000 2.700 54 (77) 20 0.000 0.000 2.700 41 (34)

27.5 0.000 0.000 3.000 60 (85) 20 0.000 0.000 3.000 41 (34)

27.5 0.000 0.000 6.000 120 (171) 20 0.000 0.000 6.000 41 (34)

27.5 0.000 0.000 9.000 179 (256) 20 0.000 0.000 9.000 41 (34)

27.5 0.000 0.000 12.000 239 (342) 20 0.000 0.000 12.000 41 (34)

27.5 0.000 0.000 0.300 6 (9) 20 0.000 0.000 0.300 41 (34)

27.5 0.000 0.000 0.600 12 (17) 20 0.000 0.000 0.600 41 (34)

27.5 0.000 0.000 0.900 18 (26) 20 0.000 0.000 0.900 41 (34)

27.5 0.000 0.000 1.200 24 (34) 20 0.000 0.000 1.200 41 (34)

27.5 0.000 0.000 1.500 30 (43) 20 0.000 0.000 1.500 41 (34)

27.5 0.000 0.000 1.800 36 (51) 20 0.000 0.000 1.800 41 (34)

27.5 0.000 0.000 2.100 42 (60) 20 0.000 0.000 2.100 41 (34)

27.5 0.000 0.000 2.400 48 (68) 20 0.000 0.000 2.400 41 (34)

27.5 0.000 0.000 2.700 54 (77) 20 0.000 0.000 2.700 41 (34)

27.5 0.000 0.000 3.000 60 (85) 20 0.000 0.000 3.000 41 (34)

27.5 0.000 0.000 6.000 120 (171) 20 0.000 0.000 6.000 41 (34)

27.5 0.000 0.000 9.000 179 (256) 20 0.000 0.000 9.000 41 (34)

27.5 0.000 0.000 12.000 239 (342) 20 0.000 0.000 12.000 41 (34)

27.5 0.000 0.300 0.300 8 (12) 20 0.000 0.300 0.300 41 (34)

27.5 0.000 0.600 0.600 17 (24) 20 0.000 0.600 0.600 41 (34)

27.5 0.000 0.900 0.900 25 (36) 20 0.000 0.900 0.900 41 (34)

27.5 0.000 1.200 1.200 34 (48) 20 0.000 1.200 1.200 41 (34)

27.5 0.000 1.500 1.500 42 (61) 20 0.000 1.500 1.500 41 (34)

27.5 0.000 1.800 1.800 51 (73) 20 0.000 1.800 1.800 41 (34)

27.5 0.000 2.100 2.100 59 (85) 20 0.000 2.100 2.100 41 (34)

27.5 0.000 2.400 2.400 68 (97) 20 0.000 2.400 2.400 41 (34)

27.5 0.000 2.700 2.700 76 (109) 20 0.000 2.700 2.700 41 (34)

27.5 0.000 3.000 3.000 85 (121) 20 0.000 3.000 3.000 41 (34)

27.5 0.000 6.000 6.000 170 (242) 20 0.000 6.000 6.000 41 (34)

27.5 0.000 9.000 9.000 255 (364) 20 0.000 9.000 9.000 41 (34)

27.5 0.000 12.000 12.000 339 (485) 20 0.000 12.000 12.000 41 (34)

27.5 0.300 0.000 0.300 37 (29) 20 0.300 0.000 0.300 51 (42)

27.5 0.300 0.000 0.600 40 (36) 20 0.300 0.000 0.600 48 (40)

27.5 0.300 0.000 0.900 45 (44) 20 0.300 0.000 0.900 47 (39)

27.5 0.300 0.000 1.200 50 (52) 20 0.300 0.000 1.200 46 (38)

27.5 0.300 0.000 1.500 56 (60) 20 0.300 0.000 1.500 45 (38)

27.5 0.300 0.000 1.800 62 (69) 20 0.300 0.000 1.800 45 (37)

27.5 0.300 0.000 2.100 68 (77) 20 0.300 0.000 2.100 45 (37)

27.5 0.300 0.000 2.400 73 (85) 20 0.300 0.000 2.400 44 (37)

27.5 0.300 0.000 2.700 79 (94) 20 0.300 0.000 2.700 44 (37)

27.5 0.300 0.000 3.000 85 (102) 20 0.300 0.000 3.000 44 (37)

27.5 0.300 0.000 6.000 145 (188) 20 0.300 0.000 6.000 43 (36)

27.5 0.300 0.000 9.000 204 (273) 20 0.300 0.000 9.000 43 (36)

27.5 0.300 0.000 12.000 264 (358) 20 0.300 0.000 12.000 43 (36)

27.5 0.300 0.300 0.300 50 (38) 20 0.300 0.300 0.300 51 (42)

27.5 0.300 0.300 0.600 52 (44) 20 0.300 0.300 0.600 48 (40)

27.5 0.300 0.300 0.900 56 (51) 20 0.300 0.300 0.900 47 (39)

27.5 0.300 0.300 1.200 62 (59) 20 0.300 0.300 1.200 46 (38)

27.5 0.300 0.300 1.500 67 (68) 20 0.300 0.300 1.500 45 (38)

27.5 0.300 0.300 1.800 73 (76) 20 0.300 0.300 1.800 45 (37)

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27.5 0.300 0.300 2.100 78 (84) 20 0.300 0.300 2.100 45 (37)

27.5 0.300 0.300 2.400 84 (93) 20 0.300 0.300 2.400 44 (37)

27.5 0.300 0.300 2.700 90 (101) 20 0.300 0.300 2.700 44 (37)

27.5 0.300 0.300 3.000 96 (109) 20 0.300 0.300 3.000 44 (37)

27.5 0.300 0.300 6.000 155 (195) 20 0.300 0.300 6.000 43 (36)

27.5 0.300 0.300 9.000 215 (280) 20 0.300 0.300 9.000 43 (36)

27.5 0.300 0.300 12.000 274 (365) 20 0.300 0.300 12.000 43 (36)

27.5 0.300 0.600 0.300 52 (41) 20 0.300 0.600 0.300 51 (42)

27.5 0.300 0.900 0.600 57 (51) 20 0.300 0.900 0.600 48 (40)

27.5 0.300 1.200 0.900 64 (62) 20 0.300 1.200 0.900 47 (39)

27.5 0.300 1.500 1.200 72 (74) 20 0.300 1.500 1.200 46 (38)

27.5 0.300 1.800 1.500 79 (85) 20 0.300 1.800 1.500 45 (38)

27.5 0.300 2.100 1.800 88 (97) 20 0.300 2.100 1.800 45 (37)

27.5 0.300 2.400 2.100 96 (109) 20 0.300 2.400 2.100 45 (37)

27.5 0.300 2.700 2.400 104 (121) 20 0.300 2.700 2.400 44 (37)

27.5 0.300 3.000 2.700 112 (133) 20 0.300 3.000 2.700 44 (37)

27.5 0.300 3.300 3.000 121 (145) 20 0.300 3.300 3.000 44 (37)

27.5 0.300 6.300 6.000 205 (266) 20 0.300 6.300 6.000 43 (36)

27.5 0.300 9.300 9.000 290 (387) 20 0.300 9.300 9.000 43 (36)

27.5 0.300 12.300 12.000 375 (508) 20 0.300 12.300 12.000 43 (36)

27.5 0.600 0.000 0.300 72 (53) 20 0.600 0.000 0.300 55 (45)

27.5 0.600 0.000 0.600 73 (58) 20 0.600 0.000 0.600 51 (42)

27.5 0.600 0.000 0.900 76 (65) 20 0.600 0.000 0.900 49 (41)

27.5 0.600 0.000 1.200 80 (72) 20 0.600 0.000 1.200 48 (40)

27.5 0.600 0.000 1.500 85 (80) 20 0.600 0.000 1.500 47 (39)

27.5 0.600 0.000 1.800 90 (88) 20 0.600 0.000 1.800 47 (39)

27.5 0.600 0.000 2.100 95 (96) 20 0.600 0.000 2.100 46 (38)

27.5 0.600 0.000 2.400 101 (104) 20 0.600 0.000 2.400 46 (38)

27.5 0.600 0.000 2.700 106 (112) 20 0.600 0.000 2.700 46 (38)

27.5 0.600 0.000 3.000 112 (120) 20 0.600 0.000 3.000 45 (38)

27.5 0.600 0.000 6.000 170 (205) 20 0.600 0.000 6.000 44 (37)

27.5 0.600 0.000 9.000 230 (290) 20 0.600 0.000 9.000 44 (36)

27.5 0.600 0.000 12.000 289 (375) 20 0.600 0.000 12.000 43 (36)

27.5 0.600 0.600 0.300 100 (72) 20 0.600 0.600 0.300 55 (45)

27.5 0.600 0.600 0.600 99 (76) 20 0.600 0.600 0.600 51 (42)

27.5 0.600 0.600 0.900 101 (81) 20 0.600 0.600 0.900 49 (41)

27.5 0.600 0.600 1.200 104 (88) 20 0.600 0.600 1.200 48 (40)

27.5 0.600 0.600 1.500 108 (95) 20 0.600 0.600 1.500 47 (39)

27.5 0.600 0.600 1.800 113 (103) 20 0.600 0.600 1.800 47 (39)

27.5 0.600 0.600 2.100 118 (111) 20 0.600 0.600 2.100 46 (38)

27.5 0.600 0.600 2.400 123 (119) 20 0.600 0.600 2.400 46 (38)

27.5 0.600 0.600 2.700 128 (127) 20 0.600 0.600 2.700 46 (38)

27.5 0.600 0.600 3.000 134 (135) 20 0.600 0.600 3.000 45 (38)

27.5 0.600 0.600 6.000 192 (219) 20 0.600 0.600 6.000 44 (37)

27.5 0.600 0.600 9.000 251 (304) 20 0.600 0.600 9.000 44 (36)

27.5 0.600 0.600 12.000 310 (389) 20 0.600 0.600 12.000 43 (36)

27.5 0.600 0.900 0.300 103 (75) 20 0.600 0.900 0.300 55 (45)

27.5 0.600 1.200 0.600 104 (83) 20 0.600 1.200 0.600 51 (42)

27.5 0.600 1.500 0.900 108 (92) 20 0.600 1.500 0.900 49 (41)

27.5 0.600 1.800 1.200 114 (102) 20 0.600 1.800 1.200 48 (40)

27.5 0.600 2.100 1.500 121 (113) 20 0.600 2.100 1.500 47 (39)

27.5 0.600 2.400 1.800 128 (124) 20 0.600 2.400 1.800 47 (39)

27.5 0.600 2.700 2.100 135 (136) 20 0.600 2.700 2.100 46 (38)

27.5 0.600 3.000 2.400 143 (147) 20 0.600 3.000 2.400 46 (38)

27.5 0.600 3.300 2.700 151 (159) 20 0.600 3.300 2.700 46 (38)

27.5 0.600 3.600 3.000 159 (171) 20 0.600 3.600 3.000 45 (38)

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27.5 0.600 6.600 6.000 242 (291) 20 0.600 6.600 6.000 44 (37)

27.5 0.600 9.600 9.000 326 (411) 20 0.600 9.600 9.000 44 (36)

27.5 0.600 12.600 12.000 410 (532) 20 0.600 12.600 12.000 43 (36)

27.5 0.900 0.000 0.300 109 (78) 20 0.900 0.000 0.300 58 (48)

27.5 0.900 0.000 0.600 109 (82) 20 0.900 0.000 0.600 53 (44)

27.5 0.900 0.000 0.900 110 (87) 20 0.900 0.000 0.900 51 (42)

27.5 0.900 0.000 1.200 113 (94) 20 0.900 0.000 1.200 49 (41)

27.5 0.900 0.000 1.500 116 (101) 20 0.900 0.000 1.500 48 (40)

27.5 0.900 0.000 1.800 120 (108) 20 0.900 0.000 1.800 48 (40)

27.5 0.900 0.000 2.100 125 (116) 20 0.900 0.000 2.100 47 (39)

27.5 0.900 0.000 2.400 130 (123) 20 0.900 0.000 2.400 47 (39)

27.5 0.900 0.000 2.700 135 (131) 20 0.900 0.000 2.700 47 (39)

27.5 0.900 0.000 3.000 140 (139) 20 0.900 0.000 3.000 46 (39)

27.5 0.900 0.000 6.000 197 (223) 20 0.900 0.000 6.000 45 (37)

27.5 0.900 0.000 9.000 256 (307) 20 0.900 0.000 9.000 44 (37)

27.5 0.900 0.000 12.000 315 (392) 20 0.900 0.000 12.000 44 (36)

27.5 0.900 0.900 0.300 152 (107) 20 0.900 0.900 0.300 58 (48)

27.5 0.900 0.900 0.600 149 (109) 20 0.900 0.900 0.600 53 (44)

27.5 0.900 0.900 0.900 149 (113) 20 0.900 0.900 0.900 51 (42)

27.5 0.900 0.900 1.200 150 (119) 20 0.900 0.900 1.200 49 (41)

27.5 0.900 0.900 1.500 152 (125) 20 0.900 0.900 1.500 48 (40)

27.5 0.900 0.900 1.800 156 (132) 20 0.900 0.900 1.800 48 (40)

27.5 0.900 0.900 2.100 160 (139) 20 0.900 0.900 2.100 47 (39)

27.5 0.900 0.900 2.400 164 (146) 20 0.900 0.900 2.400 47 (39)

27.5 0.900 0.900 2.700 169 (154) 20 0.900 0.900 2.700 47 (39)

27.5 0.900 0.900 3.000 174 (162) 20 0.900 0.900 3.000 46 (39)

27.5 0.900 0.900 6.000 229 (244) 20 0.900 0.900 6.000 45 (37)

27.5 0.900 0.900 9.000 287 (328) 20 0.900 0.900 9.000 44 (37)

27.5 0.900 0.900 12.000 346 (413) 20 0.900 0.900 12.000 44 (36)

27.5 0.900 1.200 0.300 155 (110) 20 0.900 1.200 0.300 58 (48)

27.5 0.900 1.500 0.600 154 (116) 20 0.900 1.500 0.600 53 (44)

27.5 0.900 1.800 0.900 156 (124) 20 0.900 1.800 0.900 51 (42)

27.5 0.900 2.100 1.200 160 (133) 20 0.900 2.100 1.200 49 (41)

27.5 0.900 2.400 1.500 165 (143) 20 0.900 2.400 1.500 48 (40)

27.5 0.900 2.700 1.800 171 (153) 20 0.900 2.700 1.800 48 (40)

27.5 0.900 3.000 2.100 177 (164) 20 0.900 3.000 2.100 47 (39)

27.5 0.900 3.300 2.400 184 (175) 20 0.900 3.300 2.400 47 (39)

27.5 0.900 3.600 2.700 192 (186) 20 0.900 3.600 2.700 47 (39)

27.5 0.900 3.900 3.000 199 (198) 20 0.900 3.900 3.000 46 (39)

27.5 0.900 6.900 6.000 279 (316) 20 0.900 6.900 6.000 45 (37)

27.5 0.900 9.900 9.000 362 (436) 20 0.900 9.900 9.000 44 (37)

27.5 0.900 12.900 12.000 446 (556) 20 0.900 12.900 12.000 44 (36)

27.5 1.200 0.000 0.300 146 (102) 20 1.200 0.000 0.300 60 (50)

27.5 1.200 0.000 0.600 145 (106) 20 1.200 0.000 0.600 55 (45)

27.5 1.200 0.000 0.900 145 (111) 20 1.200 0.000 0.900 52 (43)

27.5 1.200 0.000 1.200 147 (117) 20 1.200 0.000 1.200 51 (42)

27.5 1.200 0.000 1.500 149 (123) 20 1.200 0.000 1.500 50 (41)

27.5 1.200 0.000 1.800 153 (129) 20 1.200 0.000 1.800 49 (41)

27.5 1.200 0.000 2.100 156 (137) 20 1.200 0.000 2.100 48 (40)

27.5 1.200 0.000 2.400 161 (144) 20 1.200 0.000 2.400 48 (40)

27.5 1.200 0.000 2.700 165 (151) 20 1.200 0.000 2.700 47 (40)

27.5 1.200 0.000 3.000 170 (159) 20 1.200 0.000 3.000 47 (39)

27.5 1.200 0.000 6.000 224 (241) 20 1.200 0.000 6.000 45 (38)

27.5 1.200 0.000 9.000 282 (325) 20 1.200 0.000 9.000 45 (37)

27.5 1.200 0.000 12.000 341 (410) 20 1.200 0.000 12.000 44 (37)

27.5 1.200 1.200 0.300 204 (142) 20 1.200 1.200 0.300 60 (50)

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27.5 1.200 1.200 0.600 200 (144) 20 1.200 1.200 0.600 55 (45)

27.5 1.200 1.200 0.900 198 (147) 20 1.200 1.200 0.900 52 (43)

27.5 1.200 1.200 1.200 198 (151) 20 1.200 1.200 1.200 51 (42)

27.5 1.200 1.200 1.500 199 (156) 20 1.200 1.200 1.500 50 (41)

27.5 1.200 1.200 1.800 201 (162) 20 1.200 1.200 1.800 49 (41)

27.5 1.200 1.200 2.100 204 (169) 20 1.200 1.200 2.100 48 (40)

27.5 1.200 1.200 2.400 208 (176) 20 1.200 1.200 2.400 48 (40)

27.5 1.200 1.200 2.700 212 (183) 20 1.200 1.200 2.700 47 (40)

27.5 1.200 1.200 3.000 216 (190) 20 1.200 1.200 3.000 47 (39)

27.5 1.200 1.200 6.000 268 (270) 20 1.200 1.200 6.000 45 (38)

27.5 1.200 1.200 9.000 325 (354) 20 1.200 1.200 9.000 45 (37)

27.5 1.200 1.200 12.000 383 (438) 20 1.200 1.200 12.000 44 (37)

27.5 1.200 1.500 0.300 207 (145) 20 1.200 1.500 0.300 60 (50)

27.5 1.200 1.800 0.600 205 (151) 20 1.200 1.800 0.600 55 (45)

27.5 1.200 2.100 0.900 206 (158) 20 1.200 2.100 0.900 52 (43)

27.5 1.200 2.400 1.200 208 (165) 20 1.200 2.400 1.200 51 (42)

27.5 1.200 2.700 1.500 212 (174) 20 1.200 2.700 1.500 50 (41)

27.5 1.200 3.000 1.800 216 (184) 20 1.200 3.000 1.800 49 (41)

27.5 1.200 3.300 2.100 222 (194) 20 1.200 3.300 2.100 48 (40)

27.5 1.200 3.600 2.400 228 (204) 20 1.200 3.600 2.400 48 (40)

27.5 1.200 3.900 2.700 234 (215) 20 1.200 3.900 2.700 47 (40)

27.5 1.200 4.200 3.000 241 (226) 20 1.200 4.200 3.000 47 (39)

27.5 1.200 7.200 6.000 318 (342) 20 1.200 7.200 6.000 45 (38)

27.5 1.200 10.200 9.000 400 (461) 20 1.200 10.200 9.000 45 (37)

27.5 1.200 13.200 12.000 483 (581) 20 1.200 13.200 12.000 44 (37)

30.0 0.000 0.000 0.300 9 (13) 50 0.000 0.000 0.300 103 (86)

30.0 0.000 0.000 0.600 18 (25) 50 0.000 0.000 0.600 103 (86)

30.0 0.000 0.000 0.900 27 (38) 50 0.000 0.000 0.900 103 (86)

30.0 0.000 0.000 1.200 36 (51) 50 0.000 0.000 1.200 103 (86)

30.0 0.000 0.000 1.500 45 (64) 50 0.000 0.000 1.500 103 (86)

30.0 0.000 0.000 1.800 54 (76) 50 0.000 0.000 1.800 103 (86)

30.0 0.000 0.000 2.100 62 (89) 50 0.000 0.000 2.100 103 (86)

30.0 0.000 0.000 2.400 71 (102) 50 0.000 0.000 2.400 103 (86)

30.0 0.000 0.000 2.700 80 (115) 50 0.000 0.000 2.700 103 (86)

30.0 0.000 0.000 3.000 89 (127) 50 0.000 0.000 3.000 103 (86)

30.0 0.000 0.000 6.000 178 (255) 50 0.000 0.000 6.000 103 (86)

30.0 0.000 0.000 9.000 268 (382) 50 0.000 0.000 9.000 103 (86)

30.0 0.000 0.000 12.000 357 (510) 50 0.000 0.000 12.000 103 (86)

30.0 0.000 0.000 0.300 9 (13) 50 0.000 0.000 0.300 103 (86)

30.0 0.000 0.000 0.600 18 (25) 50 0.000 0.000 0.600 103 (86)

30.0 0.000 0.000 0.900 27 (38) 50 0.000 0.000 0.900 103 (86)

30.0 0.000 0.000 1.200 36 (51) 50 0.000 0.000 1.200 103 (86)

30.0 0.000 0.000 1.500 45 (64) 50 0.000 0.000 1.500 103 (86)

30.0 0.000 0.000 1.800 54 (76) 50 0.000 0.000 1.800 103 (86)

30.0 0.000 0.000 2.100 62 (89) 50 0.000 0.000 2.100 103 (86)

30.0 0.000 0.000 2.400 71 (102) 50 0.000 0.000 2.400 103 (86)

30.0 0.000 0.000 2.700 80 (115) 50 0.000 0.000 2.700 103 (86)

30.0 0.000 0.000 3.000 89 (127) 50 0.000 0.000 3.000 103 (86)

30.0 0.000 0.000 6.000 178 (255) 50 0.000 0.000 6.000 103 (86)

30.0 0.000 0.000 9.000 268 (382) 50 0.000 0.000 9.000 103 (86)

30.0 0.000 0.000 12.000 357 (510) 50 0.000 0.000 12.000 103 (86)

30.0 0.000 0.300 0.300 13 (18) 50 0.000 0.300 0.300 103 (86)

30.0 0.000 0.600 0.600 25 (36) 50 0.000 0.600 0.600 103 (86)

30.0 0.000 0.900 0.900 38 (54) 50 0.000 0.900 0.900 103 (86)

30.0 0.000 1.200 1.200 51 (72) 50 0.000 1.200 1.200 103 (86)

30.0 0.000 1.500 1.500 63 (90) 50 0.000 1.500 1.500 103 (86)

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30.0 0.000 1.800 1.800 76 (109) 50 0.000 1.800 1.800 103 (86)

30.0 0.000 2.100 2.100 89 (127) 50 0.000 2.100 2.100 103 (86)

30.0 0.000 2.400 2.400 101 (145) 50 0.000 2.400 2.400 103 (86)

30.0 0.000 2.700 2.700 114 (163) 50 0.000 2.700 2.700 103 (86)

30.0 0.000 3.000 3.000 127 (181) 50 0.000 3.000 3.000 103 (86)

30.0 0.000 6.000 6.000 253 (362) 50 0.000 6.000 6.000 103 (86)

