design of rectangular rc tank

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1 Design and drawing of RC Structures CV61

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Page 1: Design of Rectangular RC Tank

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Design and drawing of RC Structures

CV61

Page 2: Design of Rectangular RC Tank

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WATER TANKS

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Learning out Come

• REVIEW • TYPES OF TANKS• DESIGN OF RECTANGULAR WATER

TANK RESTING ON GROUND WITH RIGID BASE

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INTRODUCTION

• Storage tanks are built for storing water, liquid petroleum, petroleum products and similar liquids

• Designed as crack free structures to eliminate any leakage

• Permeability of concrete is directly proportional to water cement ratio.

• Cement content ranging from 330 Kg/m3 to 530 Kg/m3 is recommended in order to keep shrinkage low.

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INTRODUCTION

• Use of high strength deformed bars of grade Fe415 are recommended for the construction of liquid retaining structures

• Correct placing of reinforcement, use of small sized and use of deformed bars lead to a diffused distribution of cracks

• A crack width of 0.1mm has been accepted as permissible value in liquid retaining structures

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INTRODUCTION

• Code of Practice for the storage of Liquids- IS3370 (Part I to IV)

• Fractured strength of concrete is computed using the formula given in clause 6.2.2 of IS 456 -2000 ie., fcr=0.7fck MPa.

• Allowable stresses in reinforcing steel as per IS 3370 are

• st= 115 MPa for Mild steel (Fe250) and

st= 150 MPa for HYSD bars(Fe415)

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INTRODUCTION

• In order to minimize cracking due to shrinkage and temperature, minimum reinforcement is recommended as:

• For thickness 100 mm = 0.3 %• For thickness 450 mm = 0.2%• For thickness between 100 mm to 450

mm = varies linearly from 0.3% to 0.2%• For concrete thickness 225 mm, two

layers of reinforcement be placed, one near water face and other away from water face.

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INTRODUCTION

• Cover to reinforcement is greater of i) 25 mm, ii) Diameter of main bar

• For tension on outer face:st=140 MPa for Mild steel and st=230 MPa for HYSD bars

• For concrete thickness 225 mm, two layers of reinforcement be placed, one near water face and other away from water face.

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TYPES OF WATER TANK

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WATER TANK

BASED ON PLACEMENT OF TANK

BASED ON SHAPE OF TANK

1. RESTING ON GROUND2. UNDER GROUND3. ELEVATED

1. CIRCULAR2. RECTANGULAR3. SPHERICAL4. INTZ5. CONICAL BOTTOM

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RESTING ON GROUND

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UNDERGROUND

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ELEVATED

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CIRCULAR

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RECTANGULAR

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SPHERICAL

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INTZ

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CONICAL BOTTOM

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RECTANGULAR WATER TANKS RESTING ON GROUND

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Introduction• Rectangular tanks are used when the

storage capacity is small • Rectangular tanks should be

preferably square in plan from point of view of economy.

• It is also desirable that longer side should not be greater than twice the smaller side.

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Introduction• Moments are caused in two directions of

the wall ie., both in horizontal as well as in vertical direction

• Exact analysis is difficult and are designed by approximate methods.

• When the length of the wall is more in comparison to its height, the moments will be mainly in the vertical direction, ie., the panel bends as vertical cantilever

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Introduction• When the height is large in comparison to

its length, the moments will be in the horizontal direction and panel bends as a thin slab supported on edges.

• For intermediate condition bending takes place both in horizontal and vertical direction.

• In addition to the moments, the walls are also subjected to direct pull exerted by water pressure on some portion of walls.

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Introduction

• The walls are designed both for direct tension and bending moment.

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Introduction

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Introduction• IS3370 (Part-IV) gives tables for moments

and shear forces in walls for certain edge condition. Table 3 of IS3370 provides coefficient for max Bending moments in horizontal and vertical direction.