30.0 0.000 9.000 9.000 380 (543) 50 0.000 9.000 9.000 103 (86)

30.0 0.000 12.000 12.000 506 (723) 50 0.000 12.000 12.000 103 (86)

30.0 0.300 0.000 0.300 51 (40) 50 0.300 0.000 0.300 127 (105)

30.0 0.300 0.000 0.600 56 (51) 50 0.300 0.000 0.600 120 (100)

30.0 0.300 0.000 0.900 64 (62) 50 0.300 0.000 0.900 116 (97)

30.0 0.300 0.000 1.200 72 (75) 50 0.300 0.000 1.200 115 (96)

30.0 0.300 0.000 1.500 80 (87) 50 0.300 0.000 1.500 113 (95)

30.0 0.300 0.000 1.800 89 (100) 50 0.300 0.000 1.800 112 (94)

30.0 0.300 0.000 2.100 98 (112) 50 0.300 0.000 2.100 112 (93)

30.0 0.300 0.000 2.400 106 (125) 50 0.300 0.000 2.400 111 (93)

30.0 0.300 0.000 2.700 115 (138) 50 0.300 0.000 2.700 111 (92)

30.0 0.300 0.000 3.000 124 (150) 50 0.300 0.000 3.000 110 (92)

30.0 0.300 0.000 6.000 213 (277) 50 0.300 0.000 6.000 108 (90)

30.0 0.300 0.000 9.000 302 (405) 50 0.300 0.000 9.000 107 (89)

30.0 0.300 0.000 12.000 391 (532) 50 0.300 0.000 12.000 107 (89)

30.0 0.300 0.300 0.300 68 (52) 50 0.300 0.300 0.300 127 (105)

30.0 0.300 0.300 0.600 72 (61) 50 0.300 0.300 0.600 120 (100)

30.0 0.300 0.300 0.900 79 (73) 50 0.300 0.300 0.900 116 (97)

30.0 0.300 0.300 1.200 87 (85) 50 0.300 0.300 1.200 115 (96)

30.0 0.300 0.300 1.500 95 (97) 50 0.300 0.300 1.500 113 (95)

30.0 0.300 0.300 1.800 104 (109) 50 0.300 0.300 1.800 112 (94)

30.0 0.300 0.300 2.100 112 (122) 50 0.300 0.300 2.100 112 (93)

30.0 0.300 0.300 2.400 121 (135) 50 0.300 0.300 2.400 111 (93)

30.0 0.300 0.300 2.700 130 (147) 50 0.300 0.300 2.700 111 (92)

30.0 0.300 0.300 3.000 139 (160) 50 0.300 0.300 3.000 110 (92)

30.0 0.300 0.300 6.000 227 (287) 50 0.300 0.300 6.000 108 (90)

30.0 0.300 0.300 9.000 316 (414) 50 0.300 0.300 9.000 107 (89)

30.0 0.300 0.300 12.000 405 (542) 50 0.300 0.300 12.000 107 (89)

30.0 0.300 0.600 0.300 72 (57) 50 0.300 0.600 0.300 127 (105)

30.0 0.300 0.900 0.600 80 (72) 50 0.300 0.900 0.600 120 (100)

30.0 0.300 1.200 0.900 90 (89) 50 0.300 1.200 0.900 116 (97)

30.0 0.300 1.500 1.200 102 (106) 50 0.300 1.500 1.200 115 (96)

30.0 0.300 1.800 1.500 114 (124) 50 0.300 1.800 1.500 113 (95)

30.0 0.300 2.100 1.800 126 (141) 50 0.300 2.100 1.800 112 (94)

30.0 0.300 2.400 2.100 139 (159) 50 0.300 2.400 2.100 112 (93)

30.0 0.300 2.700 2.400 151 (177) 50 0.300 2.700 2.400 111 (93)

30.0 0.300 3.000 2.700 163 (195) 50 0.300 3.000 2.700 111 (92)

30.0 0.300 3.300 3.000 176 (213) 50 0.300 3.300 3.000 110 (92)

30.0 0.300 6.300 6.000 302 (393) 50 0.300 6.300 6.000 108 (90)

30.0 0.300 9.300 9.000 428 (574) 50 0.300 9.300 9.000 107 (89)

30.0 0.300 12.300 12.000 555 (755) 50 0.300 12.300 12.000 107 (89)

30.0 0.600 0.000 0.300 99 (72) 50 0.600 0.000 0.300 136 (114)

30.0 0.600 0.000 0.600 101 (80) 50 0.600 0.000 0.600 127 (105)

30.0 0.600 0.000 0.900 106 (90) 50 0.600 0.000 0.900 122 (102)

30.0 0.600 0.000 1.200 113 (101) 50 0.600 0.000 1.200 120 (100)

30.0 0.600 0.000 1.500 120 (113) 50 0.600 0.000 1.500 118 (98)

30.0 0.600 0.000 1.800 128 (125) 50 0.600 0.000 1.800 116 (97)

30.0 0.600 0.000 2.100 136 (137) 50 0.600 0.000 2.100 115 (96)

30.0 0.600 0.000 2.400 144 (149) 50 0.600 0.000 2.400 115 (96)

30.0 0.600 0.000 2.700 152 (162) 50 0.600 0.000 2.700 114 (95)

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30.0 0.600 0.000 3.000 161 (174) 50 0.600 0.000 3.000 113 (95)

30.0 0.600 0.000 6.000 248 (300) 50 0.600 0.000 6.000 110 (92)

30.0 0.600 0.000 9.000 337 (428) 50 0.600 0.000 9.000 109 (91)

30.0 0.600 0.000 12.000 425 (555) 50 0.600 0.000 12.000 108 (90)

30.0 0.600 0.600 0.300 136 (97) 50 0.600 0.600 0.300 136 (114)

30.0 0.600 0.600 0.600 136 (103) 50 0.600 0.600 0.600 127 (105)

30.0 0.600 0.600 0.900 139 (112) 50 0.600 0.600 0.900 122 (102)

30.0 0.600 0.600 1.200 145 (123) 50 0.600 0.600 1.200 120 (100)

30.0 0.600 0.600 1.500 151 (134) 50 0.600 0.600 1.500 118 (98)

30.0 0.600 0.600 1.800 159 (145) 50 0.600 0.600 1.800 116 (97)

30.0 0.600 0.600 2.100 166 (157) 50 0.600 0.600 2.100 115 (96)

30.0 0.600 0.600 2.400 174 (169) 50 0.600 0.600 2.400 115 (96)

30.0 0.600 0.600 2.700 182 (182) 50 0.600 0.600 2.700 114 (95)

30.0 0.600 0.600 3.000 191 (194) 50 0.600 0.600 3.000 113 (95)

30.0 0.600 0.600 6.000 277 (320) 50 0.600 0.600 6.000 110 (92)

30.0 0.600 0.600 9.000 365 (446) 50 0.600 0.600 9.000 109 (91)

30.0 0.600 0.600 12.000 454 (574) 50 0.600 0.600 12.000 108 (90)

30.0 0.600 0.900 0.300 140 (102) 50 0.600 0.900 0.300 136 (114)

30.0 0.600 1.200 0.600 144 (114) 50 0.600 1.200 0.600 127 (105)

30.0 0.600 1.500 0.900 151 (128) 50 0.600 1.500 0.900 122 (102)

30.0 0.600 1.800 1.200 160 (144) 50 0.600 1.800 1.200 120 (100)

30.0 0.600 2.100 1.500 170 (160) 50 0.600 2.100 1.500 118 (98)

30.0 0.600 2.400 1.800 181 (177) 50 0.600 2.400 1.800 116 (97)

30.0 0.600 2.700 2.100 192 (195) 50 0.600 2.700 2.100 115 (96)

30.0 0.600 3.000 2.400 204 (212) 50 0.600 3.000 2.400 115 (96)

30.0 0.600 3.300 2.700 216 (230) 50 0.600 3.300 2.700 114 (95)

30.0 0.600 3.600 3.000 228 (247) 50 0.600 3.600 3.000 113 (95)

30.0 0.600 6.600 6.000 352 (426) 50 0.600 6.600 6.000 110 (92)

30.0 0.600 9.600 9.000 477 (606) 50 0.600 9.600 9.000 109 (91)

30.0 0.600 12.600 12.000 604 (787) 50 0.600 12.600 12.000 108 (90)

30.0 0.900 0.000 0.300 148 (104) 50 0.900 0.000 0.300 144 (120)

30.0 0.900 0.000 0.600 149 (112) 50 0.900 0.000 0.600 132 (110)

30.0 0.900 0.000 0.900 152 (120) 50 0.900 0.000 0.900 127 (105)

30.0 0.900 0.000 1.200 156 (130) 50 0.900 0.000 1.200 123 (103)

30.0 0.900 0.000 1.500 162 (141) 50 0.900 0.000 1.500 121 (101)

30.0 0.900 0.000 1.800 169 (152) 50 0.900 0.000 1.800 120 (100)

30.0 0.900 0.000 2.100 176 (164) 50 0.900 0.000 2.100 118 (99)

30.0 0.900 0.000 2.400 184 (175) 50 0.900 0.000 2.400 117 (98)

30.0 0.900 0.000 2.700 191 (187) 50 0.900 0.000 2.700 116 (97)

30.0 0.900 0.000 3.000 199 (200) 50 0.900 0.000 3.000 116 (96)

30.0 0.900 0.000 6.000 284 (324) 50 0.900 0.000 6.000 112 (93)

30.0 0.900 0.000 9.000 372 (451) 50 0.900 0.000 9.000 110 (92)

30.0 0.900 0.000 12.000 461 (578) 50 0.900 0.000 12.000 109 (91)

30.0 0.900 0.900 0.300 206 (143) 50 0.900 0.900 0.300 144 (120)

30.0 0.900 0.900 0.600 204 (148) 50 0.900 0.900 0.600 132 (110)

30.0 0.900 0.900 0.900 204 (155) 50 0.900 0.900 0.900 127 (105)

30.0 0.900 0.900 1.200 207 (163) 50 0.900 0.900 1.200 123 (103)

30.0 0.900 0.900 1.500 212 (173) 50 0.900 0.900 1.500 121 (101)

30.0 0.900 0.900 1.800 217 (184) 50 0.900 0.900 1.800 120 (100)

30.0 0.900 0.900 2.100 224 (195) 50 0.900 0.900 2.100 118 (99)

30.0 0.900 0.900 2.400 230 (206) 50 0.900 0.900 2.400 117 (98)

30.0 0.900 0.900 2.700 238 (218) 50 0.900 0.900 2.700 116 (97)

30.0 0.900 0.900 3.000 245 (230) 50 0.900 0.900 3.000 116 (96)

30.0 0.900 0.900 6.000 329 (353) 50 0.900 0.900 6.000 112 (93)

30.0 0.900 0.900 9.000 416 (479) 50 0.900 0.900 9.000 110 (92)

30.0 0.900 0.900 12.000 504 (606) 50 0.900 0.900 12.000 109 (91)

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30.0 0.900 1.200 0.300 210 (148) 50 0.900 1.200 0.300 144 (120)

30.0 0.900 1.500 0.600 211 (158) 50 0.900 1.500 0.600 132 (110)

30.0 0.900 1.800 0.900 215 (171) 50 0.900 1.800 0.900 127 (105)

30.0 0.900 2.100 1.200 222 (185) 50 0.900 2.100 1.200 123 (103)

30.0 0.900 2.400 1.500 230 (200) 50 0.900 2.400 1.500 121 (101)

30.0 0.900 2.700 1.800 240 (216) 50 0.900 2.700 1.800 120 (100)

30.0 0.900 3.000 2.100 250 (232) 50 0.900 3.000 2.100 118 (99)

30.0 0.900 3.300 2.400 260 (249) 50 0.900 3.300 2.400 117 (98)

30.0 0.900 3.600 2.700 271 (266) 50 0.900 3.600 2.700 116 (97)

30.0 0.900 3.900 3.000 283 (283) 50 0.900 3.900 3.000 116 (96)

30.0 0.900 6.900 6.000 403 (460) 50 0.900 6.900 6.000 112 (93)

30.0 0.900 9.900 9.000 528 (639) 50 0.900 9.900 9.000 110 (92)

30.0 0.900 12.900 12.000 653 (819) 50 0.900 12.900 12.000 109 (91)

30.0 1.200 0.000 0.300 198 (137) 50 1.200 0.000 0.300 150 (125)

30.0 1.200 0.000 0.600 198 (144) 50 1.200 0.000 0.600 136 (114)

30.0 1.200 0.000 0.900 199 (152) 50 1.200 0.000 0.900 130 (108)

30.0 1.200 0.000 1.200 202 (161) 50 1.200 0.000 1.200 127 (105)

30.0 1.200 0.000 1.500 207 (170) 50 1.200 0.000 1.500 124 (103)

30.0 1.200 0.000 1.800 212 (181) 50 1.200 0.000 1.800 122 (102)

30.0 1.200 0.000 2.100 218 (192) 50 1.200 0.000 2.100 121 (101)

30.0 1.200 0.000 2.400 225 (203) 50 1.200 0.000 2.400 120 (100)

30.0 1.200 0.000 2.700 232 (214) 50 1.200 0.000 2.700 119 (99)

30.0 1.200 0.000 3.000 240 (226) 50 1.200 0.000 3.000 118 (98)

30.0 1.200 0.000 6.000 322 (349) 50 1.200 0.000 6.000 113 (95)

30.0 1.200 0.000 9.000 408 (474) 50 1.200 0.000 9.000 111 (93)

30.0 1.200 0.000 12.000 496 (601) 50 1.200 0.000 12.000 110 (92)

30.0 1.200 1.200 0.300 277 (189) 50 1.200 1.200 0.300 150 (125)

30.0 1.200 1.200 0.600 273 (193) 50 1.200 1.200 0.600 136 (114)

30.0 1.200 1.200 0.900 272 (199) 50 1.200 1.200 0.900 130 (108)

30.0 1.200 1.200 1.200 272 (206) 50 1.200 1.200 1.200 127 (105)

30.0 1.200 1.200 1.500 275 (215) 50 1.200 1.200 1.500 124 (103)

30.0 1.200 1.200 1.800 279 (224) 50 1.200 1.200 1.800 122 (102)

30.0 1.200 1.200 2.100 284 (234) 50 1.200 1.200 2.100 121 (101)

30.0 1.200 1.200 2.400 290 (245) 50 1.200 1.200 2.400 120 (100)

30.0 1.200 1.200 2.700 296 (256) 50 1.200 1.200 2.700 119 (99)

30.0 1.200 1.200 3.000 303 (267) 50 1.200 1.200 3.000 118 (98)

30.0 1.200 1.200 6.000 381 (388) 50 1.200 1.200 6.000 113 (95)

30.0 1.200 1.200 9.000 467 (513) 50 1.200 1.200 9.000 111 (93)

30.0 1.200 1.200 12.000 554 (639) 50 1.200 1.200 12.000 110 (92)

30.0 1.200 1.500 0.300 280 (194) 50 1.200 1.500 0.300 150 (125)

30.0 1.200 1.800 0.600 280 (204) 50 1.200 1.800 0.600 136 (114)

30.0 1.200 2.100 0.900 283 (215) 50 1.200 2.100 0.900 130 (108)

30.0 1.200 2.400 1.200 287 (228) 50 1.200 2.400 1.200 127 (105)

30.0 1.200 2.700 1.500 294 (242) 50 1.200 2.700 1.500 124 (103)

30.0 1.200 3.000 1.800 301 (256) 50 1.200 3.000 1.800 122 (102)

30.0 1.200 3.300 2.100 310 (272) 50 1.200 3.300 2.100 121 (101)

30.0 1.200 3.600 2.400 319 (288) 50 1.200 3.600 2.400 120 (100)

30.0 1.200 3.900 2.700 329 (304) 50 1.200 3.900 2.700 119 (99)

30.0 1.200 4.200 3.000 340 (321) 50 1.200 4.200 3.000 118 (98)

30.0 1.200 7.200 6.000 456 (495) 50 1.200 7.200 6.000 113 (95)

30.0 1.200 10.200 9.000 579 (673) 50 1.200 10.200 9.000 111 (93)

30.0 1.200 13.200 12.000 704 (852) 50 1.200 13.200 12.000 110 (92)

32.5 0.000 0.000 0.300 13 (19) 85 0.000 0.000 0.300 175 (146)

32.5 0.000 0.000 0.600 27 (38) 85 0.000 0.000 0.600 175 (146)

32.5 0.000 0.000 0.900 40 (57) 85 0.000 0.000 0.900 175 (146)

32.5 0.000 0.000 1.200 53 (76) 85 0.000 0.000 1.200 175 (146)

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32.5 0.000 0.000 1.500 67 (95) 85 0.000 0.000 1.500 175 (146)

32.5 0.000 0.000 1.800 80 (114) 85 0.000 0.000 1.800 175 (146)

32.5 0.000 0.000 2.100 93 (133) 85 0.000 0.000 2.100 175 (146)

32.5 0.000 0.000 2.400 107 (153) 85 0.000 0.000 2.400 175 (146)

32.5 0.000 0.000 2.700 120 (172) 85 0.000 0.000 2.700 175 (146)

32.5 0.000 0.000 3.000 133 (191) 85 0.000 0.000 3.000 175 (146)

32.5 0.000 0.000 6.000 267 (381) 85 0.000 0.000 6.000 175 (146)

32.5 0.000 0.000 9.000 400 (572) 85 0.000 0.000 9.000 175 (146)

32.5 0.000 0.000 12.000 534 (763) 85 0.000 0.000 12.000 175 (146)

32.5 0.000 0.000 0.300 13 (19) 85 0.000 0.000 0.300 175 (146)

32.5 0.000 0.000 0.600 27 (38) 85 0.000 0.000 0.600 175 (146)

32.5 0.000 0.000 0.900 40 (57) 85 0.000 0.000 0.900 175 (146)

32.5 0.000 0.000 1.200 53 (76) 85 0.000 0.000 1.200 175 (146)

32.5 0.000 0.000 1.500 67 (95) 85 0.000 0.000 1.500 175 (146)

32.5 0.000 0.000 1.800 80 (114) 85 0.000 0.000 1.800 175 (146)

32.5 0.000 0.000 2.100 93 (133) 85 0.000 0.000 2.100 175 (146)

32.5 0.000 0.000 2.400 107 (153) 85 0.000 0.000 2.400 175 (146)

32.5 0.000 0.000 2.700 120 (172) 85 0.000 0.000 2.700 175 (146)

32.5 0.000 0.000 3.000 133 (191) 85 0.000 0.000 3.000 175 (146)

32.5 0.000 0.000 6.000 267 (381) 85 0.000 0.000 6.000 175 (146)

32.5 0.000 0.000 9.000 400 (572) 85 0.000 0.000 9.000 175 (146)

32.5 0.000 0.000 12.000 534 (763) 85 0.000 0.000 12.000 175 (146)

32.5 0.000 0.300 0.300 19 (27) 85 0.000 0.300 0.300 175 (146)

32.5 0.000 0.600 0.600 38 (54) 85 0.000 0.600 0.600 175 (146)

32.5 0.000 0.900 0.900 57 (81) 85 0.000 0.900 0.900 175 (146)

32.5 0.000 1.200 1.200 76 (108) 85 0.000 1.200 1.200 175 (146)

32.5 0.000 1.500 1.500 95 (135) 85 0.000 1.500 1.500 175 (146)

32.5 0.000 1.800 1.800 114 (162) 85 0.000 1.800 1.800 175 (146)

32.5 0.000 2.100 2.100 133 (189) 85 0.000 2.100 2.100 175 (146)

32.5 0.000 2.400 2.400 151 (216) 85 0.000 2.400 2.400 175 (146)

32.5 0.000 2.700 2.700 170 (243) 85 0.000 2.700 2.700 175 (146)

32.5 0.000 3.000 3.000 189 (270) 85 0.000 3.000 3.000 175 (146)

32.5 0.000 6.000 6.000 379 (541) 85 0.000 6.000 6.000 175 (146)

32.5 0.000 9.000 9.000 568 (811) 85 0.000 9.000 9.000 175 (146)

32.5 0.000 12.000 12.000 757 (1082) 85 0.000 12.000 12.000 175 (146)

32.5 0.300 0.000 0.300 70 (56) 85 0.300 0.000 0.300 215 (179)

32.5 0.300 0.000 0.600 79 (72) 85 0.300 0.000 0.600 203 (169)

32.5 0.300 0.000 0.900 91 (90) 85 0.300 0.000 0.900 198 (165)

32.5 0.300 0.000 1.200 103 (108) 85 0.300 0.000 1.200 195 (162)

32.5 0.300 0.000 1.500 116 (127) 85 0.300 0.000 1.500 193 (161)

32.5 0.300 0.000 1.800 129 (146) 85 0.300 0.000 1.800 191 (159)

32.5 0.300 0.000 2.100 142 (165) 85 0.300 0.000 2.100 190 (158)

32.5 0.300 0.000 2.400 155 (184) 85 0.300 0.000 2.400 189 (158)

32.5 0.300 0.000 2.700 168 (202) 85 0.300 0.000 2.700 188 (157)

32.5 0.300 0.000 3.000 181 (221) 85 0.300 0.000 3.000 188 (156)

32.5 0.300 0.000 6.000 314 (412) 85 0.300 0.000 6.000 184 (153)

32.5 0.300 0.000 9.000 448 (602) 85 0.300 0.000 9.000 182 (152)

32.5 0.300 0.000 12.000 581 (793) 85 0.300 0.000 12.000 181 (151)

32.5 0.300 0.300 0.300 94 (71) 85 0.300 0.300 0.300 215 (179)

32.5 0.300 0.300 0.600 102 (86) 85 0.300 0.300 0.600 203 (169)

32.5 0.300 0.300 0.900 112 (104) 85 0.300 0.300 0.900 198 (165)

32.5 0.300 0.300 1.200 124 (122) 85 0.300 0.300 1.200 195 (162)

32.5 0.300 0.300 1.500 137 (140) 85 0.300 0.300 1.500 193 (161)

32.5 0.300 0.300 1.800 149 (159) 85 0.300 0.300 1.800 191 (159)

32.5 0.300 0.300 2.100 162 (178) 85 0.300 0.300 2.100 190 (158)

32.5 0.300 0.300 2.400 175 (196) 85 0.300 0.300 2.400 189 (158)

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32.5 0.300 0.300 2.700 188 (215) 85 0.300 0.300 2.700 188 (157)

32.5 0.300 0.300 3.000 202 (234) 85 0.300 0.300 3.000 188 (156)

32.5 0.300 0.300 6.000 334 (424) 85 0.300 0.300 6.000 184 (153)

32.5 0.300 0.300 9.000 467 (615) 85 0.300 0.300 9.000 182 (152)

32.5 0.300 0.300 12.000 601 (805) 85 0.300 0.300 12.000 181 (151)

32.5 0.300 0.600 0.300 100 (79) 85 0.300 0.600 0.300 215 (179)

32.5 0.300 0.900 0.600 113 (102) 85 0.300 0.900 0.600 203 (169)

32.5 0.300 1.200 0.900 129 (127) 85 0.300 1.200 0.900 198 (165)

32.5 0.300 1.500 1.200 147 (154) 85 0.300 1.500 1.200 195 (162)

32.5 0.300 1.800 1.500 165 (180) 85 0.300 1.800 1.500 193 (161)

32.5 0.300 2.100 1.800 183 (207) 85 0.300 2.100 1.800 191 (159)

32.5 0.300 2.400 2.100 201 (233) 85 0.300 2.400 2.100 190 (158)

32.5 0.300 2.700 2.400 220 (260) 85 0.300 2.700 2.400 189 (158)

32.5 0.300 3.000 2.700 239 (287) 85 0.300 3.000 2.700 188 (157)

32.5 0.300 3.300 3.000 257 (314) 85 0.300 3.300 3.000 188 (156)

32.5 0.300 6.300 6.000 446 (584) 85 0.300 6.300 6.000 184 (153)

32.5 0.300 9.300 9.000 635 (854) 85 0.300 9.300 9.000 182 (152)

32.5 0.300 12.300 12.000 824 (1125) 85 0.300 12.300 12.000 181 (151)

32.5 0.600 0.000 0.300 136 (98) 85 0.600 0.000 0.300 232 (193)

32.5 0.600 0.000 0.600 141 (111) 85 0.600 0.000 0.600 215 (179)

32.5 0.600 0.000 0.900 149 (127) 85 0.600 0.000 0.900 208 (173)

32.5 0.600 0.000 1.200 159 (144) 85 0.600 0.000 1.200 203 (169)

32.5 0.600 0.000 1.500 170 (162) 85 0.600 0.000 1.500 200 (167)

32.5 0.600 0.000 1.800 182 (180) 85 0.600 0.000 1.800 198 (165)

32.5 0.600 0.000 2.100 194 (198) 85 0.600 0.000 2.100 196 (164)

32.5 0.600 0.000 2.400 207 (217) 85 0.600 0.000 2.400 195 (162)

32.5 0.600 0.000 2.700 219 (235) 85 0.600 0.000 2.700 194 (161)

32.5 0.600 0.000 3.000 232 (254) 85 0.600 0.000 3.000 193 (161)

32.5 0.600 0.000 6.000 363 (443) 85 0.600 0.000 6.000 188 (156)

32.5 0.600 0.000 9.000 496 (633) 85 0.600 0.000 9.000 185 (154)

32.5 0.600 0.000 12.000 629 (823) 85 0.600 0.000 12.000 184 (153)

32.5 0.600 0.600 0.300 187 (131) 85 0.600 0.600 0.300 232 (193)

32.5 0.600 0.600 0.600 188 (142) 85 0.600 0.600 0.600 215 (179)

32.5 0.600 0.600 0.900 194 (156) 85 0.600 0.600 0.900 208 (173)

32.5 0.600 0.600 1.200 203 (172) 85 0.600 0.600 1.200 203 (169)

32.5 0.600 0.600 1.500 213 (189) 85 0.600 0.600 1.500 200 (167)

32.5 0.600 0.600 1.800 224 (207) 85 0.600 0.600 1.800 198 (165)

32.5 0.600 0.600 2.100 236 (225) 85 0.600 0.600 2.100 196 (164)

32.5 0.600 0.600 2.400 248 (243) 85 0.600 0.600 2.400 195 (162)

32.5 0.600 0.600 2.700 261 (262) 85 0.600 0.600 2.700 194 (161)

32.5 0.600 0.600 3.000 273 (280) 85 0.600 0.600 3.000 193 (161)

32.5 0.600 0.600 6.000 403 (469) 85 0.600 0.600 6.000 188 (156)

32.5 0.600 0.600 9.000 535 (659) 85 0.600 0.600 9.000 185 (154)

32.5 0.600 0.600 12.000 668 (849) 85 0.600 0.600 12.000 184 (153)

32.5 0.600 0.900 0.300 192 (139) 85 0.600 0.900 0.300 232 (193)

32.5 0.600 1.200 0.600 199 (158) 85 0.600 1.200 0.600 215 (179)

32.5 0.600 1.500 0.900 211 (180) 85 0.600 1.500 0.900 208 (173)

32.5 0.600 1.800 1.200 225 (204) 85 0.600 1.800 1.200 203 (169)

32.5 0.600 2.100 1.500 241 (229) 85 0.600 2.100 1.500 200 (167)

32.5 0.600 2.400 1.800 258 (255) 85 0.600 2.400 1.800 198 (165)

32.5 0.600 2.700 2.100 275 (281) 85 0.600 2.700 2.100 196 (164)

32.5 0.600 3.000 2.400 293 (307) 85 0.600 3.000 2.400 195 (162)

32.5 0.600 3.300 2.700 311 (334) 85 0.600 3.300 2.700 194 (161)

32.5 0.600 3.600 3.000 329 (360) 85 0.600 3.600 3.000 193 (161)

32.5 0.600 6.600 6.000 515 (628) 85 0.600 6.600 6.000 188 (156)

32.5 0.600 9.600 9.000 703 (898) 85 0.600 9.600 9.000 185 (154)

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32.5 0.600 12.600 12.000 892 (1168) 85 0.600 12.600 12.000 184 (153)

32.5 0.900 0.000 0.300 202 (141) 85 0.900 0.000 0.300 245 (204)

32.5 0.900 0.000 0.600 205 (153) 85 0.900 0.000 0.600 224 (187)

32.5 0.900 0.000 0.900 211 (167) 85 0.900 0.000 0.900 215 (179)

32.5 0.900 0.000 1.200 219 (182) 85 0.900 0.000 1.200 210 (175)

32.5 0.900 0.000 1.500 228 (199) 85 0.900 0.000 1.500 206 (172)

32.5 0.900 0.000 1.800 238 (216) 85 0.900 0.000 1.800 203 (169)

32.5 0.900 0.000 2.100 249 (234) 85 0.900 0.000 2.100 201 (168)

32.5 0.900 0.000 2.400 261 (251) 85 0.900 0.000 2.400 199 (166)

32.5 0.900 0.000 2.700 273 (270) 85 0.900 0.000 2.700 198 (165)

32.5 0.900 0.000 3.000 285 (288) 85 0.900 0.000 3.000 197 (164)

32.5 0.900 0.000 6.000 413 (475) 85 0.900 0.000 6.000 190 (159)

32.5 0.900 0.000 9.000 544 (664) 85 0.900 0.000 9.000 188 (156)

32.5 0.900 0.000 12.000 677 (854) 85 0.900 0.000 12.000 186 (155)

32.5 0.900 0.900 0.300 282 (192) 85 0.900 0.900 0.300 245 (204)

32.5 0.900 0.900 0.600 280 (201) 85 0.900 0.900 0.600 224 (187)

32.5 0.900 0.900 0.900 282 (213) 85 0.900 0.900 0.900 215 (179)

32.5 0.900 0.900 1.200 288 (227) 85 0.900 0.900 1.200 210 (175)

32.5 0.900 0.900 1.500 296 (242) 85 0.900 0.900 1.500 206 (172)

32.5 0.900 0.900 1.800 305 (259) 85 0.900 0.900 1.800 203 (169)

32.5 0.900 0.900 2.100 315 (275) 85 0.900 0.900 2.100 201 (168)

32.5 0.900 0.900 2.400 325 (293) 85 0.900 0.900 2.400 199 (166)

32.5 0.900 0.900 2.700 337 (311) 85 0.900 0.900 2.700 198 (165)

32.5 0.900 0.900 3.000 348 (329) 85 0.900 0.900 3.000 197 (164)

32.5 0.900 0.900 6.000 474 (514) 85 0.900 0.900 6.000 190 (159)

32.5 0.900 0.900 9.000 605 (703) 85 0.900 0.900 9.000 188 (156)

32.5 0.900 0.900 12.000 737 (893) 85 0.900 0.900 12.000 186 (155)

32.5 0.900 1.200 0.300 287 (200) 85 0.900 1.200 0.300 245 (204)

32.5 0.900 1.500 0.600 291 (217) 85 0.900 1.500 0.600 224 (187)

32.5 0.900 1.800 0.900 299 (237) 85 0.900 1.800 0.900 215 (179)

32.5 0.900 2.100 1.200 310 (259) 85 0.900 2.100 1.200 210 (175)

32.5 0.900 2.400 1.500 323 (282) 85 0.900 2.400 1.500 206 (172)

32.5 0.900 2.700 1.800 338 (306) 85 0.900 2.700 1.800 203 (169)

32.5 0.900 3.000 2.100 354 (331) 85 0.900 3.000 2.100 201 (168)

32.5 0.900 3.300 2.400 370 (357) 85 0.900 3.300 2.400 199 (166)

32.5 0.900 3.600 2.700 387 (382) 85 0.900 3.600 2.700 198 (165)

32.5 0.900 3.900 3.000 404 (408) 85 0.900 3.900 3.000 197 (164)

32.5 0.900 6.900 6.000 586 (674) 85 0.900 6.900 6.000 190 (159)

32.5 0.900 9.900 9.000 772 (942) 85 0.900 9.900 9.000 188 (156)

32.5 0.900 12.900 12.000 960 (1212) 85 0.900 12.900 12.000 186 (155)

32.5 1.200 0.000 0.300 269 (184) 85 1.200 0.000 0.300 255 (213)

32.5 1.200 0.000 0.600 271 (196) 85 1.200 0.000 0.600 232 (193)

32.5 1.200 0.000 0.900 275 (208) 85 1.200 0.000 0.900 221 (184)

32.5 1.200 0.000 1.200 281 (223) 85 1.200 0.000 1.200 215 (179)

32.5 1.200 0.000 1.500 289 (238) 85 1.200 0.000 1.500 211 (176)

32.5 1.200 0.000 1.800 298 (254) 85 1.200 0.000 1.800 208 (173)

32.5 1.200 0.000 2.100 307 (271) 85 1.200 0.000 2.100 205 (171)

32.5 1.200 0.000 2.400 318 (288) 85 1.200 0.000 2.400 203 (169)

32.5 1.200 0.000 2.700 329 (306) 85 1.200 0.000 2.700 202 (168)

32.5 1.200 0.000 3.000 340 (323) 85 1.200 0.000 3.000 200 (167)

32.5 1.200 0.000 6.000 464 (508) 85 1.200 0.000 6.000 193 (161)

32.5 1.200 0.000 9.000 594 (696) 85 1.200 0.000 9.000 190 (158)

32.5 1.200 0.000 12.000 726 (886) 85 1.200 0.000 12.000 188 (156)

32.5 1.200 1.200 0.300 377 (253) 85 1.200 1.200 0.300 255 (213)

32.5 1.200 1.200 0.600 374 (261) 85 1.200 1.200 0.600 232 (193)

32.5 1.200 1.200 0.900 374 (272) 85 1.200 1.200 0.900 221 (184)

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32.5 1.200 1.200 1.200 377 (284) 85 1.200 1.200 1.200 215 (179)

32.5 1.200 1.200 1.500 382 (298) 85 1.200 1.200 1.500 211 (176)

32.5 1.200 1.200 1.800 389 (313) 85 1.200 1.200 1.800 208 (173)

32.5 1.200 1.200 2.100 397 (328) 85 1.200 1.200 2.100 205 (171)

32.5 1.200 1.200 2.400 406 (345) 85 1.200 1.200 2.400 203 (169)

32.5 1.200 1.200 2.700 416 (362) 85 1.200 1.200 2.700 202 (168)

32.5 1.200 1.200 3.000 427 (379) 85 1.200 1.200 3.000 200 (167)

32.5 1.200 1.200 6.000 547 (561) 85 1.200 1.200 6.000 193 (161)

32.5 1.200 1.200 9.000 675 (748) 85 1.200 1.200 9.000 190 (158)

32.5 1.200 1.200 12.000 806 (937) 85 1.200 1.200 12.000 188 (156)

32.5 1.200 1.500 0.300 382 (261) 85 1.200 1.500 0.300 255 (213)

32.5 1.200 1.800 0.600 385 (277) 85 1.200 1.800 0.600 232 (193)

32.5 1.200 2.100 0.900 391 (296) 85 1.200 2.100 0.900 221 (184)

32.5 1.200 2.400 1.200 399 (316) 85 1.200 2.400 1.200 215 (179)

32.5 1.200 2.700 1.500 410 (338) 85 1.200 2.700 1.500 211 (176)

32.5 1.200 3.000 1.800 422 (360) 85 1.200 3.000 1.800 208 (173)

32.5 1.200 3.300 2.100 436 (384) 85 1.200 3.300 2.100 205 (171)

32.5 1.200 3.600 2.400 451 (409) 85 1.200 3.600 2.400 203 (169)

32.5 1.200 3.900 2.700 466 (433) 85 1.200 3.900 2.700 202 (168)

32.5 1.200 4.200 3.000 482 (459) 85 1.200 4.200 3.000 200 (167)

32.5 1.200 7.200 6.000 658 (720) 85 1.200 7.200 6.000 193 (161)

32.5 1.200 10.200 9.000 843 (988) 85 1.200 10.200 9.000 190 (158)

32.5 1.200 13.200 12.000 1030 (1256) 85 1.200 13.200 12.000 188 (156)

35.0 0.000 0.000 0.300 20 (29) 130 0.000 0.000 0.300 267 (223)

35.0 0.000 0.000 0.600 40 (57) 130 0.000 0.000 0.600 267 (223)

35.0 0.000 0.000 0.900 60 (86) 130 0.000 0.000 0.900 267 (223)

35.0 0.000 0.000 1.200 80 (115) 130 0.000 0.000 1.200 267 (223)

35.0 0.000 0.000 1.500 100 (143) 130 0.000 0.000 1.500 267 (223)

35.0 0.000 0.000 1.800 121 (172) 130 0.000 0.000 1.800 267 (223)

35.0 0.000 0.000 2.100 141 (201) 130 0.000 0.000 2.100 267 (223)

35.0 0.000 0.000 2.400 161 (230) 130 0.000 0.000 2.400 267 (223)

35.0 0.000 0.000 2.700 181 (258) 130 0.000 0.000 2.700 267 (223)

35.0 0.000 0.000 3.000 201 (287) 130 0.000 0.000 3.000 267 (223)

35.0 0.000 0.000 6.000 402 (574) 130 0.000 0.000 6.000 267 (223)

35.0 0.000 0.000 9.000 603 (861) 130 0.000 0.000 9.000 267 (223)

35.0 0.000 0.000 12.000 804 (1148) 130 0.000 0.000 12.000 267 (223)

35.0 0.000 0.000 0.300 20 (29) 130 0.000 0.000 0.300 267 (223)

35.0 0.000 0.000 0.600 40 (57) 130 0.000 0.000 0.600 267 (223)

35.0 0.000 0.000 0.900 60 (86) 130 0.000 0.000 0.900 267 (223)

35.0 0.000 0.000 1.200 80 (115) 130 0.000 0.000 1.200 267 (223)

35.0 0.000 0.000 1.500 100 (143) 130 0.000 0.000 1.500 267 (223)

35.0 0.000 0.000 1.800 121 (172) 130 0.000 0.000 1.800 267 (223)

35.0 0.000 0.000 2.100 141 (201) 130 0.000 0.000 2.100 267 (223)

35.0 0.000 0.000 2.400 161 (230) 130 0.000 0.000 2.400 267 (223)

35.0 0.000 0.000 2.700 181 (258) 130 0.000 0.000 2.700 267 (223)

35.0 0.000 0.000 3.000 201 (287) 130 0.000 0.000 3.000 267 (223)

35.0 0.000 0.000 6.000 402 (574) 130 0.000 0.000 6.000 267 (223)

35.0 0.000 0.000 9.000 603 (861) 130 0.000 0.000 9.000 267 (223)

35.0 0.000 0.000 12.000 804 (1148) 130 0.000 0.000 12.000 267 (223)

35.0 0.000 0.300 0.300 28 (41) 130 0.000 0.300 0.300 267 (223)

35.0 0.000 0.600 0.600 57 (81) 130 0.000 0.600 0.600 267 (223)

35.0 0.000 0.900 0.900 85 (122) 130 0.000 0.900 0.900 267 (223)

35.0 0.000 1.200 1.200 114 (163) 130 0.000 1.200 1.200 267 (223)

35.0 0.000 1.500 1.500 142 (204) 130 0.000 1.500 1.500 267 (223)

35.0 0.000 1.800 1.800 171 (244) 130 0.000 1.800 1.800 267 (223)

35.0 0.000 2.100 2.100 199 (285) 130 0.000 2.100 2.100 267 (223)

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35.0 0.000 2.400 2.400 228 (326) 130 0.000 2.400 2.400 267 (223)

35.0 0.000 2.700 2.700 256 (366) 130 0.000 2.700 2.700 267 (223)

35.0 0.000 3.000 3.000 285 (407) 130 0.000 3.000 3.000 267 (223)

35.0 0.000 6.000 6.000 570 (814) 130 0.000 6.000 6.000 267 (223)

35.0 0.000 9.000 9.000 855 (1221) 130 0.000 9.000 9.000 267 (223)

35.0 0.000 12.000 12.000 1140 (1628) 130 0.000 12.000 12.000 267 (223)

35.0 0.300 0.000 0.300 99 (78) 130 0.300 0.000 0.300 329 (274)

35.0 0.300 0.000 0.600 113 (103) 130 0.300 0.000 0.600 311 (259)

35.0 0.300 0.000 0.900 131 (131) 130 0.300 0.000 0.900 303 (252)

35.0 0.300 0.000 1.200 150 (158) 130 0.300 0.000 1.200 298 (248)

35.0 0.300 0.000 1.500 169 (187) 130 0.300 0.000 1.500 295 (246)

35.0 0.300 0.000 1.800 189 (215) 130 0.300 0.000 1.800 292 (244)

35.0 0.300 0.000 2.100 208 (243) 130 0.300 0.000 2.100 291 (242)

35.0 0.300 0.000 2.400 228 (272) 130 0.300 0.000 2.400 289 (241)

35.0 0.300 0.000 2.700 248 (300) 130 0.300 0.000 2.700 288 (240)

35.0 0.300 0.000 3.000 268 (329) 130 0.300 0.000 3.000 287 (239)

35.0 0.300 0.000 6.000 468 (615) 130 0.300 0.000 6.000 281 (234)

35.0 0.300 0.000 9.000 668 (902) 130 0.300 0.000 9.000 279 (232)

35.0 0.300 0.000 12.000 869 (1189) 130 0.300 0.000 12.000 277 (231)

35.0 0.300 0.300 0.300 131 (99) 130 0.300 0.300 0.300 329 (274)

35.0 0.300 0.300 0.600 144 (123) 130 0.300 0.300 0.600 311 (259)

35.0 0.300 0.300 0.900 161 (149) 130 0.300 0.300 0.900 303 (252)

35.0 0.300 0.300 1.200 179 (177) 130 0.300 0.300 1.200 298 (248)

35.0 0.300 0.300 1.500 198 (205) 130 0.300 0.300 1.500 295 (246)

35.0 0.300 0.300 1.800 217 (233) 130 0.300 0.300 1.800 292 (244)

35.0 0.300 0.300 2.100 237 (261) 130 0.300 0.300 2.100 291 (242)

35.0 0.300 0.300 2.400 256 (290) 130 0.300 0.300 2.400 289 (241)

35.0 0.300 0.300 2.700 276 (318) 130 0.300 0.300 2.700 288 (240)

35.0 0.300 0.300 3.000 296 (347) 130 0.300 0.300 3.000 287 (239)

35.0 0.300 0.300 6.000 495 (633) 130 0.300 0.300 6.000 281 (234)

35.0 0.300 0.300 9.000 696 (920) 130 0.300 0.300 9.000 279 (232)

35.0 0.300 0.300 12.000 897 (1206) 130 0.300 0.300 12.000 277 (231)

35.0 0.300 0.600 0.300 140 (111) 130 0.300 0.600 0.300 329 (274)

35.0 0.300 0.900 0.600 161 (147) 130 0.300 0.900 0.600 311 (259)

35.0 0.300 1.200 0.900 186 (185) 130 0.300 1.200 0.900 303 (252)

35.0 0.300 1.500 1.200 212 (225) 130 0.300 1.500 1.200 298 (248)

35.0 0.300 1.800 1.500 240 (265) 130 0.300 1.800 1.500 295 (246)

35.0 0.300 2.100 1.800 267 (305) 130 0.300 2.100 1.800 292 (244)

35.0 0.300 2.400 2.100 295 (345) 130 0.300 2.400 2.100 291 (242)

35.0 0.300 2.700 2.400 323 (386) 130 0.300 2.700 2.400 289 (241)

35.0 0.300 3.000 2.700 352 (426) 130 0.300 3.000 2.700 288 (240)

35.0 0.300 3.300 3.000 380 (467) 130 0.300 3.300 3.000 287 (239)

35.0 0.300 6.300 6.000 664 (873) 130 0.300 6.300 6.000 281 (234)

35.0 0.300 9.300 9.000 948 (1280) 130 0.300 9.300 9.000 279 (232)

35.0 0.300 12.300 12.000 1233 (1687) 130 0.300 12.300 12.000 277 (231)

35.0 0.600 0.000 0.300 188 (134) 130 0.600 0.000 0.300 354 (295)

35.0 0.600 0.000 0.600 197 (156) 130 0.600 0.000 0.600 329 (274)

35.0 0.600 0.000 0.900 211 (181) 130 0.600 0.000 0.900 318 (265)

35.0 0.600 0.000 1.200 226 (207) 130 0.600 0.000 1.200 311 (259)

35.0 0.600 0.000 1.500 244 (234) 130 0.600 0.000 1.500 306 (255)

35.0 0.600 0.000 1.800 262 (261) 130 0.600 0.000 1.800 303 (252)

35.0 0.600 0.000 2.100 280 (289) 130 0.600 0.000 2.100 300 (250)

35.0 0.600 0.000 2.400 299 (317) 130 0.600 0.000 2.400 298 (248)

35.0 0.600 0.000 2.700 319 (345) 130 0.600 0.000 2.700 296 (247)

35.0 0.600 0.000 3.000 338 (373) 130 0.600 0.000 3.000 295 (246)

35.0 0.600 0.000 6.000 536 (658) 130 0.600 0.000 6.000 287 (239)

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35.0 0.600 0.000 9.000 735 (944) 130 0.600 0.000 9.000 283 (236)

35.0 0.600 0.000 12.000 936 (1231) 130 0.600 0.000 12.000 281 (234)

35.0 0.600 0.600 0.300 258 (179) 130 0.600 0.600 0.300 354 (295)

35.0 0.600 0.600 0.600 263 (198) 130 0.600 0.600 0.600 329 (274)

35.0 0.600 0.600 0.900 274 (220) 130 0.600 0.600 0.900 318 (265)

35.0 0.600 0.600 1.200 288 (245) 130 0.600 0.600 1.200 311 (259)