Maximum vertical moment = Mxwa3 ( for x/a = 1, y=0) Maximum horizontal moment = Mywa3(for x/a = 0, y=b/2) Tension in short wall is computed as Ts=pL/2 Tension in long wall TL=pB/2

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Introduction• Horizontal steel is provided for net bending

moment and direct tensile force• Ast=Ast1+Ast2;

• M’=Maximum horizontal bending moment – T x; • x= d-D/2

jd

'MA

st1st

Ast2=T/st

x

D/2d

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DESIGN PROBLEM

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Introduction

Design a rectangular water tank 5m x 4m with depth of storage 3m, resting on ground and whose walls are rigidly joined at vertical and horizontal edges. Assume M20 concrete and Fe415 grade steel. Sketch the details of reinforcement in the tank

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Step1: Analysis for moment and tensile force

E

B

A

F

D

C

Free

a=H=3m

b=4m

L=5m

Fixed

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L/a=1.671.75; at y=0, x/a=1, Mx=-0.074; at y=b/2, x/a=1/4, My=-0.052 Max vertical moment = Mx wa3 = -19.98 Max horizontal moment = My wa3 = -14.04; Tlong=wab/2=60 kN

Step1: Analysis for moment and tensile force

i) Long wall:

i) Short wall: B/a=1.331.5; at y=0, x/a=1, Mx=-0.06; at y=b/2, x/a=1/4, My=-0.044 Max vertical moment = Mx wa3 = -16.2 Max horizontal moment = My wa3 = -11.88; Tshort=waL/2=75 kN

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Step2: Design Constants

cbc=7 MPa, st=150 MPa, m=13.33

38.0m

mk

stcbc

cbc

j=1-(k/3)=0.87 Q= ½ cbcjk = 1.15

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Step3: Design for Vertical moment

For vertical moment, the maximum bending moment from long and short wall (Mmax)x=-19.98 kN-m

mm8.1311000x15.1

10x98.19

Qb

Md

6

Assuming effective cover as 33mm, the thickness of wall is t=131.88+33=164.8 mm170 mm dprovided=170-33=137mm

26

stst mm54.1117

137x87.0x150

10x98.19

jd

MA

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Step3: Design for Vertical moment

Spacing of 12 mm diameter bar = c/mmc 2.10154.1117

1000x113 (Max spacing 3d=411mm)

Provide #12 @ 100 mm c/c Distribution steel Minimum area of steel is 0.24% of concrete area Ast=(0.24/100) x1000 x 170 = 408 mm2

Spacing of 8 mm diameter bar = c/mmc19.123408

1000x24.50

Provide #8 @ 120 c/c as distribution steel. Provide #8 @ 120 c/c as vertical and horizontal distribution on the outer face.

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Step4: Design for Horizontal moment

Horizontal moments at the corner in long and short wall produce unbalanced moment at the joint. This unbalanced moment has to be distributed to get balanced moment using moment distribution method.

C A

11.88

14.4

B

56.020/9

4/1DF

44.020/9

5/1DF

20

9K ;

5

1K ;

5

1K

AB

AC

ACAC

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Step4: Design for Horizontal moment

Moment distribution Table Joint A

Member AC AB DF 0.44 0.56 FEM -14 11.88 Distribution 0.9328 1.1872 Final Moment -13.0672 13.0672

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Step4: Design for Horizontal moment

The tension in the wall is computed by considering the section at height H1 from the base. Where, H1 is greater of i) H/4, ii) 1m, ie., i) 3/4=0.75, ii) 1m; H1= 1m Depth of water h=H-H1=3-1-2m; p=wh=10 x 2= 20 kN/m2

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Step4: Design for Horizontal moment

26

1st mm46.585137x87.0x150

10x4672.10A

23

2st mm33.333150

10x50A

Ast=Ast1+Ast2=918.79 mm2

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Step4: Design for Horizontal moment

Spacing of 12 mm diameter bar = c/mmc 12374.918

1000x113

(Max spacing 3d=411mm) Provide #12@120 mm c/c at corners

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Step5: Base Slab

• The slab is resting on firm ground. Hence nominal thickness and reinforcement is provided. The thickness of slab is assumed to be 200 mm and 0.24% reinforcement is provided in the form of #8 @ 200 c/c. at top and bottom

• A haunch of 150 x 150 x 150 mm size is provided at all corners

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Detailing

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Detailing

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