35.0 0.600 0.600 1.500 304 (271) 130 0.600 0.600 1.500 306 (255)

35.0 0.600 0.600 1.800 321 (298) 130 0.600 0.600 1.800 303 (252)

35.0 0.600 0.600 2.100 339 (326) 130 0.600 0.600 2.100 300 (250)

35.0 0.600 0.600 2.400 357 (353) 130 0.600 0.600 2.400 298 (248)

35.0 0.600 0.600 2.700 376 (381) 130 0.600 0.600 2.700 296 (247)

35.0 0.600 0.600 3.000 395 (409) 130 0.600 0.600 3.000 295 (246)

35.0 0.600 0.600 6.000 592 (693) 130 0.600 0.600 6.000 287 (239)

35.0 0.600 0.600 9.000 791 (979) 130 0.600 0.600 9.000 283 (236)

35.0 0.600 0.600 12.000 991 (1266) 130 0.600 0.600 12.000 281 (234)

35.0 0.600 0.900 0.300 267 (191) 130 0.600 0.900 0.300 354 (295)

35.0 0.600 1.200 0.600 280 (222) 130 0.600 1.200 0.600 329 (274)

35.0 0.600 1.500 0.900 299 (256) 130 0.600 1.500 0.900 318 (265)

35.0 0.600 1.800 1.200 321 (293) 130 0.600 1.800 1.200 311 (259)

35.0 0.600 2.100 1.500 346 (331) 130 0.600 2.100 1.500 306 (255)

35.0 0.600 2.400 1.800 371 (370) 130 0.600 2.400 1.800 303 (252)

35.0 0.600 2.700 2.100 398 (410) 130 0.600 2.700 2.100 300 (250)

35.0 0.600 3.000 2.400 425 (449) 130 0.600 3.000 2.400 298 (248)

35.0 0.600 3.300 2.700 452 (489) 130 0.600 3.300 2.700 296 (247)

35.0 0.600 3.600 3.000 479 (529) 130 0.600 3.600 3.000 295 (246)

35.0 0.600 6.600 6.000 760 (933) 130 0.600 6.600 6.000 287 (239)

35.0 0.600 9.600 9.000 1043 (1339) 130 0.600 9.600 9.000 283 (236)

35.0 0.600 12.600 12.000 1327 (1746) 130 0.600 12.600 12.000 281 (234)

35.0 0.900 0.000 0.300 279 (192) 130 0.900 0.000 0.300 374 (312)

35.0 0.900 0.000 0.600 286 (212) 130 0.900 0.000 0.600 343 (286)

35.0 0.900 0.000 0.900 296 (234) 130 0.900 0.000 0.900 329 (274)

35.0 0.900 0.000 1.200 309 (259) 130 0.900 0.000 1.200 321 (267)

35.0 0.900 0.000 1.500 324 (284) 130 0.900 0.000 1.500 315 (263)

35.0 0.900 0.000 1.800 340 (310) 130 0.900 0.000 1.800 311 (259)

35.0 0.900 0.000 2.100 357 (337) 130 0.900 0.000 2.100 308 (256)

35.0 0.900 0.000 2.400 375 (364) 130 0.900 0.000 2.400 305 (254)

35.0 0.900 0.000 2.700 393 (392) 130 0.900 0.000 2.700 303 (252)

35.0 0.900 0.000 3.000 411 (419) 130 0.900 0.000 3.000 301 (251)

35.0 0.900 0.000 6.000 605 (702) 130 0.900 0.000 6.000 291 (243)

35.0 0.900 0.000 9.000 803 (987) 130 0.900 0.000 9.000 287 (239)

35.0 0.900 0.000 12.000 1003 (1273) 130 0.900 0.000 12.000 284 (237)

35.0 0.900 0.900 0.300 388 (260) 130 0.900 0.900 0.300 374 (312)

35.0 0.900 0.900 0.600 389 (277) 130 0.900 0.900 0.600 343 (286)

35.0 0.900 0.900 0.900 394 (296) 130 0.900 0.900 0.900 329 (274)

35.0 0.900 0.900 1.200 404 (319) 130 0.900 0.900 1.200 321 (267)

35.0 0.900 0.900 1.500 417 (343) 130 0.900 0.900 1.500 315 (263)

35.0 0.900 0.900 1.800 431 (368) 130 0.900 0.900 1.800 311 (259)

35.0 0.900 0.900 2.100 447 (394) 130 0.900 0.900 2.100 308 (256)

35.0 0.900 0.900 2.400 464 (420) 130 0.900 0.900 2.400 305 (254)

35.0 0.900 0.900 2.700 482 (447) 130 0.900 0.900 2.700 303 (252)

35.0 0.900 0.900 3.000 499 (475) 130 0.900 0.900 3.000 301 (251)

35.0 0.900 0.900 6.000 690 (755) 130 0.900 0.900 6.000 291 (243)

35.0 0.900 0.900 9.000 887 (1040) 130 0.900 0.900 9.000 287 (239)

35.0 0.900 0.900 12.000 1086 (1326) 130 0.900 0.900 12.000 284 (237)

35.0 0.900 1.200 0.300 396 (272) 130 0.900 1.200 0.300 374 (312)

35.0 0.900 1.500 0.600 405 (301) 130 0.900 1.500 0.600 343 (286)

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35.0 0.900 1.800 0.900 420 (332) 130 0.900 1.800 0.900 329 (274)

35.0 0.900 2.100 1.200 438 (367) 130 0.900 2.100 1.200 321 (267)

35.0 0.900 2.400 1.500 459 (403) 130 0.900 2.400 1.500 315 (263)

35.0 0.900 2.700 1.800 482 (440) 130 0.900 2.700 1.800 311 (259)

35.0 0.900 3.000 2.100 506 (478) 130 0.900 3.000 2.100 308 (256)

35.0 0.900 3.300 2.400 531 (516) 130 0.900 3.300 2.400 305 (254)

35.0 0.900 3.600 2.700 557 (555) 130 0.900 3.600 2.700 303 (252)

35.0 0.900 3.900 3.000 583 (595) 130 0.900 3.900 3.000 301 (251)

35.0 0.900 6.900 6.000 858 (995) 130 0.900 6.900 6.000 291 (243)

35.0 0.900 9.900 9.000 1140 (1400) 130 0.900 9.900 9.000 287 (239)

35.0 0.900 12.900 12.000 1423 (1806) 130 0.900 12.900 12.000 284 (237)

35.0 1.200 0.000 0.300 371 (250) 130 1.200 0.000 0.300 390 (325)

35.0 1.200 0.000 0.600 376 (269) 130 1.200 0.000 0.600 354 (295)

35.0 1.200 0.000 0.900 384 (290) 130 1.200 0.000 0.900 338 (282)

35.0 1.200 0.000 1.200 394 (313) 130 1.200 0.000 1.200 329 (274)

35.0 1.200 0.000 1.500 407 (336) 130 1.200 0.000 1.500 322 (269)

35.0 1.200 0.000 1.800 421 (361) 130 1.200 0.000 1.800 318 (265)

35.0 1.200 0.000 2.100 437 (387) 130 1.200 0.000 2.100 314 (262)

35.0 1.200 0.000 2.400 453 (413) 130 1.200 0.000 2.400 311 (259)

35.0 1.200 0.000 2.700 470 (440) 130 1.200 0.000 2.700 308 (257)

35.0 1.200 0.000 3.000 488 (467) 130 1.200 0.000 3.000 306 (255)

35.0 1.200 0.000 6.000 676 (746) 130 1.200 0.000 6.000 295 (246)

35.0 1.200 0.000 9.000 872 (1031) 130 1.200 0.000 9.000 290 (242)

35.0 1.200 0.000 12.000 1071 (1316) 130 1.200 0.000 12.000 287 (239)

35.0 1.200 1.200 0.300 517 (342) 130 1.200 1.200 0.300 390 (325)

35.0 1.200 1.200 0.600 517 (358) 130 1.200 1.200 0.600 354 (295)

35.0 1.200 1.200 0.900 519 (375) 130 1.200 1.200 0.900 338 (282)

35.0 1.200 1.200 1.200 526 (395) 130 1.200 1.200 1.200 329 (274)

35.0 1.200 1.200 1.500 535 (417) 130 1.200 1.200 1.500 322 (269)

35.0 1.200 1.200 1.800 547 (441) 130 1.200 1.200 1.800 318 (265)

35.0 1.200 1.200 2.100 561 (465) 130 1.200 1.200 2.100 314 (262)

35.0 1.200 1.200 2.400 575 (490) 130 1.200 1.200 2.400 311 (259)

35.0 1.200 1.200 2.700 591 (516) 130 1.200 1.200 2.700 308 (257)

35.0 1.200 1.200 3.000 607 (543) 130 1.200 1.200 3.000 306 (255)

35.0 1.200 1.200 6.000 791 (819) 130 1.200 1.200 6.000 295 (246)

35.0 1.200 1.200 9.000 985 (1102) 130 1.200 1.200 9.000 290 (242)

35.0 1.200 1.200 12.000 1183 (1387) 130 1.200 1.200 12.000 287 (239)

35.0 1.200 1.500 0.300 526 (354) 130 1.200 1.500 0.300 390 (325)

35.0 1.200 1.800 0.600 533 (382) 130 1.200 1.800 0.600 354 (295)

35.0 1.200 2.100 0.900 545 (411) 130 1.200 2.100 0.900 338 (282)

35.0 1.200 2.400 1.200 559 (443) 130 1.200 2.400 1.200 329 (274)

35.0 1.200 2.700 1.500 577 (477) 130 1.200 2.700 1.500 322 (269)

35.0 1.200 3.000 1.800 597 (513) 130 1.200 3.000 1.800 318 (265)

35.0 1.200 3.300 2.100 619 (549) 130 1.200 3.300 2.100 314 (262)

35.0 1.200 3.600 2.400 643 (586) 130 1.200 3.600 2.400 311 (259)

35.0 1.200 3.900 2.700 667 (624) 130 1.200 3.900 2.700 308 (257)

35.0 1.200 4.200 3.000 692 (663) 130 1.200 4.200 3.000 306 (255)

35.0 1.200 7.200 6.000 959 (1059) 130 1.200 7.200 6.000 295 (246)

35.0 1.200 10.200 9.000 1238 (1462) 130 1.200 10.200 9.000 290 (242)

35.0 1.200 13.200 12.000 1519 (1867) 130 1.200 13.200 12.000 287 (239)

37.5 0.000 0.000 0.300 31 (44) 180 0.000 0.000 0.300 370 (308)

37.5 0.000 0.000 0.600 61 (87) 180 0.000 0.000 0.600 370 (308)

37.5 0.000 0.000 0.900 92 (131) 180 0.000 0.000 0.900 370 (308)

37.5 0.000 0.000 1.200 122 (175) 180 0.000 0.000 1.200 370 (308)

37.5 0.000 0.000 1.500 153 (218) 180 0.000 0.000 1.500 370 (308)

37.5 0.000 0.000 1.800 183 (262) 180 0.000 0.000 1.800 370 (308)

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37.5 0.000 0.000 2.100 214 (305) 180 0.000 0.000 2.100 370 (308)

37.5 0.000 0.000 2.400 244 (349) 180 0.000 0.000 2.400 370 (308)

37.5 0.000 0.000 2.700 275 (393) 180 0.000 0.000 2.700 370 (308)

37.5 0.000 0.000 3.000 305 (436) 180 0.000 0.000 3.000 370 (308)

37.5 0.000 0.000 6.000 611 (873) 180 0.000 0.000 6.000 370 (308)

37.5 0.000 0.000 9.000 916 (1309) 180 0.000 0.000 9.000 370 (308)

37.5 0.000 0.000 12.000 1222 (1745) 180 0.000 0.000 12.000 370 (308)

37.5 0.000 0.000 0.300 31 (44) 180 0.000 0.000 0.300 370 (308)

37.5 0.000 0.000 0.600 61 (87) 180 0.000 0.000 0.600 370 (308)

37.5 0.000 0.000 0.900 92 (131) 180 0.000 0.000 0.900 370 (308)

37.5 0.000 0.000 1.200 122 (175) 180 0.000 0.000 1.200 370 (308)

37.5 0.000 0.000 1.500 153 (218) 180 0.000 0.000 1.500 370 (308)

37.5 0.000 0.000 1.800 183 (262) 180 0.000 0.000 1.800 370 (308)

37.5 0.000 0.000 2.100 214 (305) 180 0.000 0.000 2.100 370 (308)

37.5 0.000 0.000 2.400 244 (349) 180 0.000 0.000 2.400 370 (308)

37.5 0.000 0.000 2.700 275 (393) 180 0.000 0.000 2.700 370 (308)

37.5 0.000 0.000 3.000 305 (436) 180 0.000 0.000 3.000 370 (308)

37.5 0.000 0.000 6.000 611 (873) 180 0.000 0.000 6.000 370 (308)

37.5 0.000 0.000 9.000 916 (1309) 180 0.000 0.000 9.000 370 (308)

37.5 0.000 0.000 12.000 1222 (1745) 180 0.000 0.000 12.000 370 (308)

37.5 0.000 0.300 0.300 43 (62) 180 0.000 0.300 0.300 370 (308)

37.5 0.000 0.600 0.600 87 (124) 180 0.000 0.600 0.600 370 (308)

37.5 0.000 0.900 0.900 130 (186) 180 0.000 0.900 0.900 370 (308)

37.5 0.000 1.200 1.200 173 (248) 180 0.000 1.200 1.200 370 (308)

37.5 0.000 1.500 1.500 217 (309) 180 0.000 1.500 1.500 370 (308)

37.5 0.000 1.800 1.800 260 (371) 180 0.000 1.800 1.800 370 (308)

37.5 0.000 2.100 2.100 303 (433) 180 0.000 2.100 2.100 370 (308)

37.5 0.000 2.400 2.400 347 (495) 180 0.000 2.400 2.400 370 (308)

37.5 0.000 2.700 2.700 390 (557) 180 0.000 2.700 2.700 370 (308)

37.5 0.000 3.000 3.000 433 (619) 180 0.000 3.000 3.000 370 (308)

37.5 0.000 6.000 6.000 867 (1238) 180 0.000 6.000 6.000 370 (308)

37.5 0.000 9.000 9.000 1300 (1857) 180 0.000 9.000 9.000 370 (308)

37.5 0.000 12.000 12.000 1733 (2476) 180 0.000 12.000 12.000 370 (308)

37.5 0.300 0.000 0.300 140 (111) 180 0.300 0.000 0.300 455 (380)

37.5 0.300 0.000 0.600 164 (150) 180 0.300 0.000 0.600 430 (359)

37.5 0.300 0.000 0.900 191 (192) 180 0.300 0.000 0.900 419 (349)

37.5 0.300 0.000 1.200 220 (235) 180 0.300 0.000 1.200 413 (344)

37.5 0.300 0.000 1.500 249 (278) 180 0.300 0.000 1.500 408 (340)

37.5 0.300 0.000 1.800 279 (321) 180 0.300 0.000 1.800 405 (337)

37.5 0.300 0.000 2.100 309 (364) 180 0.300 0.000 2.100 402 (335)

37.5 0.300 0.000 2.400 339 (408) 180 0.300 0.000 2.400 400 (334)

37.5 0.300 0.000 2.700 370 (451) 180 0.300 0.000 2.700 399 (332)

37.5 0.300 0.000 3.000 400 (495) 180 0.300 0.000 3.000 397 (331)

37.5 0.300 0.000 6.000 704 (930) 180 0.300 0.000 6.000 389 (324)

37.5 0.300 0.000 9.000 1009 (1366) 180 0.300 0.000 9.000 386 (321)

37.5 0.300 0.000 12.000 1315 (1803) 180 0.300 0.000 12.000 384 (320)

37.5 0.300 0.300 0.300 186 (140) 180 0.300 0.300 0.300 455 (380)

37.5 0.300 0.300 0.600 206 (177) 180 0.300 0.300 0.600 430 (359)

37.5 0.300 0.300 0.900 233 (218) 180 0.300 0.300 0.900 419 (349)

37.5 0.300 0.300 1.200 261 (260) 180 0.300 0.300 1.200 413 (344)

37.5 0.300 0.300 1.500 290 (303) 180 0.300 0.300 1.500 408 (340)

37.5 0.300 0.300 1.800 319 (346) 180 0.300 0.300 1.800 405 (337)

37.5 0.300 0.300 2.100 349 (389) 180 0.300 0.300 2.100 402 (335)

37.5 0.300 0.300 2.400 379 (432) 180 0.300 0.300 2.400 400 (334)

37.5 0.300 0.300 2.700 409 (476) 180 0.300 0.300 2.700 399 (332)

37.5 0.300 0.300 3.000 439 (519) 180 0.300 0.300 3.000 397 (331)

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93

37.5 0.300 0.300 6.000 743 (954) 180 0.300 0.300 6.000 389 (324)

37.5 0.300 0.300 9.000 1048 (1390) 180 0.300 0.300 9.000 386 (321)

37.5 0.300 0.300 12.000 1353 (1827) 180 0.300 0.300 12.000 384 (320)

37.5 0.300 0.600 0.300 199 (158) 180 0.300 0.600 0.300 455 (380)

37.5 0.300 0.900 0.600 232 (213) 180 0.300 0.900 0.600 430 (359)

37.5 0.300 1.200 0.900 271 (273) 180 0.300 1.200 0.900 419 (349)

37.5 0.300 1.500 1.200 312 (333) 180 0.300 1.500 1.200 413 (344)

37.5 0.300 1.800 1.500 354 (394) 180 0.300 1.800 1.500 408 (340)

37.5 0.300 2.100 1.800 396 (455) 180 0.300 2.100 1.800 405 (337)

37.5 0.300 2.400 2.100 439 (517) 180 0.300 2.400 2.100 402 (335)

37.5 0.300 2.700 2.400 481 (578) 180 0.300 2.700 2.400 400 (334)

37.5 0.300 3.000 2.700 524 (640) 180 0.300 3.000 2.700 399 (332)

37.5 0.300 3.300 3.000 567 (702) 180 0.300 3.300 3.000 397 (331)

37.5 0.300 6.300 6.000 999 (1319) 180 0.300 6.300 6.000 389 (324)

37.5 0.300 9.300 9.000 1432 (1938) 180 0.300 9.300 9.000 386 (321)

37.5 0.300 12.300 12.000 1865 (2557) 180 0.300 12.300 12.000 384 (320)

37.5 0.600 0.000 0.300 264 (188) 180 0.600 0.000 0.300 491 (409)

37.5 0.600 0.000 0.600 280 (222) 180 0.600 0.000 0.600 455 (380)

37.5 0.600 0.000 0.900 302 (261) 180 0.600 0.000 0.900 440 (366)

37.5 0.600 0.000 1.200 327 (301) 180 0.600 0.000 1.200 430 (359)

37.5 0.600 0.000 1.500 354 (342) 180 0.600 0.000 1.500 424 (353)

37.5 0.600 0.000 1.800 382 (384) 180 0.600 0.000 1.800 419 (349)

37.5 0.600 0.000 2.100 411 (427) 180 0.600 0.000 2.100 416 (346)

37.5 0.600 0.000 2.400 440 (469) 180 0.600 0.000 2.400 413 (344)

37.5 0.600 0.000 2.700 469 (512) 180 0.600 0.000 2.700 410 (342)

37.5 0.600 0.000 3.000 499 (555) 180 0.600 0.000 3.000 408 (340)

37.5 0.600 0.000 6.000 800 (989) 180 0.600 0.000 6.000 397 (331)

37.5 0.600 0.000 9.000 1104 (1425) 180 0.600 0.000 9.000 392 (327)

37.5 0.600 0.000 12.000 1408 (1860) 180 0.600 0.000 12.000 389 (324)

37.5 0.600 0.600 0.300 361 (248) 180 0.600 0.600 0.300 491 (409)

37.5 0.600 0.600 0.600 372 (279) 180 0.600 0.600 0.600 455 (380)

37.5 0.600 0.600 0.900 390 (315) 180 0.600 0.600 0.900 440 (366)

37.5 0.600 0.600 1.200 413 (354) 180 0.600 0.600 1.200 430 (359)

37.5 0.600 0.600 1.500 438 (394) 180 0.600 0.600 1.500 424 (353)

37.5 0.600 0.600 1.800 465 (436) 180 0.600 0.600 1.800 419 (349)

37.5 0.600 0.600 2.100 493 (478) 180 0.600 0.600 2.100 416 (346)

37.5 0.600 0.600 2.400 521 (520) 180 0.600 0.600 2.400 413 (344)

37.5 0.600 0.600 2.700 550 (563) 180 0.600 0.600 2.700 410 (342)

37.5 0.600 0.600 3.000 579 (605) 180 0.600 0.600 3.000 408 (340)

37.5 0.600 0.600 6.000 879 (1038) 180 0.600 0.600 6.000 397 (331)

37.5 0.600 0.600 9.000 1182 (1473) 180 0.600 0.600 9.000 392 (327)

37.5 0.600 0.600 12.000 1487 (1909) 180 0.600 0.600 12.000 389 (324)

37.5 0.600 0.900 0.300 374 (266) 180 0.600 0.900 0.300 491 (409)

37.5 0.600 1.200 0.600 397 (316) 180 0.600 1.200 0.600 455 (380)

37.5 0.600 1.500 0.900 428 (370) 180 0.600 1.500 0.900 440 (366)

37.5 0.600 1.800 1.200 464 (427) 180 0.600 1.800 1.200 430 (359)

37.5 0.600 2.100 1.500 502 (486) 180 0.600 2.100 1.500 424 (353)

37.5 0.600 2.400 1.800 542 (545) 180 0.600 2.400 1.800 419 (349)

37.5 0.600 2.700 2.100 582 (605) 180 0.600 2.700 2.100 416 (346)

37.5 0.600 3.000 2.400 624 (666) 180 0.600 3.000 2.400 413 (344)

37.5 0.600 3.300 2.700 665 (727) 180 0.600 3.300 2.700 410 (342)

37.5 0.600 3.600 3.000 707 (788) 180 0.600 3.600 3.000 408 (340)

37.5 0.600 6.600 6.000 1134 (1403) 180 0.600 6.600 6.000 397 (331)

37.5 0.600 9.600 9.000 1566 (2021) 180 0.600 9.600 9.000 392 (327)

37.5 0.600 12.600 12.000 1998 (2639) 180 0.600 12.600 12.000 389 (324)

37.5 0.900 0.000 0.300 390 (265) 180 0.900 0.000 0.300 518 (432)

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94

37.5 0.900 0.000 0.600 403 (298) 180 0.900 0.000 0.600 475 (395)

37.5 0.900 0.000 0.900 420 (334) 180 0.900 0.000 0.900 455 (380)

37.5 0.900 0.000 1.200 441 (371) 180 0.900 0.000 1.200 444 (370)

37.5 0.900 0.000 1.500 465 (411) 180 0.900 0.000 1.500 436 (364)

37.5 0.900 0.000 1.800 491 (451) 180 0.900 0.000 1.800 430 (359)

37.5 0.900 0.000 2.100 517 (493) 180 0.900 0.000 2.100 426 (355)

37.5 0.900 0.000 2.400 545 (534) 180 0.900 0.000 2.400 422 (352)

37.5 0.900 0.000 2.700 573 (576) 180 0.900 0.000 2.700 419 (349)

37.5 0.900 0.000 3.000 601 (619) 180 0.900 0.000 3.000 417 (347)

37.5 0.900 0.000 6.000 897 (1049) 180 0.900 0.000 6.000 403 (336)

37.5 0.900 0.000 9.000 1200 (1484) 180 0.900 0.000 9.000 397 (331)

37.5 0.900 0.000 12.000 1503 (1919) 180 0.900 0.000 12.000 394 (328)

37.5 0.900 0.900 0.300 540 (358) 180 0.900 0.900 0.300 518 (432)

37.5 0.900 0.900 0.600 546 (386) 180 0.900 0.900 0.600 475 (395)

37.5 0.900 0.900 0.900 558 (419) 180 0.900 0.900 0.900 455 (380)

37.5 0.900 0.900 1.200 575 (454) 180 0.900 0.900 1.200 444 (370)

37.5 0.900 0.900 1.500 596 (492) 180 0.900 0.900 1.500 436 (364)

37.5 0.900 0.900 1.800 619 (531) 180 0.900 0.900 1.800 430 (359)

37.5 0.900 0.900 2.100 644 (571) 180 0.900 0.900 2.100 426 (355)

37.5 0.900 0.900 2.400 670 (612) 180 0.900 0.900 2.400 422 (352)

37.5 0.900 0.900 2.700 698 (653) 180 0.900 0.900 2.700 419 (349)

37.5 0.900 0.900 3.000 725 (695) 180 0.900 0.900 3.000 417 (347)

37.5 0.900 0.900 6.000 1017 (1123) 180 0.900 0.900 6.000 403 (336)

37.5 0.900 0.900 9.000 1318 (1557) 180 0.900 0.900 9.000 397 (331)

37.5 0.900 0.900 12.000 1621 (1992) 180 0.900 0.900 12.000 394 (328)

37.5 0.900 1.200 0.300 553 (376) 180 0.900 1.200 0.300 518 (432)

37.5 0.900 1.500 0.600 571 (423) 180 0.900 1.500 0.600 475 (395)

37.5 0.900 1.800 0.900 596 (473) 180 0.900 1.800 0.900 455 (380)

37.5 0.900 2.100 1.200 626 (527) 180 0.900 2.100 1.200 444 (370)

37.5 0.900 2.400 1.500 660 (583) 180 0.900 2.400 1.500 436 (364)

37.5 0.900 2.700 1.800 696 (640) 180 0.900 2.700 1.800 430 (359)

37.5 0.900 3.000 2.100 734 (699) 180 0.900 3.000 2.100 426 (355)

37.5 0.900 3.300 2.400 773 (758) 180 0.900 3.300 2.400 422 (352)

37.5 0.900 3.600 2.700 813 (818) 180 0.900 3.600 2.700 419 (349)

37.5 0.900 3.900 3.000 853 (878) 180 0.900 3.900 3.000 417 (347)

37.5 0.900 6.900 6.000 1273 (1488) 180 0.900 6.900 6.000 403 (336)

37.5 0.900 9.900 9.000 1702 (2105) 180 0.900 9.900 9.000 397 (331)

37.5 0.900 12.900 12.000 2133 (2722) 180 0.900 12.900 12.000 394 (328)

37.5 1.200 0.000 0.300 516 (344) 180 1.200 0.000 0.300 541 (451)

37.5 1.200 0.000 0.600 527 (375) 180 1.200 0.000 0.600 491 (409)

37.5 1.200 0.000 0.900 542 (409) 180 1.200 0.000 0.900 469 (391)

37.5 1.200 0.000 1.200 560 (445) 180 1.200 0.000 1.200 455 (380)

37.5 1.200 0.000 1.500 581 (482) 180 1.200 0.000 1.500 446 (372)

37.5 1.200 0.000 1.800 604 (521) 180 1.200 0.000 1.800 440 (366)

37.5 1.200 0.000 2.100 628 (561) 180 1.200 0.000 2.100 435 (362)

37.5 1.200 0.000 2.400 654 (602) 180 1.200 0.000 2.400 430 (359)

37.5 1.200 0.000 2.700 681 (643) 180 1.200 0.000 2.700 427 (356)

37.5 1.200 0.000 3.000 708 (685) 180 1.200 0.000 3.000 424 (353)

37.5 1.200 0.000 6.000 997 (1111) 180 1.200 0.000 6.000 408 (340)

37.5 1.200 0.000 9.000 1297 (1544) 180 1.200 0.000 9.000 401 (334)

37.5 1.200 0.000 12.000 1600 (1978) 180 1.200 0.000 12.000 397 (331)

37.5 1.200 1.200 0.300 719 (469) 180 1.200 1.200 0.300 541 (451)

37.5 1.200 1.200 0.600 723 (496) 180 1.200 1.200 0.600 491 (409)

37.5 1.200 1.200 0.900 731 (525) 180 1.200 1.200 0.900 469 (391)

37.5 1.200 1.200 1.200 744 (558) 180 1.200 1.200 1.200 455 (380)

37.5 1.200 1.200 1.500 760 (593) 180 1.200 1.200 1.500 446 (372)

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37.5 1.200 1.200 1.800 780 (630) 180 1.200 1.200 1.800 440 (366)

37.5 1.200 1.200 2.100 802 (668) 180 1.200 1.200 2.100 435 (362)

37.5 1.200 1.200 2.400 826 (708) 180 1.200 1.200 2.400 430 (359)

37.5 1.200 1.200 2.700 850 (748) 180 1.200 1.200 2.700 427 (356)

37.5 1.200 1.200 3.000 876 (788) 180 1.200 1.200 3.000 424 (353)

37.5 1.200 1.200 6.000 1159 (1211) 180 1.200 1.200 6.000 408 (340)

37.5 1.200 1.200 9.000 1456 (1642) 180 1.200 1.200 9.000 401 (334)

37.5 1.200 1.200 12.000 1758 (2076) 180 1.200 1.200 12.000 397 (331)

37.5 1.200 1.500 0.300 732 (487) 180 1.200 1.500 0.300 541 (451)

37.5 1.200 1.800 0.600 748 (532) 180 1.200 1.800 0.600 491 (409)

37.5 1.200 2.100 0.900 769 (580) 180 1.200 2.100 0.900 469 (391)

37.5 1.200 2.400 1.200 795 (631) 180 1.200 2.400 1.200 455 (380)

37.5 1.200 2.700 1.500 824 (684) 180 1.200 2.700 1.500 446 (372)

37.5 1.200 3.000 1.800 857 (740) 180 1.200 3.000 1.800 440 (366)

37.5 1.200 3.300 2.100 891 (796) 180 1.200 3.300 2.100 435 (362)

37.5 1.200 3.600 2.400 928 (854) 180 1.200 3.600 2.400 430 (359)

37.5 1.200 3.900 2.700 965 (912) 180 1.200 3.900 2.700 427 (356)

37.5 1.200 4.200 3.000 1004 (971) 180 1.200 4.200 3.000 424 (353)

37.5 1.200 7.200 6.000 1415 (1576) 180 1.200 7.200 6.000 408 (340)

37.5 1.200 10.200 9.000 1840 (2190) 180 1.200 10.200 9.000 401 (334)

37.5 1.200 13.200 12.000 2269 (2806) 180 1.200 13.200 12.000 397 (331)

^ Note unbracketed values refer to pad footing capacities whilst bracketed values refer to strip footing capacities. # Note for pad footing capacities, the foundation length, L dimension equals the foundation width, B dimension, whilst for strip footing

capacities, L is infinite. & Note D is the depth of foundation founding level from ground level and zu is the depth of water table from ground level.

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^ (Elastic Method) Total Settlement, (mm) for Cohesionless and Cohesive Soils

in Terms of SPT, N or Undrained Shear Strength, Su (kPa) & Net (Effective) Working Pressure, qwnet' (kPa),

= k . qwnet' / (N or Su) where k is the Coefficient Tabled Below

& D (m)

# B (m)

Sand and Gravel

(Normally Consolidated)

Ev' = 1000N (kN/m2)

Sand and Gravel

(Over Consolidated)

Ev' = 2000N (kN/m2)

Clay and Silt

Ev' = 200Su (kN/m2)

Circ

ular L/B=1 L/B=2 L/B=5

L/B

=10

Circ

ular L/B=1 L/B=2 L/B=5

L/B

=10

Circ

ular L/B=1 L/B=2 L/B=5

L/B

=10

0.000 0.300 0.29 0.32 0.42 0.60 0.79 0.14 0.16 0.21 0.30 0.40 1.44 1.61 2.11 3.02 3.96

0.000 0.600 0.58 0.65 0.85 1.21 1.58 0.29 0.32 0.42 0.60 0.79 2.88 3.23 4.23 6.04 7.92

0.000 0.900 0.86 0.97 1.27 1.81 2.38 0.43 0.48 0.63 0.91 1.19 4.32 4.84 6.34 9.06 11.88

0.000 1.200 1.15 1.29 1.69 2.42 3.17 0.58 0.65 0.85 1.21 1.58 5.76 6.45 8.45 12.08 15.84

0.000 1.500 1.44 1.61 2.11 3.02 3.96 0.72 0.81 1.06 1.51 1.98 7.20 8.06 10.57 15.11 19.79

0.000 1.800 1.73 1.94 2.54 3.63 4.75 0.86 0.97 1.27 1.81 2.38 8.64 9.68 12.68 18.13 23.75

0.000 2.100 2.02 2.26 2.96 4.23 5.54 1.01 1.13 1.48 2.11 2.77 10.08 11.29 14.79 21.15 27.71

0.000 2.400 2.30 2.58 3.38 4.83 6.33 1.15 1.29 1.69 2.42 3.17 11.52 12.90 16.91 24.17 31.67

0.000 2.700 2.59 2.90 3.80 5.44 7.13 1.30 1.45 1.90 2.72 3.56 12.96 14.52 19.02 27.19 35.63

0.000 3.000 2.88 3.23 4.23 6.04 7.92 1.44 1.61 2.11 3.02 3.96 14.40 16.13 21.13 30.21 39.59

0.000 6.000 5.76 6.45 8.45 12.08 15.84 2.88 3.23 4.23 6.04 7.92 28.80 32.26 42.27 60.42 79.18

0.000 9.000 8.64 9.68 12.68 18.13 23.75 4.32 4.84 6.34 9.06 11.88 43.20 48.38 63.40 90.64 118.77

0.000 12.000 11.52 12.90 16.91 24.17 31.67 5.76 6.45 8.45 12.08 15.84 57.60 64.51 84.54 120.85 158.36

0.300 0.300 0.23 0.26 0.37 0.54 0.72 0.12 0.13 0.18 0.27 0.36 1.17 1.31 1.83 2.72 3.60

0.300 0.600 0.52 0.58 0.79 1.15 1.51 0.26 0.29 0.39 0.57 0.76 2.61 2.92 3.95 5.74 7.56

0.300 0.900 0.81 0.91 1.21 1.75 2.30 0.41 0.45 0.61 0.88 1.15 4.05 4.54 6.06 8.76 11.52

0.300 1.200 1.10 1.23 1.63 2.36 3.10 0.55 0.62 0.82 1.18 1.55 5.49 6.15 8.17 11.78 15.48

0.300 1.500 1.39 1.55 2.06 2.96 3.89 0.69 0.78 1.03 1.48 1.94 6.93 7.76 10.29 14.80 19.44

0.300 1.800 1.67 1.88 2.48 3.56 4.68 0.84 0.94 1.24 1.78 2.34 8.37 9.38 12.40 17.82 23.39

0.300 2.100 1.96 2.20 2.90 4.17 5.47 0.98 1.10 1.45 2.08 2.74 9.81 10.99 14.51 20.84 27.35

0.300 2.400 2.25 2.52 3.33 4.77 6.26 1.13 1.26 1.66 2.39 3.13 11.25 12.60 16.63 23.86 31.31

0.300 2.700 2.54 2.84 3.75 5.38 7.05 1.27 1.42 1.87 2.69 3.53 12.69 14.21 18.74 26.88 35.27

0.300 3.000 2.83 3.17 4.17 5.98 7.85 1.41 1.58 2.09 2.99 3.92 14.13 15.83 20.85 29.91 39.23

0.300 6.000 5.71 6.39 8.40 12.02 15.76 2.85 3.20 4.20 6.01 7.88 28.53 31.95 41.99 60.12 78.82

0.300 9.000 8.59 9.62 12.62 18.07 23.68 4.29 4.81 6.31 9.03 11.84 42.93 48.08 63.12 90.33 118.41

0.300 12.000 11.47 12.84 16.85 24.11 31.60 5.73 6.42 8.43 12.05 15.80 57.33 64.21 84.25 120.54 158.00

0.600 0.300 0.18 0.20 0.31 0.48 0.65 0.09 0.10 0.15 0.24 0.32 0.90 1.01 1.55 2.41 3.24

0.600 0.600 0.47 0.52 0.73 1.09 1.44 0.23 0.26 0.37 0.54 0.72 2.34 2.62 3.66 5.43 7.20

0.600 0.900 0.76 0.85 1.16 1.69 2.23 0.38 0.42 0.58 0.85 1.12 3.78 4.24 5.78 8.45 11.16

0.600 1.200 1.04 1.17 1.58 2.29 3.02 0.52 0.58 0.79 1.15 1.51 5.22 5.85 7.89 11.47 15.12

0.600 1.500 1.33 1.49 2.00 2.90 3.82 0.67 0.75 1.00 1.45 1.91 6.66 7.46 10.00 14.49 19.08

Relationship Between Undrained Shear Strength, Su and

SPT, N (Stroud)

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

Su (kPa) <20 20-40 40-75 75-150 >150

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

dry (kN/m3)

sat (kN/m3) 16 17 18 19 20 21

Relationship Between Effective Angle of Shear Resistance, '

and SPT, N (Peck)

Very

Loose Loose

Medium

Dense Dense

Very

Dense

dry (kN/m3)

(sat (kN/m3))

<14

(<16)

14-16

(16-18)

16-17

(18-19)

17-19

(19-21)

>19

(>21)

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0.600 1.800 1.62 1.81 2.42 3.50 4.61 0.81 0.91 1.21 1.75 2.30 8.10 9.07 12.12 17.51 23.04

0.600 2.100 1.91 2.14 2.85 4.11 5.40 0.95 1.07 1.42 2.05 2.70 9.54 10.69 14.23 20.54 26.99

0.600 2.400 2.20 2.46 3.27 4.71 6.19 1.10 1.23 1.63 2.36 3.10 10.98 12.30 16.34 23.56 30.95

0.600 2.700 2.48 2.78 3.69 5.32 6.98 1.24 1.39 1.85 2.66 3.49 12.42 13.91 18.46 26.58 34.91

0.600 3.000 2.77 3.11 4.11 5.92 7.77 1.39 1.55 2.06 2.96 3.89 13.86 15.53 20.57 29.60 38.87

0.600 6.000 5.65 6.33 8.34 11.96 15.69 2.83 3.17 4.17 5.98 7.85 28.26 31.65 41.70 59.81 78.46

0.600 9.000 8.53 9.56 12.57 18.00 23.61 4.27 4.78 6.28 9.00 11.81 42.66 47.78 62.84 90.02 118.05

0.600 12.000 11.41 12.78 16.79 24.05 31.53 5.71 6.39 8.40 12.02 15.76 57.06 63.91 83.97 120.24 157.64

0.900 0.300 0.13 0.14 0.25 0.42 0.58 0.06 0.07 0.13 0.21 0.29 0.63 0.71 1.27 2.10 2.88

0.900 0.600 0.41 0.46 0.68 1.02 1.37 0.21 0.23 0.34 0.51 0.68 2.07 2.32 3.38 5.12 6.84

0.900 0.900 0.70 0.79 1.10 1.63 2.16 0.35 0.39 0.55 0.81 1.08 3.51 3.94 5.49 8.15 10.80

0.900 1.200 0.99 1.11 1.52 2.23 2.95 0.50 0.55 0.76 1.12 1.48 4.95 5.55 7.61 11.17 14.76

0.900 1.500 1.28 1.43 1.94 2.84 3.74 0.64 0.72 0.97 1.42 1.87 6.39 7.16 9.72 14.19 18.72

0.900 1.800 1.57 1.75 2.37 3.44 4.54 0.78 0.88 1.18 1.72 2.27 7.83 8.77 11.84 17.21 22.68

0.900 2.100 1.85 2.08 2.79 4.05 5.33 0.93 1.04 1.39 2.02 2.66 9.27 10.39 13.95 20.23 26.64

0.900 2.400 2.14 2.40 3.21 4.65 6.12 1.07 1.20 1.61 2.33 3.06 10.71 12.00 16.06 23.25 30.59

0.900 2.700 2.43 2.72 3.64 5.25 6.91 1.22 1.36 1.82 2.63 3.46 12.15 13.61 18.18 26.27 34.55

0.900 3.000 2.72 3.04 4.06 5.86 7.70 1.36 1.52 2.03 2.93 3.85 13.59 15.22 20.29 29.29 38.51

0.900 6.000 5.60 6.27 8.28 11.90 15.62 2.80 3.14 4.14 5.95 7.81 27.99 31.35 41.42 59.51 78.10

0.900 9.000 8.48 9.50 12.51 17.94 23.54 4.24 4.75 6.26 8.97 11.77 42.39 47.48 62.56 89.72 117.69

0.900 12.000 11.36 12.72 16.74 23.99 31.46 5.68 6.36 8.37 11.99 15.73 56.79 63.61 83.69 119.93 157.28

1.200 0.300 0.07 0.08 0.20 0.36 0.50 0.04 0.04 0.10 0.18 0.25 0.36 0.41 0.99 1.80 2.52

1.200 0.600 0.36 0.40 0.62 0.96 1.30 0.18 0.20 0.31 0.48 0.65 1.80 2.02 3.10 4.82 6.48

1.200 0.900 0.65 0.73 1.04 1.57 2.09 0.32 0.36 0.52 0.78 1.04 3.24 3.63 5.21 7.84 10.44

1.200 1.200 0.94 1.05 1.47 2.17 2.88 0.47 0.52 0.73 1.09 1.44 4.68 5.25 7.33 10.86 14.40

1.200 1.500 1.22 1.37 1.89 2.78 3.67 0.61 0.69 0.94 1.39 1.84 6.12 6.86 9.44 13.88 18.36

1.200 1.800 1.51 1.69 2.31 3.38 4.46 0.76 0.85 1.16 1.69 2.23 7.56 8.47 11.55 16.90 22.32

1.200 2.100 1.80 2.02 2.73 3.98 5.26 0.90 1.01 1.37 1.99 2.63 9.00 10.09 13.67 19.92 26.28

1.200 2.400 2.09 2.34 3.16 4.59 6.05 1.04 1.17 1.58 2.29 3.02 10.44 11.70 15.78 22.94 30.24

1.200 2.700 2.38 2.66 3.58 5.19 6.84 1.19 1.33 1.79 2.60 3.42 11.88 13.31 17.89 25.97 34.19

1.200 3.000 2.66 2.98 4.00 5.80 7.63 1.33 1.49 2.00 2.90 3.82 13.32 14.92 20.01 28.99 38.15

1.200 6.000 5.54 6.21 8.23 11.84 15.55 2.77 3.11 4.11 5.92 7.77 27.72 31.05 41.14 59.20 77.74

1.200 9.000 8.42 9.44 12.45 17.88 23.47 4.21 4.72 6.23 8.94 11.73 42.12 47.18 62.27 89.41 117.33

1.200 12.000 11.30 12.66 16.68 23.92 31.38 5.65 6.33 8.34 11.96 15.69 56.52 63.31 83.41 119.62 156.92

^ Note conservatively, flexible (in lieu of rigid) shape and rigidity factor, fs values are assumed within the influence factor, Is.

^ Note a Poisson’s ratio, of 0.20 adopted for all soils. # Note for rectangular footings, B is the foundation width and L is the foundation length, whilst for circular footings, B is the foundation

diameter. & Note D is the depth of foundation founding level from ground level.

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^ (Burland and Burbidge SPT Method) Total Settlement, (mm) for Cohesionless Soils

for Arbitrary Net (Effective) Working Pressure, qwnet' = 100.0kPa

# B (m) N = 4 N = 10 N = 15 N = 20 N = 25 N = 30 N = 35 N = 40 N = 45 N = 50

0.300 10.57 2.93 1.66 1.11 0.81 0.63 0.51 0.42 0.36 0.31

0.600 17.17 4.76 2.70 1.80 1.32 1.02 0.82 0.68 0.58 0.50

0.900 22.81 6.32 3.58 2.40 1.75 1.36 1.09 0.91 0.77 0.66

1.200 27.90 7.73 4.38 2.93 2.14 1.66 1.34 1.11 0.94 0.81

1.500 32.61 9.04 5.13 3.43 2.51 1.94 1.57 1.30 1.10 0.95

1.800 37.05 10.27 5.82 3.89 2.85 2.21 1.78 1.48 1.25 1.08

2.100 41.27 11.44 6.49 4.34 3.17 2.46 1.98 1.64 1.39 1.20

2.400 45.32 12.56 7.12 4.76 3.48 2.70 2.17 1.80 1.53 1.32

2.700 49.21 13.64 7.73 5.17 3.78 2.93 2.36 1.96 1.66 1.43

3.000 52.98 14.69 8.33 5.57 4.07 3.16 2.54 2.11 1.79 1.54

6.000 86.06 23.86 13.53 9.04 6.62 5.13 4.13 3.43 2.91 2.51

9.000 114.31 31.69 17.97 12.01 8.79 6.81 5.49 4.55 3.86 3.33

12.000 139.81 38.76 21.97 14.69 10.75 8.33 6.71 5.57 4.72 4.07

# Note for rectangular footings, B is the foundation width, whilst for circular footings, B is the foundation diameter.

Relationship Between Effective Angle of Shear Resistance, '

and SPT, N (Peck)

Very

Loose Loose

Medium

Dense Dense

Very

Dense

dry (kN/m3)

(sat (kN/m3))

<14

(<16)

14-16

(16-18)

16-17

(18-19)

17-19

(19-21)

>19

(>21)

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(Combined Elastic and One Dimensional Consolidation Theory Method) Total Settlement, (mm) for Cohesive Soils

in Terms of Coefficient of Volume Compressibility, mv (m2/MN) & Net (Effective) Working Pressure, qwnet' (kPa),

= k . mv . qwnet' where k is the Coefficient Tabled Below

& D (m)

# B (m) Circular L/B=1 L/B=2 L/B=5 L/B=10

0.000 0.300 0.26 0.29 0.41 0.58 0.69

0.000 0.600 0.53 0.58 0.82 1.17 1.38

0.000 0.900 0.79 0.87 1.24 1.75 2.07

0.000 1.200 1.05 1.16 1.65 2.34 2.77

0.000 1.500 1.31 1.45 2.06 2.92 3.46

0.000 1.800 1.58 1.74 2.47 3.51 4.15

0.000 2.100 1.84 2.03 2.89 4.09 4.84

0.000 2.400 2.10 2.32 3.30 4.68 5.53

0.000 2.700 2.37 2.61 3.71 5.26 6.22

0.000 3.000 2.63 2.90 4.12 5.85 6.91

0.000 6.000 5.26 5.79 8.25 11.69 13.83

0.000 9.000 7.89 8.69 12.37 17.54 20.74

0.000 12.000 10.52 11.59 16.50 23.38 27.65

0.300 0.300 0.26 0.29 0.41 0.58 0.69

0.300 0.600 0.53 0.58 0.82 1.17 1.38

0.300 0.900 0.79 0.87 1.24 1.75 2.07

0.300 1.200 1.05 1.16 1.65 2.34 2.77

0.300 1.500 1.31 1.45 2.06 2.92 3.46

0.300 1.800 1.58 1.74 2.47 3.51 4.15

0.300 2.100 1.84 2.03 2.89 4.09 4.84

0.300 2.400 2.10 2.32 3.30 4.68 5.53

0.300 2.700 2.37 2.61 3.71 5.26 6.22

0.300 3.000 2.63 2.90 4.12 5.85 6.91

0.300 6.000 5.26 5.79 8.25 11.69 13.83

0.300 9.000 7.89 8.69 12.37 17.54 20.74

0.300 12.000 10.52 11.59 16.50 23.38 27.65

0.600 0.300 0.26 0.29 0.41 0.58 0.69

0.600 0.600 0.53 0.58 0.82 1.17 1.38

0.600 0.900 0.79 0.87 1.24 1.75 2.07

0.600 1.200 1.05 1.16 1.65 2.34 2.77

0.600 1.500 1.31 1.45 2.06 2.92 3.46

0.600 1.800 1.58 1.74 2.47 3.51 4.15

0.600 2.100 1.84 2.03 2.89 4.09 4.84

Relationship Between Undrained Shear Strength, Su and

SPT, N (Stroud)

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

Su (kPa) <20 20-40 40-75 75-150 >150

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

dry (kN/m3)

sat (kN/m3) 16 17 18 19 20 21

Relationship Between Coefficient of Volume

Compressibility, mv and SPT, N

Compressibility Highest Higher Medium Lower Lowest

mv (m2/MN) >1.5 1.5-0.3 0.3-0.1 0.1-0.05 <0.05

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0.600 2.400 2.10 2.32 3.30 4.68 5.53

0.600 2.700 2.37 2.61 3.71 5.26 6.22

0.600 3.000 2.63 2.90 4.12 5.85 6.91

0.600 6.000 5.26 5.79 8.25 11.69 13.83

0.600 9.000 7.89 8.69 12.37 17.54 20.74

0.600 12.000 10.52 11.59 16.50 23.38 27.65

0.900 0.300 0.26 0.29 0.41 0.58 0.69

0.900 0.600 0.53 0.58 0.82 1.17 1.38

0.900 0.900 0.79 0.87 1.24 1.75 2.07

0.900 1.200 1.05 1.16 1.65 2.34 2.77

0.900 1.500 1.31 1.45 2.06 2.92 3.46

0.900 1.800 1.58 1.74 2.47 3.51 4.15

0.900 2.100 1.84 2.03 2.89 4.09 4.84

0.900 2.400 2.10 2.32 3.30 4.68 5.53

0.900 2.700 2.37 2.61 3.71 5.26 6.22

0.900 3.000 2.63 2.90 4.12 5.85 6.91

0.900 6.000 5.26 5.79 8.25 11.69 13.83

0.900 9.000 7.89 8.69 12.37 17.54 20.74

0.900 12.000 10.52 11.59 16.50 23.38 27.65

1.200 0.300 0.26 0.29 0.41 0.58 0.69

1.200 0.600 0.53 0.58 0.82 1.17 1.38

1.200 0.900 0.79 0.87 1.24 1.75 2.07

1.200 1.200 1.05 1.16 1.65 2.34 2.77

1.200 1.500 1.31 1.45 2.06 2.92 3.46

1.200 1.800 1.58 1.74 2.47 3.51 4.15

1.200 2.100 1.84 2.03 2.89 4.09 4.84

1.200 2.400 2.10 2.32 3.30 4.68 5.53

1.200 2.700 2.37 2.61 3.71 5.26 6.22

1.200 3.000 2.63 2.90 4.12 5.85 6.91

1.200 6.000 5.26 5.79 8.25 11.69 13.83

1.200 9.000 7.89 8.69 12.37 17.54 20.74

1.200 12.000 10.52 11.59 16.50 23.38 27.65

# Note for rectangular footings, B is the foundation width and L is the foundation length, whilst for circular footings, B is the foundation

diameter. & Note D is the depth of foundation founding level from ground level.

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16.0 STANDARD RC PAD FOUNDATION DESIGNS

The following soil properties are adopted:-

Dry bulk unit weight, dry = 18.0kN/m3

The following constants and relationships are adopted:-

Surcharge at surface, psurface = 0.0kPa

Note that (unlike retaining walls) surface surcharging increases overall net (effective) bearing capacity, thus

herewith conservatively is considered the case when there is no surcharge.

The design assumes that the footing is embedded within the soil to a depth equivalent to at least its thickness, T

(but may be deeper than its thickness), thus displacing the soil within the thickness of the footing. Therefore footing

sizing is as follows:-

Capacity Bearing )(EffectiveNet (Safe) Allowable

T x B x L x m/kN24)kN(F Load, SLS Column B x L

dry

3

SLS

Note no allowance has been made for resistance to column moments.

Moment and shear analyses are based on the following equations. Note the adopted loading factor, K = 1.50.

Gross ULS pressure, qw,ULS (kPa) = K.[FSLS+(24kN/m3-dry)]/(B.L)

Moment at column base face, M (kNm) = qw,ULS.L.[(B-b)/2]2/2

Moment at column base face per metre, M/L (kNm/m)

Shear force at column base face, Vult (kN) = qw,ULS.L.[(B-b)/2]

Shear force at column base face per metre, Vult/L (kN/m)

Shear force at 1.0d from column base face, V (kN) = qw,ULS.L.[(B-b)/2-d]

Shear force at 1.0d from column base face per metre, V/L (kN/m)

Design moments are evaluated at the face of the assumed column. The design is checked along both planes of

bending. Note the effective depth is calculated with respect to the more critical inner steel layer.

Moment design is based on the following equations.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Note covers as follows:-

pad bottom and sides 75mm

pad top 40mm

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Standard Pad Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 100 kPa

Pad

Dimension

L x B (mm)

+ Pad

Thickness,

T (mm)

[Cover 75mm]

Column

SLS Load,

FSLS (kN)

Minimum

Column

Size

b x h

(mm)

ULS Effects

# Reinforcement M/L

(kNm/m)

M/Ld2

(N/mm2)

Shear

Force,

Vult/L

(kN/m)

Shear

Force,

V/L

(kN/m)

450 x 450 200 0 ~ 15 150 x 225 1.3 0.11 16.7 4.8 3T12 EW

600 x 600 200 16 ~ 35 150 x 225 3.7 0.32 32.8 17.2 3T12 EW

750 x 750 200 36 ~ 50 150 x 225 6.0 0.52 40.0 25.7 4T12 EW

900 x 900 200 51 ~ 75 150 x 225 9.8 0.85 52.1 37.2 4T12 EW

1050 x 1050 200 76 ~ 100 150 x 225 13.8 1.20 61.2 46.7 5T12 EW

1200 x 1200 200 101 ~ 140 150 x 225 20.1 1.76 76.6 61.0 6T12 EW

1350 x 1350 250 141 ~ 175 150 x 225 25.9 1.05 86.4 63.8 6T12 EW

1500 x 1500 300 176 ~ 215 150 x 225 32.7 0.76 96.8 67.1 7T12 EW

1650 x 1650 300 216 ~ 250 150 x 225 38.7 0.90 103.3 74.8 8T12 EW

1800 x 1800 300 251 ~ 300 150 x 225 47.3 1.10 114.6 85.8 9T12 EW

1950 x 1950 350 301 ~ 350 150 x 225 55.9 0.89 124.3 89.6 9T16 EW

2100 x 2100 350 351 ~ 400 150 x 225 64.7 1.03 132.7 98.5 9T16 EW

2250 x 2250 400 401 ~ 475 150 x 225 77.6 0.86 147.8 105.4 10T16 EW

2400 x 2400 450 476 ~ 550 150 x 225 90.6 0.74 161.1 110.9 10T16 EW

2550 x 2550 450 551 ~ 600 180 x 250 97.2 0.79 164.0 115.4 11T16 EW

2700 x 2700 450 601 ~ 675 180 x 250 110.3 0.89 175.0 126.3 11T16 EW

2850 x 2850 500 676 ~ 750 180 x 250 123.4 0.79 184.9 130.2 12T20 EW

3000 x 3000 500 751 ~ 825 200 x 250 134.8 0.86 192.5 138.2 12T20 EW

# Note EW stands for each way.

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

Standard Pad Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 125 kPa

Pad

Dimension

L x B (mm)

+ Pad

Thickness,

T (mm)

[Cover 75mm]

Column

SLS Load,

FSLS (kN)

Minimum

Column

Size

b x h

(mm)

ULS Effects

# Reinforcement M/L

(kNm/m)

M/Ld2

(N/mm2)

Shear

Force,

Vult/L

(kN/m)

Shear

Force,

V/L

(kN/m)

450 x 450 200 0 ~ 20 150 x 225 1.7 0.15 22.2 6.4 3T12 EW

600 x 600 200 21 ~ 40 150 x 225 4.2 0.37 37.5 19.7 3T12 EW

750 x 750 200 41 ~ 65 150 x 225 7.8 0.68 52.0 33.5 4T12 EW

900 x 900 200 66 ~ 95 150 x 225 12.4 1.08 66.0 47.1 4T12 EW

1050 x 1050 200 96 ~ 130 150 x 225 17.9 1.56 79.6 60.7 5T12 EW

1200 x 1200 250 131 ~ 170 150 x 225 24.4 0.99 93.0 65.2 6T12 EW

1350 x 1350 250 171 ~ 220 150 x 225 32.6 1.32 108.6 80.2 6T12 EW

1500 x 1500 300 221 ~ 270 150 x 225 41.0 0.96 121.5 84.2 7T12 EW

T

T T

Valid - Embedded

Beyond Thickness

With Backfill

Valid - Embedded

To Thickness

Conservative -

Embedded Beyond

Thickness Without Backfill

Ground Level

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1650 x 1650 350 271 ~ 320 150 x 225 49.6 0.79 132.2 88.0 8T16 EW

1800 x 1800 350 321 ~ 375 150 x 225 59.1 0.94 143.2 99.7 9T16 EW

1950 x 1950 350 376 ~ 450 150 x 225 71.9 1.14 159.8 115.2 9T16 EW

2100 x 2100 400 451 ~ 525 150 x 225 84.9 0.94 174.1 120.4 9T16 EW

2250 x 2250 400 526 ~ 600 180 x 250 95.2 1.05 184.0 130.5 10T16 EW

2400 x 2400 450 601 ~ 675 180 x 250 108.3 0.88 195.1 133.4 10T16 EW

2550 x 2550 500 676 ~ 750 180 x 250 121.5 0.78 205.0 136.7 11T20 EW

2700 x 2700 500 751 ~ 850 250 x 250 131.2 0.84 214.2 145.2 11T20 EW

2850 x 2850 500 851 ~ 950 250 x 250 148.2 0.95 228.1 158.8 12T20 EW

3000 x 3000 550 951 ~ 1050 275 x 275 162.4 0.82 238.4 160.6 12T20 EW

# Note EW stands for each way.

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

Standard Pad Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 150 kPa

Pad

Dimension

L x B (mm)

+ Pad

Thickness,

T (mm)

[Cover 75mm]

Column

SLS Load,

FSLS (kN)

Minimum

Column

Size

b x h

(mm)

ULS Effects

# Reinforcement M/L

(kNm/m)

M/Ld2

(N/mm2)

Shear

Force,

Vult/L

(kN/m)

Shear

Force,

V/L

(kN/m)

450 x 450 200 0 ~ 25 150 x 225 2.1 0.18 27.8 8.0 3T12 EW

600 x 600 200 26 ~ 50 150 x 225 5.3 0.46 46.9 24.6 3T12 EW

750 x 750 200 51 ~ 80 150 x 225 9.6 0.84 64.0 41.2 4T12 EW

900 x 900 200 81 ~ 110 150 x 225 14.3 1.25 76.4 54.6 4T12 EW

1050 x 1050 250 111 ~ 155 150 x 225 21.4 0.87 94.9 61.8 5T12 EW

1200 x 1200 250 156 ~ 210 150 x 225 30.1 1.22 114.8 80.5 6T12 EW

1350 x 1350 300 211 ~ 245 150 x 225 36.3 0.85 121.0 79.2 6T12 EW

1500 x 1500 350 246 ~ 315 150 x 225 47.8 0.76 141.8 89.0 7T16 EW

1650 x 1650 350 316 ~ 385 150 x 225 59.7 0.95 159.1 105.8 8T16 EW

1800 x 1800 350 386 ~ 450 150 x 225 70.9 1.13 171.9 119.6 9T16 EW

1950 x 1950 400 451 ~ 525 150 x 225 83.9 0.93 186.4 124.1 9T16 EW

2100 x 2100 400 526 ~ 600 180 x 250 94.0 1.04 195.9 134.5 9T16 EW

2250 x 2250 450 601 ~ 700 180 x 250 111.1 0.90 214.7 141.9 10T16 EW

2400 x 2400 500 701 ~ 800 200 x 250 126.0 0.81 229.2 146.9 10T20 EW

2550 x 2550 500 801 ~ 900 250 x 250 137.3 0.88 238.8 156.7 11T20 EW

2700 x 2700 500 901 ~ 1000 250 x 250 154.4 0.99 252.1 170.8 11T20 EW

2850 x 2850 550 1001 ~ 1100 275 x 275 168.4 0.85 261.5 171.1 12T20 EW

3000 x 3000 550 1101 ~ 1200 275 x 275 185.6 0.94 272.5 183.5 12T20 EW

# Note EW stands for each way.

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

Standard Pad Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 175 kPa

Pad

Dimension

L x B (mm)

+ Pad

Thickness,

T (mm)

[Cover 75mm]

Column

SLS Load,

FSLS (kN)

Minimum

Column

Size

b x h

(mm)

ULS Effects

# Reinforcement M/L

(kNm/m)

M/Ld2

(N/mm2)

Shear

Force,

Vult/L

(kN/m)

Shear

Force,

V/L

(kN/m)

450 x 450 200 0 ~ 30 150 x 225 2.5 0.22 33.3 9.6 3T12 EW

600 x 600 200 31 ~ 60 150 x 225 6.3 0.55 56.3 29.5 3T12 EW

750 x 750 200 61 ~ 90 150 x 225 10.8 0.94 72.0 46.3 4T12 EW

900 x 900 200 91 ~ 135 150 x 225 17.6 1.54 93.8 67.0 4T12 EW

1050 x 1050 250 136 ~ 180 150 x 225 24.8 1.01 110.2 71.8 5T12 EW

1200 x 1200 250 181 ~ 240 150 x 225 34.5 1.40 131.3 92.0 6T12 EW

1350 x 1350 350 241 ~ 300 150 x 225 44.4 0.71 148.1 86.2 6T16 EW

1500 x 1500 350 301 ~ 370 150 x 225 56.2 0.89 166.5 104.6 7T16 EW

1650 x 1650 350 371 ~ 450 150 x 225 69.7 1.11 186.0 123.7 8T16 EW

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1800 x 1800 400 451 ~ 525 150 x 225 82.7 0.91 200.5 127.4 9T16 EW

1950 x 1950 400 526 ~ 600 180 x 250 92.7 1.02 209.5 138.2 9T16 EW

2100 x 2100 450 601 ~ 725 180 x 250 113.6 0.92 236.7 150.2 9T16 EW

2250 x 2250 500 726 ~ 825 200 x 250 128.4 0.82 250.6 154.0 10T20 EW

2400 x 2400 500 826 ~ 925 250 x 250 139.2 0.89 259.0 163.8 10T20 EW

2550 x 2550 500 926 ~ 1025 250 x 250 156.4 1.00 271.9 178.5 11T20 EW

2700 x 2700 550 1026 ~ 1125 275 x 275 170.2 0.86 280.7 177.7 11T20 EW

2850 x 2850 600 1126 ~ 1250 275 x 275 191.3 0.78 297.2 182.9 12T20 EW

3000 x 3000 650 1251 ~ 1450 300 x 300 220.2 0.74 326.3 194.5 12T20 EW

# Note EW stands for each way.

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

Standard Pad Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 200 kPa

Pad

Dimension

L x B (mm)

+ Pad

Thickness,

T (mm)

[Cover 75mm]

Column

SLS Load,

FSLS (kN)

Minimum

Column

Size

b x h

(mm)

ULS Effects

# Reinforcement M/L

(kNm/m)

M/Ld2

(N/mm2)

Shear

Force,

Vult/L

(kN/m)

Shear

Force,

V/L

(kN/m)

450 x 450 200 0 ~ 35 150 x 225 2.9 0.25 38.9 11.1 3T12 EW

600 x 600 200 36 ~ 70 150 x 225 7.4 0.64 65.6 34.4 3T12 EW

750 x 750 200 71 ~ 100 150 x 225 12.0 1.05 80.0 51.5 4T12 EW

900 x 900 200 101 ~ 150 150 x 225 19.5 1.71 104.2 74.4 4T12 EW

1050 x 1050 250 151 ~ 200 150 x 225 27.6 1.12 122.4 79.7 5T12 EW

1200 x 1200 300 201 ~ 270 150 x 225 38.8 0.90 147.7 89.4 6T12 EW

1350 x 1350 350 271 ~ 340 150 x 225 50.4 0.80 167.9 97.7 6T16 EW

1500 x 1500 350 341 ~ 420 150 x 225 63.8 1.01 189.0 118.7 7T16 EW

1650 x 1650 400 421 ~ 510 150 x 225 79.0 0.87 210.7 126.2 8T16 EW

1800 x 1800 400 511 ~ 610 180 x 250 92.6 1.02 228.8 143.7 9T16 EW

1950 x 1950 450 611 ~ 710 180 x 250 109.7 0.89 247.9 149.6 9T16 EW

2100 x 2100 500 711 ~ 810 200 x 250 124.3 0.80 261.7 152.9 9T20 EW

2250 x 2250 500 811 ~ 940 250 x 250 139.3 0.89 278.5 168.5 10T20 EW

2400 x 2400 500 941 ~ 1050 275 x 275 154.3 0.99 290.5 182.5 10T20 EW

2550 x 2550 550 1051 ~ 1200 275 x 275 179.1 0.90 314.9 191.7 11T20 EW

2700 x 2700 600 1201 ~ 1350 300 x 300 200.0 0.82 333.3 195.8 11T20 EW

2850 x 2850 650 1351 ~ 1500 300 x 300 225.2 0.76 353.2 202.2 12T20 EW

3000 x 3000 700 1501 ~ 1650 325 x 325 246.0 0.69 367.8 204.2 12T20 EW

# Note EW stands for each way.

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

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105

17.0 STANDARD RC STRIP FOUNDATION DESIGNS

The following soil properties are adopted:-

Dry bulk unit weight, dry = 18.0kN/m3

The following constants and relationships are adopted:-

Surcharge at surface, psurface = 0.0kPa

Note that (unlike retaining walls) surface surcharging increases overall net (effective) bearing capacity, thus

herewith conservatively is considered the case when there is no surcharge.

The design assumes that the footing is embedded within the soil to a depth equivalent to at least its thickness, T

(but may be deeper than its thickness), thus displacing the soil within the thickness of the footing. Therefore footing

sizing is as follows:-

Capacity Bearing )(EffectiveNet (Safe) Allowable

T x B x m/kN24)m/kN(F Load, SLS Column B

dry

3

SLS

Note no allowance has been made for resistance to wall moments.

Moment and shear analyses are based on the following equations. Note the adopted loading factor, K = 1.50.

Gross ULS pressure, qw,ULS (kPa) = K.[FSLS+(24kN/m3-dry)]/B

Moment at wall face, M (kNm/m) = qw,ULS.L.[(B-b)/2]2/2

Shear force at wall face, Vult (kN/m) = qw,ULS.L.[(B-b)/2]

Shear force at 1.0d from wall face, V (kN/m) = qw,ULS.L.[(B-b)/2-d]

Design moments are evaluated at the face of the assumed wall.

Moment design is based on the following equations.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

Note covers as follows:-

strip bottom and sides 75mm

strip top 40mm

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106

Standard Strip Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 100 kPa

Strip Dimension

B (mm)

+ Strip

Thickness,

T (mm)

[Cover 75mm]

# Wall SLS

Load, FSLS

(kN/m)

ULS Effects

# Reinforcement M

(kNm/m)

M/1000.d2

(N/mm2)

Shear

Force, Vult

(kN/m)

Shear

Force, V

(kN/m)

450 200 33 1.2 0.09 16.5 3.4 T12-140

600 200 58 3.7 0.26 32.6 15.4 T12-210

750 200 66 5.9 0.42 39.6 23.9 T12-190

900 200 83 9.7 0.69 51.9 35.4 T12-240

1050 200 95 13.7 0.97 61.1 44.9 T12-220

1200 200 116 20.0 1.41 76.1 58.9 T12-200

1350 250 129 25.8 0.90 86.0 61.8 T12-230

1500 300 143 32.6 0.68 96.5 65.2 T12-220

1650 300 151 38.6 0.80 103.0 72.9 T12-210

1800 300 166 47.1 0.98 114.1 83.8 T12-200

1950 350 179 55.8 0.78 123.9 87.2 T16-220

2100 350 190 64.5 0.90 132.3 96.1 T16-240

2250 400 211 77.5 0.77 147.7 103.1 T16-230

2400 450 229 90.6 0.67 161.0 108.5 T16-240

2550 450 235 99.5 0.74 165.9 115.2 T16-230

2700 450 250 112.9 0.84 177.1 126.1 T16-250

2850 500 263 126.1 0.73 186.9 129.4 T20-240

3000 500 275 139.6 0.81 195.9 138.9 T20-250

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

# Note minimum wall thickness assumed 150mm.

Standard Strip Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 125 kPa

Strip Dimension

B (mm)

+ Strip

Thickness,

T (mm)

[Cover 75mm]

# Wall SLS

Load, FSLS

(kN/m)

ULS Effects

# Reinforcement M

(kNm/m)

M/1000.d2

(N/mm2)

Shear

Force, Vult

(kN/m)

Shear

Force, V

(kN/m)

450 200 44 1.7 0.12 22.0 4.5 T12-140

600 200 66 4.2 0.29 37.1 17.5 T12-210

750 200 86 7.7 0.55 51.6 31.1 T12-190

900 200 105 12.3 0.87 65.6 44.8 T12-240

1050 200 123 17.8 1.26 79.1 58.2 T12-220

1200 250 141 24.3 0.85 92.5 62.7 T12-200

1350 250 162 32.4 1.13 108.0 77.6 T12-230

1500 300 180 41.0 0.85 121.5 82.1 T12-220

T

T T

Valid - Embedded

Beyond Thickness

With Backfill

Valid - Embedded

To Thickness

Conservative -

Embedded Beyond

Thickness Without Backfill

Ground Level

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107

1650 350 193 49.3 0.69 131.6 84.7 T16-210

1800 350 208 59.0 0.83 143.0 96.7 T16-200

1950 350 230 71.7 1.01 159.2 112.0 T16-220

2100 400 250 84.9 0.84 174.1 117.5 T16-240

2250 400 266 97.8 0.97 186.2 130.0 T16-230

2400 450 281 111.1 0.83 197.6 133.1 T16-240

2550 500 294 124.5 0.72 207.5 135.8 T20-230

2700 500 314 141.8 0.82 222.4 150.0 T20-250

2850 500 333 159.7 0.93 236.6 163.9 T20-240

3000 550 350 177.7 0.82 249.4 168.0 T20-250

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

# Note minimum wall thickness assumed 150mm.

Standard Strip Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 150 kPa

Strip Dimension

B (mm)

+ Strip

Thickness,

T (mm)

[Cover 75mm]

# Wall SLS

Load, FSLS

(kN/m)

ULS Effects

# Reinforcement M

(kNm/m)

M/1000.d2

(N/mm2)

Shear

Force, Vult

(kN/m)

Shear

Force, V

(kN/m)

450 200 55 2.1 0.15 27.5 5.7 T12-140

600 200 83 5.3 0.37 46.7 22.0 T12-210

750 200 106 9.5 0.67 63.6 38.4 T12-190

900 200 122 14.3 1.01 76.3 52.1 T12-240

1050 250 147 21.3 0.74 94.5 59.0 T12-220

1200 250 175 30.1 1.06 114.8 77.9 T12-200

1350 300 181 36.2 0.75 120.7 76.6 T12-230

1500 350 210 47.8 0.67 141.8 85.7 T16-220

1650 350 233 59.6 0.84 158.9 102.3 T16-210

1800 350 250 70.9 0.99 171.9 116.3 T16-200

1950 400 269 83.8 0.83 186.2 120.6 T16-220

2100 400 285 96.8 0.96 198.5 134.0 T16-240

2250 450 311 114.3 0.85 217.7 141.6 T16-230

2400 500 333 131.7 0.76 234.1 147.8 T20-240

2550 500 352 149.1 0.87 248.5 162.5 T20-230

2700 500 370 167.1 0.97 262.1 176.8 T20-250

2850 550 385 184.6 0.85 273.6 179.3 T20-240

3000 550 400 203.1 0.94 285.0 192.0 T20-250

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

# Note minimum wall thickness assumed 150mm.

Standard Strip Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 175 kPa

Strip Dimension

B (mm)

+ Strip

Thickness,

T (mm)

[Cover 75mm]

# Wall SLS

Load, FSLS

(kN/m)

ULS Effects

# Reinforcement M

(kNm/m)

M/1000.d2

(N/mm2)

Shear

Force, Vult

(kN/m)

Shear

Force, V

(kN/m)

450 200 66 2.5 0.17 33.0 6.8 T12-140

600 200 100 6.3 0.45 56.3 26.5 T12-210

750 200 120 10.8 0.76 72.0 43.4 T12-190

900 200 150 17.6 1.24 93.8 64.0 T12-240

1050 250 171 24.7 0.87 109.9 68.6 T12-220

1200 250 200 34.5 1.21 131.3 89.0 T12-200

1350 350 222 44.4 0.62 148.0 82.1 T16-230

1500 350 246 56.0 0.79 166.1 100.4 T16-220

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108

1650 350 272 69.5 0.98 185.5 119.4 T16-210

1800 400 291 82.5 0.82 200.1 123.2 T16-200

1950 400 307 95.6 0.95 212.5 137.7 T16-220

2100 450 345 117.1 0.87 240.3 149.8 T16-240

2250 500 366 134.5 0.78 256.2 154.9 T20-230

2400 500 385 152.3 0.88 270.7 170.8 T20-240

2550 500 401 169.8 0.99 283.1 185.2 T20-230

2700 550 416 187.9 0.87 294.7 187.2 T20-250

2850 600 438 210.1 0.79 311.2 192.5 T20-240

3000 650 483 245.2 0.77 344.1 207.7 T20-250

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

# Note minimum wall thickness assumed 150mm.

Standard Strip Designs for an Allowable (Safe) Net (Effective) Bearing Capacity of 200 kPa

Strip Dimension

B (mm)

+ Strip

Thickness,

T (mm)

[Cover 75mm]

# Wall SLS

Load, FSLS

(kN/m)

ULS Effects

# Reinforcement M

(kNm/m)

M/1000.d2

(N/mm2)

Shear

Force, Vult

(kN/m)

Shear

Force, V

(kN/m)

450 200 77 2.9 0.20 38.5 8.0 T12-140

600 200 116 7.3 0.52 65.3 30.7 T12-210

750 200 133 12.0 0.85 79.8 48.1 T12-190

900 200 166 19.5 1.37 103.8 70.8 T12-240

1050 250 190 27.5 0.96 122.1 76.3 T12-220

1200 300 225 38.8 0.81 147.7 86.1 T12-200

1350 350 251 50.2 0.70 167.3 92.9 T16-230

1500 350 280 63.8 0.89 189.0 114.2 T16-220

1650 400 309 79.0 0.79 210.7 121.6 T16-210

1800 400 338 95.9 0.95 232.4 143.1 T16-200

1950 450 364 113.4 0.84 252.0 149.2 T16-220

2100 500 385 130.7 0.76 268.1 154.0 T20-240

2250 500 417 153.2 0.89 291.9 176.5 T20-230

2400 500 437 172.8 1.00 307.3 193.9 T20-210

2550 550 470 199.1 0.92 331.8 203.2 T20-210

2700 600 500 225.8 0.85 354.2 211.1 T20-220

2850 650 526 252.3 0.79 373.7 217.3 T20-220

3000 700 550 279.2 0.74 391.9 222.8 T20-230

+ Note consideration should also be to shallow foundation exclusion zone and/or minimum founding depth requirements in cohesive soils due to

water demand of trees and seasonal volume changes, e.g. NHBC.

# Note minimum wall thickness assumed 150mm.

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18.0 STANDARD RC SOLID RAFT / STRIPPED RAFT FOUNDATION DESIGNS

Moment design is based on the following equations.

Note for stripped raft beam moment design, only rectangular sections are considered, the beneficial effect of the

slab acting as an extended compression flange (i.e. the T-beam) is not considered.

Shear design is based on the following equations.

vc = (0.79/1.25)(wfcu/25)1/3(400/d)1/4; w<3; fcu<40; (400/d)1/4>0.67

for slabs

for beams

Deflection design is not undertaken as its effects are to be assessed from a global raft analysis.

Note covers as follows:-

solid raft slab top 40+ mm

solid raft slab bottom 75+ mm

stripped raft slab top 40+ mm

stripped raft slab bottom 40+ mm

stripped raft beam top 40+transverse slab rebar mm

stripped raft beam bottom 75mm

The covers specified above, where relevant, includes an additional allowance of 1.0 x bar diameter, in

recognition of the fact that the critical effective depth is reduced for the second layer of reinforcement, i.e. for

layers T2 and B2 as compared to layers T1 and B1.

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Solid Raft Slab

Thickness (mm)

[Cover 75+mm]

Bottom Reinforcement ULS Capacities

Size & Pitch

(mm)

Area

(mm2/m)

Percentage

Steel (%)

Sagging Bending Moment Shear Force,

V (kN/m) M (kNm/m)

M/1000.d2

(N/mm2)

300 T10-200 393 0.13 34 0.77 94

300 T10-150 524 0.17 45 1.02 104

300 T12-200 565 0.19 48 1.12 106

300 T12-150 754 0.25 64 1.49 117

300 T10-100 785 0.26 67 1.52 119

300 T16-200 1005 0.34 81 2.00 127

300 T12-100 1131 0.38 93 2.17 133

300 T16-150 1340 0.45 105 2.60 140

300 T20-200 1571 0.52 116 3.05 145

300 T16-100 2011 0.67 147 3.64 160

300 T20-150 2094 0.70 147 3.87 160

300 T25-200 2454 0.82 158 4.49 166

300 T20-100 3142 1.05 177 4.65 183

450 T12-150 754 0.17 111 0.87 146

450 T10-100 785 0.17 117 0.90 149

450 T16-200 1005 0.22 146 1.19 160

450 T12-100 1131 0.25 167 1.31 168

450 T16-150 1340 0.30 192 1.56 176

450 T20-200 1571 0.35 219 1.84 184

450 T16-100 2011 0.45 279 2.26 202

450 T20-150 2094 0.47 284 2.39 203

450 T25-200 2454 0.55 319 2.80 212

450 T20-100 3142 0.70 403 3.39 233

450 T25-150 3272 0.73 406 3.56 234

450 T25-100 4909 1.09 533 4.68 267

600 T10-100 785 0.13 166 0.64 172

600 T16-200 1005 0.17 209 0.83 186

600 T12-100 1131 0.19 238 0.93 194

600 T16-150 1340 0.22 278 1.11 204

600 T20-200 1571 0.26 322 1.31 214

600 T16-100 2011 0.34 411 1.64 234

600 T20-150 2094 0.35 422 1.72 236

600 T25-200 2454 0.41 480 2.02 247

600 T20-100 3142 0.52 609 2.49 270

600 T25-150 3272 0.55 621 2.61 272

600 T25-100 4909 0.82 875 3.68 312

600 2T20-100 6283 1.05 1018 4.56 334

Cover 75+mm

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750 T16-200 1005 0.13 271 0.64 207

750 T12-100 1131 0.15 308 0.71 216

750 T16-150 1340 0.18 362 0.85 228

750 T20-200 1571 0.21 420 1.01 240

750 T16-100 2011 0.27 543 1.28 261

750 T20-150 2094 0.28 559 1.34 264

750 T25-200 2454 0.33 641 1.58 277

750 T20-100 3142 0.42 815 1.96 302

750 T25-150 3272 0.44 835 2.05 305

750 T25-100 4909 0.65 1197 2.95 349

750 2T20-100 6283 0.84 1429 3.69 375

750 2T25-150 6545 0.87 1448 3.86 378

750 2T25-100 9817 1.31 1755 4.68 432

900 T16-150 1340 0.15 445 0.69 249

900 T20-200 1571 0.17 518 0.82 261

900 T16-100 2011 0.22 668 1.04 285

900 T20-150 2094 0.23 691 1.09 288

900 T25-200 2454 0.27 802 1.29 302

900 T20-100 3142 0.35 1021 1.62 329

900 T25-150 3272 0.36 1050 1.69 333

900 T25-100 4909 0.55 1518 2.45 381

900 2T20-100 6283 0.70 1841 3.09 410

900 2T25-150 6545 0.73 1877 3.23 414

900 2T25-100 9817 1.09 2589 4.45 474

Solid Raft Slab

Thickness (mm)

[Cover 40+mm]

Top Reinforcement ULS Capacities

Size & Pitch

(mm)

Area

(mm2/m)

Percentage

Steel (%)

Hogging Bending Moment Shear Force,

V (kN/m) M (kNm/m)

M/1000.d2

(N/mm2)

300 T10-200 393 0.13 39 0.65 101

300 T10-150 524 0.17 53 0.88 111

300 T12-200 565 0.19 56 0.96 113

300 T12-150 754 0.25 75 1.28 124

300 T10-100 785 0.26 79 1.32 127

300 T16-200 1005 0.34 96 1.72 136

300 T12-100 1131 0.38 110 1.88 143

300 T16-150 1340 0.45 125 2.24 149

300 T20-200 1571 0.52 140 2.65 156

300 T16-100 2011 0.67 178 3.20 171

300 T20-150 2094 0.70 179 3.38 171

300 T25-200 2454 0.82 196 3.96 178

300 T20-100 3142 1.05 245 4.63 196

Cover 40+mm

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450 T12-150 754 0.17 122 0.79 152

450 T10-100 785 0.17 128 0.82 155

450 T16-200 1005 0.22 161 1.08 167

450 T12-100 1131 0.25 184 1.20 174

450 T16-150 1340 0.30 213 1.43 183

450 T20-200 1571 0.35 243 1.68 192

450 T16-100 2011 0.45 310 2.08 210

450 T20-150 2094 0.47 316 2.19 211

450 T25-200 2454 0.55 357 2.57 221

450 T20-100 3142 0.70 451 3.12 242

450 T25-150 3272 0.73 456 3.29 243

450 T25-100 4909 1.09 628 4.53 279

600 T10-100 785 0.13 177 0.60 177

600 T16-200 1005 0.17 223 0.78 191

600 T12-100 1131 0.19 254 0.86 200

600 T16-150 1340 0.22 298 1.04 210

600 T20-200 1571 0.26 345 1.23 221

600 T16-100 2011 0.34 442 1.54 241

600 T20-150 2094 0.35 454 1.62 243

600 T25-200 2454 0.41 517 1.89 255

600 T20-100 3142 0.52 657 2.34 278

600 T25-150 3272 0.55 671 2.46 280

600 T25-100 4909 0.82 950 3.48 321

600 2T20-100 6283 1.05 1114 4.33 344

750 T16-200 1005 0.13 286 0.61 212

750 T12-100 1131 0.15 324 0.68 221

750 T16-150 1340 0.18 381 0.81 233

750 T20-200 1571 0.21 443 0.96 245

750 T16-100 2011 0.27 572 1.22 267

750 T20-150 2094 0.28 591 1.28 270

750 T25-200 2454 0.33 678 1.50 283

750 T20-100 3142 0.42 863 1.87 309

750 T25-150 3272 0.44 886 1.96 311

750 T25-100 4909 0.65 1272 2.81 357

750 2T20-100 6283 0.84 1526 3.53 384

750 2T25-150 6545 0.87 1549 3.69 386

750 2T25-100 9817 1.31 1962 4.68 442

900 T16-150 1340 0.15 465 0.67 253

900 T20-200 1571 0.17 541 0.79 266

900 T16-100 2011 0.22 697 1.00 290

900 T20-150 2094 0.23 721 1.05 293

900 T25-200 2454 0.27 838 1.24 308

900 T20-100 3142 0.35 1069 1.55 335

900 T25-150 3272 0.36 1100 1.63 339

900 T25-100 4909 0.55 1593 2.35 388

900 2T20-100 6283 0.70 1937 2.97 418

900 2T25-150 6545 0.73 1978 3.11 422

900 2T25-100 9817 1.09 2739 4.31 483

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Stripped Raft Slab

Thickness (mm)

[Cover 40+mm]

Bottom / Top Reinforcement ULS Capacities

Size & Pitch

(mm)

Area

(mm2/m)

Percentage

Steel (%)

Sagging / Hogging

Bending Moment Shear Force,

V (kN/m) M (kNm/m)

M/1000.d2

(N/mm2)

125 T10-200 393 0.31 10 2.04 59

125 T10-150 524 0.42 14 2.86 65

125 T12-200 565 0.45 14 3.12 66

125 T12-150 754 0.60 18 4.01 73

125 T10-100 785 0.63 19 3.88 75

125 T12-100 1131 0.90 21 4.68 83

150 T10-200 393 0.26 15 1.66 68

150 T10-150 524 0.35 19 2.11 74

150 T12-200 565 0.38 20 2.36 75

150 T12-150 754 0.50 26 3.07 83

150 T10-100 785 0.52 28 3.10 85

150 T16-200 1005 0.67 30 4.06 89

150 T12-100 1131 0.75 36 4.25 95

175 T10-200 393 0.22 19 1.32 75

175 T10-150 524 0.30 25 1.74 82

175 T12-200 565 0.32 26 1.90 83

175 T12-150 754 0.43 34 2.48 92

175 T10-100 785 0.45 36 2.50 94

175 T16-200 1005 0.57 41 3.33 99

175 T12-100 1131 0.65 48 3.51 105

175 T16-150 1340 0.77 52 4.22 109

175 T16-100 2011 1.15 57 4.63 125

200 T10-200 393 0.20 23 1.09 81

200 T10-150 524 0.26 31 1.47 89

200 T12-200 565 0.28 32 1.59 90

200 T12-150 754 0.38 42 2.08 100

200 T10-100 785 0.39 45 2.14 102

200 T16-200 1005 0.50 52 2.81 108

200 T12-100 1131 0.57 61 3.03 114

200 T16-150 1340 0.67 66 3.57 119

200 T20-200 1571 0.79 71 4.20 123

200 T16-100 2011 1.01 86 4.65 136

225 T10-200 393 0.17 27 0.93 86

225 T10-150 524 0.23 36 1.25 95

225 T12-200 565 0.25 39 1.40 97

225 T12-150 754 0.34 51 1.83 107

225 T10-100 785 0.35 53 1.83 109

Cover 40+mm

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225 T16-200 1005 0.45 63 2.43 116

225 T12-100 1131 0.50 73 2.62 122

225 T16-150 1340 0.60 81 3.12 127

225 T20-200 1571 0.70 88 3.66 132

225 T16-100 2011 0.89 112 4.32 146

250 T10-200 393 0.16 31 0.82 91

250 T10-150 524 0.21 42 1.10 101

250 T12-200 565 0.23 45 1.22 103

250 T12-150 754 0.30 59 1.60 113

250 T10-100 785 0.31 62 1.63 115

250 T16-200 1005 0.40 74 2.14 123

250 T12-100 1131 0.45 85 2.31 129

250 T16-150 1340 0.54 96 2.77 135

250 T20-200 1571 0.63 106 3.27 141

250 T16-100 2011 0.80 134 3.87 155

250 T20-150 2094 0.84 133 4.10 155

250 T25-200 2454 0.98 139 4.67 160

250 T20-100 3142 1.26 151 4.66 177

275 T10-200 393 0.14 35 0.72 96

275 T10-150 524 0.19 47 0.97 106

275 T12-200 565 0.21 50 1.06 108

275 T12-150 754 0.27 67 1.42 119

275 T10-100 785 0.29 71 1.47 121

275 T16-200 1005 0.37 85 1.91 129

275 T12-100 1131 0.41 98 2.08 136

275 T16-150 1340 0.49 110 2.47 142

275 T20-200 1571 0.57 123 2.93 148

275 T16-100 2011 0.73 156 3.50 163

275 T20-150 2094 0.76 156 3.71 163

275 T25-200 2454 0.89 169 4.33 170

275 T20-100 3142 1.14 196 4.66 187

300 T10-200 393 0.13 39 0.65 101

300 T10-150 524 0.17 53 0.88 111

300 T12-200 565 0.19 56 0.96 113

300 T12-150 754 0.25 75 1.28 124

300 T10-100 785 0.26 79 1.32 127

300 T16-200 1005 0.34 96 1.72 136

300 T12-100 1131 0.38 110 1.88 143

300 T16-150 1340 0.45 125 2.24 149

300 T20-200 1571 0.52 140 2.65 156

300 T16-100 2011 0.67 178 3.20 171

300 T20-150 2094 0.70 179 3.38 171

300 T25-200 2454 0.82 196 3.96 178

300 T20-100 3142 1.05 245 4.63 196

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Stripped Raft

Beam Size

(b x h)

* [Cover 75mm]

Bottom / Top Reinforcement

# Shear Links

ULS Capacities

+ Number &

Size (mm) Area (mm

2)

Percentage

Steel (%)

Sagging / Hogging

Bending Moment # Shear

Force, V (kN) M (kNm)

M/bd2

(N/mm2)

350 x 450 4T12 452 0.29 3R8-250 67 1.47 44

350 x 450 4T16 804 0.51 3R8-250 113 2.51 75

350 x 450 2x4T12 905 0.57 3R8-250 118 2.87 79

350 x 450 4T20 1257 0.80 3R8-250 164 3.68 109

350 x 450 2x4T16 1608 1.02 3R8-250 185 4.61 123

350 x 450 4T25 1963 1.25 3R8-250 205 4.66 137

350 x 600 4T12 452 0.22 3R8-250 95 1.04 63

350 x 600 4T16 804 0.38 3R8-250 165 1.82 110

350 x 600 2x4T12 905 0.43 3R8-250 178 2.10 118

350 x 600 4T20 1257 0.60 3R8-250 246 2.73 164

350 x 600 2x4T16 1608 0.77 3R8-200 291 3.48 194

350 x 600 4T25 1963 0.93 3R8-150 354 3.97 236

350 x 600 2x4T20 2513 1.20 3R10-200 381 4.68 254

350 x 750 4T12 452 0.17 3R8-250 124 0.81 82

350 x 750 4T16 804 0.31 3R8-250 218 1.43 145

350 x 750 2x4T12 905 0.34 3R8-250 237 1.64 158

350 x 750 4T20 1257 0.48 3R8-200 328 2.17 219

350 x 750 2x4T16 1608 0.61 3R8-150 396 2.78 264

350 x 750 4T25 1963 0.75 3R10-175 481 3.23 321

350 x 750 2x4T20 2513 0.96 3T10-250 566 4.04 377

350 x 750 2x4T25 3927 1.50 3T10-225 644 4.67 429

350 x 900 4T12 452 0.14 3R8-250 152 0.66 101

350 x 900 4T16 804 0.26 3R8-250 270 1.18 180

350 x 900 2x4T12 905 0.29 3R8-250 296 1.35 197

350 x 900 4T20 1257 0.40 3R8-175 411 1.80 274

350 x 900 2x4T16 1608 0.51 3R10-200 500 2.31 333

350 x 900 4T25 1963 0.62 3R10-150 610 2.71 407

350 x 900 2x4T20 2513 0.80 3T10-225 731 3.41 487

350 x 900 2x4T25 3927 1.25 3T10-150 990 4.68 660

350 x 1050 4T16 804 0.22 3R8-250 320 0.99 213

350 x 1050 2x4T12 905 0.25 3R8-250 354 1.14 236

350 x 1050 4T20 1257 0.34 3R10-250 492 1.54 328

350 x 1050 2x4T16 1608 0.44 3R10-175 605 1.97 403

350 x 1050 4T25 1963 0.53 3R10-150 739 2.33 492

350 x 1050 2x4T20 2513 0.68 3T10-200 896 2.94 597

350 x 1050 2x4T25 3927 1.07 3T12-200 1276 4.26 850

350 x 1200 4T16 804 0.19 3R8-250 370 0.86 246

Cover 75mm

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350 x 1200 2x4T12 905 0.22 3R8-250 410 0.98 273

350 x 1200 4T20 1257 0.30 3R10-250 574 1.34 383

350 x 1200 2x4T16 1608 0.38 3R10-175 711 1.72 474

350 x 1200 4T25 1963 0.47 3T10-250 868 2.04 578

350 x 1200 2x4T20 2513 0.60 3T10-200 1061 2.59 707

350 x 1200 2x4T25 3927 0.93 3T12-175 1533 3.79 1022

* Note cover taken as 75mm for top reinforcement in recognition of the fact that the cover to the longitudinal reinforcement will be increased due to

the need to accommodate the transverse slab reinforcement.

+ Note where multiple layers of reinforcement are employed, the adopted minimum clear distance between layers is 25mm.

# Note shear links designed for chosen shear force corresponding to bending moment capacity of an arbitrary 6.0m span simply-supported beam.

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19.0 STANDARD RC PILE AND RC PILE CAP FOUNDATION DESIGNS

Pile structural capacity design is based on the following equations:-

Precast driven square RC pile or insitu bored circular RC pile

SLS pile axial compression capacity, Ncap,pile,comp,sls = 0.25fcu.Aps

ULS pile axial compression capacity, Ncap,pile,comp,uls = 0.35fcu.Aps + (0.67fy-0.35fcu).As,prov,p

SLS pile axial tension capacity, Ncap,pile,tens,sls = 0.55fy.As,prov,p

ULS pile axial tension capacity, Ncap,pile,tens,uls = 0.95fy.As,prov,p

Precast (pretensioned spun) driven circular RC pile

SLS pile axial compression capacity, Ncap,pile,comp,sls = 0.25(fcu-fpe).Aps

Insitu bored circular RC pile (API Micropile)

SLS pile axial compression capacity, Ncap,pile,comp,sls

= fy,API.AAPI/2.0 (reinforcement only)

= 0.5fy,API.(AAPI+Ac,API.Ec/Es)/2.0 (composite section (strain compatibility))

= (0.91fy,API.AAPI+0.45fcu.Ac,API)/2.0 (concrete filled CHS)

Pile geotechnical capacity design (empirical method) is based on the following equations:-

Base effective bearing capacity, Qb' = (Db2/4 or Db

2).qf'(z=L-L0)

Gross effective bearing capacity, qf'(z=L-L0)=250.N(z=L-L0) (<=qflimit'(z=L-L0))

Shaft effective friction capacity, Qs' = (D or 4D).(L-L0).a'

Average shaft effective stress, a' = [a'(z=0)+a'(z=L-L0)]/2

a'(z=0) = 2.0.N(z=0) (<=alimit'(z))

a'(z=L-L0) = 2.0.N(z=L-L0) (<=alimit'(z))

Pile weight minus soil weight removed, Fpile = Aps.L.(c-dry)

Combined base effective bearing and shaft effective friction capacity, Pf' = Qb' + Qs'

Overall pile effective capacity for vertical (compressive) load, MIN (Qb'/3.0 + Qs'/1.5, Pf'/2.0)-Fpile

Note that L0 accounts for poor ground near surface level where no contribution of shaft skin friction capacity is

adopted, in fact negative skin friction may need to be considered over L0 length. Pile geotechnical capacity

design based on drained and undrained equations should also be performed.

Pile geotechnical settlement analysis (empirical method) is based on the following equations:-

Total settlement, d = zb+zs

Total base displacement, zb = zbc.(zb/zbc)

Critical base displacement, zbc = 5%.(pile base diameter, Db)

Normalised base displacement, zb/zbc

Total shaft displacement, zs = zsc.(zs/zsc)

Critical shaft displacement, zsc

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Normalised shaft displacement, zs/zsc

Pile geotechnical settlement analysis based on the elastic method equations should also be performed.

Pile cap design is based on the following equations:-

Loading factor, K = 1.50

Pile group pile spacing for pile cap reinforcement design, S = 3.0D

Projection of pile cap beyond face of pile, cproj = 150mm

Width of pile cap in x, Bcap

Two Pile Arrangement Bcap = D + 2.cproj

Three Pile Arrangement Bcap = S + D + 2.cproj

Four Pile Arrangement Bcap = S + D + 2.cproj

Length of pile cap in y, Lcap

Two Pile Arrangement Lcap = S + D + 2.cproj

Three Pile Arrangement Lcap = S + D + 2.cproj

Four Pile Arrangement Lcap = S + D + 2.cproj

For efficient pile cap truss effect and for sufficient pile cap and pile reinforcement anchorage the

following is adhered to:-

Note usually Tcap (S/2) / tan45° + cover1 + link,2 + (0.5-1.5).b

to Tcap (S/2) / tan30° + cover1 + link,2 + (0.5-1.5).b

for single layer base steel and angle 45° to 30° from vertical to line of compression.

Note for sufficient pile cap rebar anchorage, Tcap ≥ tanchor,pilecap-D/2-cproj+cover1+cover2+cover3+link,2+(0.5-1.5).b

for single layer base steel.

Note for sufficient pile rebar anchorage, Tcap ≥ tanchor,pile+cover1+cover3

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Note tension anchorage, tanchor = (1/1.05).fy./4/fbu.As/As,prov, fbu=(0.50 G460, 0.28 G250).fcu

Note cover1, cover2 and cover3 are the bottom, side and top covers respectively.

Effective depth to base steel in each force triangle, d

For applicability of the truss method of analysis of the pile cap, span / depth ratio, S/d ≤ 2.0

Base force in each force triangle, Fbase,uls

Base area of tension steel required in each force triangle, As,b = Fbase,uls / (0.95fy)

Critical shear perimeter at perimeter 20% of D inside face of pile is evaluated as follows:-

Shear stress at column base critical perimeter, 2 = Veff,2 / u2d

Shear force 20% of D inside face of pile from column base face, V2 = Fcol,v,uls

Effective shear force, Veff,2 = 1.00 . V2

Column base critical perimeter, u2

Distance 20% of D inside face of pile from column base face, av

Three Pile Arrangement av = (S-D-MIN(b,h))/2+D/5

Four Pile Arrangement av = (S-D-MIN(b,h))/2+D/5

For no requirement of links, 2 < 1.5dc/av.

Shear in each force triangle is evaluated as follows:-

Shear force in each force triangle, V

Two Pile Arrangement V = Fcol,v,uls/2

Three Pile Arrangement V = Fcol,v,uls/3

Four Pile Arrangement V = Fcol,v,uls/4

Ultimate shear stress in each force triangle, vult=V/(beff,tria.d) (< 0.8fcu0.5 & 5N/mm2)

Effective width in each force triangle, beff,tria

Two Pile Arrangement beff,tria = MIN (Bcap, 3.0D)

Three Pile Arrangement beff,tria = MIN (Bcap/3, 1.5D+MIN(1.5D, 0.5D+cproj))

Four Pile Arrangement beff,tria = MIN (Bcap/2, 1.5D+MIN(1.5D, 0.5D+cproj))

Design shear stress in each force triangle, vd=V/(beff,tria.d)

Distance 20% of D inside face of pile from column base face, av

Two Pile Arrangement av = (S-D-h)/2+D/5

Three Pile Arrangement av = (S-D-MIN(b,h))/2+D/5

Four Pile Arrangement av = (S-D-MIN(b,h))/2+D/5

For no requirement of links, vd < 2dvc/av.

Note covers as follows:-

pile sides 75mm

pile cap bottom and sides 75mm

pile cap top 40mm

Two Pile Arrangement Fbase,uls = Fcol,v,uls.S/(4d)

Three Pile Arrangement Fbase,uls = Fcol,v,uls.S/(9d)

Four Pile Arrangement Fbase,uls = Fcol,v,uls.S/(8d)

Rectangular Circular

Three Pile Arrangement 3.[S-D+2.(0.2D)] 3.[S-D+2.(0.2D)]

Four Pile Arrangement 4.[S-D+2.(0.2D)] 4.[S-D+2.(0.2D)]

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Standard JKR / PKM / HUME Grade 45MPa Precast Driven Square

RC Pile Structural Capacity Designs

Standard Grade 45MPa Precast Driven Square RC Pile Structural Capacity Designs

Size (mm)

Longitudinal

Reinforcement

(% Steel)

Shear Links # (Asv/S/h)

Compression Capacity Tension Capacity

SLS (kN) ULS (kN) SLS (kN) ULS (kN)

150 x 150 4T10 (1.40%) 2R4-75 (0.00223) 250 440 70 130

175 x 175 4T12 (1.48%) 2R4.5-85 (0.00214) 340 610 110 190

200 x 200 4T12 (1.13%) 2R4.5-100 (0.00159) 450 760 110 190

250 x 250 4T16 (1.29%) 2R5-110 (0.00143) 700 1210 200 350

300 x 300 4T20 (1.40%) 2R6-145 (0.0013) 1010 1780 310 540

350 x 350 4T20 (1.03%) 2R6-130 (0.00124) 1370 2290 310 540

400 x 400 4T25 (1.23%) 2R6-115 (0.00123) 1800 3090 490 850

# Nominal shear links corresponds to 0.4/0.95fvy 0.00168 for fyv = 250N/mm2. The prefix 2 indicates 2 legs, i.e. a full loop.

Standard Insitu Bored Circular RC Pile Structural Capacity Designs

Standard Insitu Bored Circular RC Pile Structural Capacity Designs

Size (mm)

Longitudinal

Reinforcement

(% Steel)

Shear Links # (Asv/S/h)

Compression Capacity Tension Capacity

SLS (kN) ULS (kN) SLS (kN) ULS (kN)

450 6T12 (0.43%)

Pitch = 142mm 2T8-125 (0.00179)

1190 (C30)

1390 (C35)

1590 (C40)

1780 (C45)

1980 (C50)

1870 (C30)

2140 (C35)

2420 (C40)

2700 (C45)

2980 (C50)

170 290

600 6T16 (0.43%)

Pitch = 219mm 2T8-175 (0.00096)

2120 (C30)

2470 (C35)

3320 (C30)

3820 (C35) 300 520

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2820 (C40)

3180 (C45)

3530 (C50)

4310 (C40)

4800 (C45)

5290 (C50)

750 10T16 (0.46%)

Pitch = 177mm 2T10-175 (0.00120)

3310 (C30)

3860 (C35)

4410 (C40)

4970 (C45)

5520 (C50)

5230 (C30)

6000 (C35)

6770 (C40)

7540 (C45)

8310 (C50)

500 870

900 14T16 (0.44%)

Pitch = 160mm 2T10-175 (0.00100)

4770 (C30)

5560 (C35)

6360 (C40)

7150 (C45)

7950 (C50)

7510 (C30)

8620 (C35)

9730 (C40)

10840 (C45)

11950 (C50)

710 1230

1050 18T16 (0.42%)

Pitch = 151mm 2T10-150 (0.00100)

6490 (C30)

7570 (C35)

8650 (C40)

9740 (C45)

10820 (C50)

10160 (C30)

11670 (C35)

13180 (C40)

14690 (C45)

16200 (C50)

910 1580

1200 16T20 (0.44%)

Pitch = 198mm 2T12-200 (0.00094)

8480 (C30)

9890 (C35)

11300 (C40)

12720 (C45)

14130 (C50)

13370 (C30)

15340 (C35)

17310 (C40)

19280 (C45)

21250 (C50)

1270 2190

1350 20T20 (0.44%)

Pitch = 182mm 2T12-175 (0.00096)

10730 (C30)

12520 (C35)

14310 (C40)

16100 (C45)

17890 (C50)

16900 (C30)

19390 (C35)

21880 (C40)

24380 (C45)

26870 (C50)

1580 2740

1500 24T20 (0.43%)

Pitch = 171mm 2T12-150 (0.00101)

13250 (C30)

15460 (C35)

17670 (C40)

19880 (C45)

22080 (C50)

20790 (C30)

23870 (C35)

26950 (C40)

30030 (C45)

33110 (C50)

1900 3290

1650 20T25 (0.46%)

Pitch = 228mm 2T12-140 (0.00098)

16030 (C30)

18700 (C35)

21380 (C40)

24050 (C45)

26720 (C50)

25370 (C30)

29090 (C35)

32820 (C40)

36540 (C45)

40270 (C50)

2480 4290

1800 22T25 (0.42%)

Pitch = 227mm 2T16-225 (0.00099)

19080 (C30)

22260 (C35)

25440 (C40)

28620 (C45)

31800 (C50)

29930 (C30)

34360 (C35)

38800 (C40)

43230 (C45)

47670 (C50)

2730 4710

# Nominal shear links corresponds to 0.4/0.95fvy 0.00092 for fyv = 460N/mm2. The prefix 2 indicates 2 legs, i.e. a full loop.

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Standard ICP / CEPCO Grade 80MPa Precast (Pretensioned Spun) Driven Circular RC Pile

Designs

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API PIPE SIZES FOSstr = 2.0

Grade N80 ( fy = 80,000 PSI / 552 MPa )

OD (mm)Thickness (mm)ID (mm) Qult (kN) Qall (kN)

114.3 7.37 99.56 1,367 683

7.52 111.96 1,558 779

9.19 108.62 1,878 939

11.19 104.62 2,247 1,124

12.7 101.6 2,517 1,259

7.72 124.26 1,767 883

9.17 121.36 2,076 1,038

10.54 118.62 2,361 1,180

8.94 150.42 2,471 1,235

10.59 147.12 2,896 1,448

12.06 144.18 3,268 1,634

8.05 161.7 2,370 1,185

9.19 159.42 2,687 1,344

10.36 157.08 3,008 1,504

11.51 154.78 3,319 1,660

12.65 152.5 3,623 1,811

13.72 150.36 3,904 1,952

9.52 174.66 3,041 1,520

10.92 171.86 3,461 1,731

12.7 168.3 3,986 1,993

14.27 165.16 4,440 2,220

15.86 161.98 4,891 2,446

11.43 196.24 4,116 2,058

12.7 193.7 4,546 2,273

14.15 190.8 5,029 2,515

10.03 224.44 4,078 2,039

11.05 222.4 4,473 2,237

11.89 220.72 4,796 2,398

13.84 216.82 5,536 2,768

11.43 250.14 5,185 2,592

12.57 247.86 5,677 2,838

298.4 12.42 273.56 6,160 3,080

339.7 13.06 313.58 7,398 3,699

127.0

219.1

244.5

273.0

139.7

168.3

177.8

193.7

Standard API N80 (552MPa) Micropile Grade 30MPa Insitu Bored

Circular RC Pile Designs (Capacity Based Upon Reinforcement Only)

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Single-Pile Pile Cap

Pile Size,

D (mm)

Pile Cap Dimensions Reinforcement

Bcap (mm) Lcap (mm) Depth,

Tcap (mm) Along Lcap Along Bcap

@ Lacer

150 x 150 450 450 450 3T12 3T12 2T12

175 x 175 475 475 450 3T12 3T12 2T12

200 x 200 500 500 450 3T12 3T12 2T12

250 x 250 550 550 450 3T12 3T12 2T12

300 x 300 600 600 450 4T12 4T12 2T12

350 x 350 650 650 450 4T12 4T12 2T12

400 x 400 700 700 450 4T12 4T12 2T12

@ Note lacer reinforcement is the horizontally placed reinforcement within the thickness of the pile cap.

Two-Pile Pile Cap

Pile Size,

D (mm)

SLS Pile

Capacity

(kN)

# ULS

Column Load

and Assumed

Size (b x h)

^ Pile Cap

Dimensions Ratio

Tcap/D

Ratio

S/d

Fbase,uls

(kN)

Shear Stress

Crit Perimeter

Force Triangle

(N/mm2)

Reinforcement

Bcap x Lcap

(mm)

* Depth,

Tcap

(mm)

Along

Lcap

Along

Bcap

@ Lacer

150 x 150

(C45) 250

740kN

150x150mm 450 x 900 450 3.00 1.23 228

N/A

2.25 4T16 5T12 2T12

175 x 175

(C45) 340

1010kN

175x175mm 475 x 1000 500 2.86 1.26 318

N/A

2.55 5T16 6T12 2T12

200 x 200

(C45) 450

1330kN

200x200mm 500 x 1100 550 2.75 1.29 432

N/A

2.88 5T20 7T12 2T12

250 x 250

(C45) 700

2080kN

250x250mm 550 x 1300 650 2.60 1.33 691

N/A

3.35 6T20 10T12 3T12

300 x 300

(C45) 1010

3000kN

300x300mm 600 x 1500 850 2.83 1.18 886

N/A

3.28 5T25 9T16 3T12

350 x 350

(C45) 1370

4060kN

350x350mm 650 x 1700 1050 3.00 1.09 1110

N/A

3.25 6T25 12T16 4T12

400 x 400

(C45) 1800

5340kN

400x400mm 700 x 1900 1250 3.13 1.03 1378

N/A

3.28 8T25 16T16 5T12

# Note ULS column loading includes a reduction due to the weight of the pile cap.

^ Note pile spacing, S assumed to be 3.0D.

@ Note lacer reinforcement is the horizontally placed reinforcement within the thickness of the pile cap.

* Note pile cap depth chosen to avoid need for shear links, the inclusion of which would result in a shallower depth.

Lcap

BcapBcap

Lcap

Bcap

Lcap

2 1

3

1

2

4 2

3 1

x

y

b

h

b

h

b

h

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Three-Pile Pile Cap

Pile Size,

D (mm)

SLS Pile

Capacity

(kN)

# ULS

Column Load

and Assumed

Size (b x h)

^ Pile Cap

Dimensions

Ratio

Tcap/D

Ratio

S/d

Fbase,uls

(kN)

Shear

Stress

Crit

Perimeter

Force

Triangle

(N/mm2)

Effective

Width of

Each Force

Triangle,

beff,tria (mm)

Reinforcement

Bcap x Lcap

(mm)

* Depth,

Tcap

(mm)

Within

Each

beff,tria

@ Lacer

150 x 150

(C45) 250

1110kN

183x183mm 900 x 900 450 3.00 1.25 156

2.88

3.46 300 3T16 2T12

175 x 175

(C45) 340

1520kN

213x213mm 1000 x 1000 500 2.86 1.28 217

2.95

3.72 333 4T16 2T12

200 x 200

(C45) 450

2010kN

244x244mm 1100 x 1100 600 3.00 1.18 264

2.74

3.59 367 4T16 2T12

250 x 250

(C45) 700

3120kN

305x305mm 1300 x 1300 700 2.80 1.24 431

2.87

3.98 433 5T20 2T12

300 x 300

(C45) 1010

4510kN

366x366mm 1500 x 1500 850 2.83 1.20 601

2.78

4.01 500 5T25 3T12

350 x 350

(C45) 1370

6110kN

427x427mm 1700 x 1700 1050 3.00 1.11 750

2.55

3.78 567 5T25 3T12

400 x 400

(C45) 1800

8010kN

488x488mm 1900 x 1900 1250 3.13 1.04 930

2.42

3.67 633 6T25 3T12

# Note ULS column loading includes a reduction due to the weight of the pile cap.

^ Note pile spacing, S assumed to be 3.0D.

@ Note lacer reinforcement is the horizontally placed reinforcement within the thickness of the pile cap.

* Note pile cap depth chosen to avoid need for shear links, the inclusion of which would result in a shallower depth.

Four-Pile Pile Cap

Pile Size,

D (mm)

SLS Pile

Capacity

(kN)

# ULS

Column Load

and Assumed

Size (b x h)

^ Pile Cap

Dimensions

Ratio

Tcap/D

Ratio

S/d

Fbase,uls

(kN)

Shear

Stress

Crit

Perimeter

Force

Triangle

(N/mm2)

Effective

Width of

Each Force

Triangle,

beff,tria (mm)

Reinforcement

Bcap x Lcap

(mm)

* Depth,

Tcap

(mm)

Within

Each

beff,tria

@ Lacer

150 x 150

(C45) 250

1480kN

211x211mm 900 x 900 500 3.33 1.10 204

2.52

2.02 450 3T16 2T12

175 x 175

(C45) 340

2010kN

246x246mm 1000 x 1000 600 3.43 1.03 260

2.36

1.98 500 4T16 2T12

200 x 200

(C45) 450

2670kN

282x282mm 1100 x 1100 650 3.25 1.07 358

2.49

2.17 550 5T16 2T12

250 x 250

(C45) 700

4150kN

352x352mm 1300 x 1300 800 3.20 1.06 552

2.45

2.26 650 5T20 2T12

300 x 300

(C45) 1010

5980kN

423x423mm 1500 x 1500 950 3.17 1.06 792

2.44

2.35 750 4T25 3T12

350 x 350

(C45) 1370

8110kN

493x493mm 1700 x 1700 1050 3.00 1.11 1121

2.54

2.51 850 6T25 4T12

400 x 400

(C45) 1800

10630kN

564x564mm 1900 x 1900 1250 3.13 1.04 1388

2.41

2.43 950 7T25 4T12

# Note ULS column loading includes a reduction due to the weight of the pile cap.

^ Note pile spacing, S assumed to be 3.0D.

@ Note lacer reinforcement is the horizontally placed reinforcement within the thickness of the pile cap.

* Note pile cap depth chosen to avoid need for shear links, the inclusion of which would result in a shallower depth.

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APPENDIX: SOIL RELATIONSHIPS

Relationship Between Undrained Shear Strength, Su and

SPT, N (Stroud)

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

Su (kPa) <20 20-40 40-75 75-150 >150

Very

Soft Soft

Medium

Stiff Stiff

Very

Stiff Hard

dry (kN/m3)

sat (kN/m3) 16 17 18 19 20 21

Relationship Between Effective Angle of Shear Resistance, '

and SPT, N (Peck)

Very

Loose Loose

Medium

Dense Dense

Very

Dense

dry (kN/m3)

(sat (kN/m3))

<14

(<16)

14-16

(16-18)

16-17

(18-19)

17-19

(19-21)

>19

(>21)

Relationship Between Coefficient of Volume

Compressibility, mv and SPT, N

Compressibility Highest Higher Medium Lower Lowest

mv (m2/MN) >1.5 1.5-0.3 0.3-0.1 0.1-0.05 <0.05

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Soil

Coefficient of Subgrade Reaction

(kN/m3)

Lower Limit Upper Limit

Dense Sand 64000 128000

Clayey Medium Dense Sand 32000 80000

Medium Dense Sand 9600 80000

Silty Medium Dense Sand 24000 48000

Loose Sand 4800 16000

Clay (qa > 800kPa) 48000 200000

Clay (200 < qa < 800kPa) 24000 48000

Clay (qa < 200kPa) 12000 24000

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REFERENCES AND BIBLIOGRAPHY

1. BRITISH STANDARDS INSTITUTION. BS8110-1:1997 British Standard Structural Use of Concrete – Part 1 Code

of Practice for Design and Construction. BSI. London. May 2002.

2. THE INSTITUTION OF STRUCTURAL ENGINEERS. Manual for the Design of RC Building Structures to BS8110.

Second Edition. IStructE. London. July 2002.

3. MOSLEY, W.H. Reinforced Concrete Design. Fifth Edition. Palgrave. Great Britain. 1999.