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A Case Study on Balanced CantileverBridges – Delhi Metro Phase III
Piyush Santhalia – Project Engineer
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Case StudiesSl.No
SpanArrangement (m)
Project Client Contractor Status
1 34 + 60 + 34 CC28Delhi Metro –Phase III, Line 7
DelhiMetro
L&T Completed
2 60 + 60 CC28Delhi Metro –Phase III, Line 7
L&T Super-structurepartlycompleted
3 37 + 69 + 67 + 55
+ 34
CC26R
Delhi Metro –
Phase III, Line 7
ITD Foundation
and Sub-structurecompleted
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CC28 – Balanced Cantilever Bridge
i) 34 + 60 + 34 m ii) 60 + 60 m
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 m
II. 60 + 60 m
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CC28 – Balanced Cantilever BridgeI. 34m + 60m + 34mStructure Type : Cast-in-Situ PSC Box Girder
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34m Span - General Arrangement
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Cross Sections
Overall Width of Deck = 8.844 m
Depth of the Box Girder: Varies from 5m at intermediate Piers to 2.1m at Mid-Span
Area (m 2) 8.890
Iyy (m 4) 28.79
Area (m 2) 4.980
Iyy (m 4) 2.63
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Foundation & Sub - structure
Intermediate Piers P122 and P123 are integral Piers.
Twin Piers, each leaf of dimension 1000 X 3400 mm
Free Bearings at P121 and P124.
Circular Piers with 2100 mm diameter
Pile Foundation
1000 mm dia. , cast-in-situ bored piles.
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Construction Sequence
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Construction Sequence contd…
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Construction Sequence contd…
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Construction Sequence contd…
Casting of Segment S8 (one just before stitch segment)
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Construction Sequence contd…
Casting of Stitch Segment
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Midas Civil has been used for numerical modelling and Structural Analysis
- Super Structure (Box Girder) Piers and Piles have been modelled as Line Element
- Pile Cap has been modelled as plate element.
- Point Spring Supports to take the effect of soil.
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Concrete has been modelled with time dependent properties in Midas Civil
- Creep and Shrinkage and compressive strength gain behaviour has been defined as
per CEB-FIP
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Internal Prestressing
- 19T15 and 12T15 anchorages
http://localhost/var/www/apps/conversion/tmp/scratch_3/AECOM-CC-28-NN-13001-PRESTRESSING_R3%20(Sh%201%20to%208).pdfhttp://localhost/var/www/apps/conversion/tmp/scratch_3/AECOM-CC-28-NN-13001-PRESTRESSING_R3%20(Sh%201%20to%208).pdf
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Simulation of exact Construction Sequence in Midas.
- Able to check stresses at intermediate steps in all construction stages.
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Maximum Stress (Tension) at top Fibre Envelope (during construction)
- Maximum Compression at Top Fibre Envelope (during construction)
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Maximum Tension at Bottom Fibre Envelope (during construction)
- Effect of stressing Tendons one by one
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Results: Stress Check for Service Loads: Normal Case
Stresses at Top Fibre due to Combination G I (N/mm 2)
Stresses at Bottom Fibre due to Combination G I (N/mm2)
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Pre-camber: Day of commissioning as the critical day
- Precision: Only 6mm of difference between the theoretical value and theobserved value of deflection at the cantilever tips, just before stitching.
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CC28 – Balanced Cantilever BridgeI. 34 + 60 + 34 Analysis & Design
- Deformation, including the effect of creep after 120 years
Deformation due to Normal Case – after 120 years (mm)
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CC28 – Balanced Cantilever BridgeII. 60m + 60m
Structure Type : Cast-in-Situ PSC Box Girder
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Span - General Arrangement
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Foundation & Sub - structure
Intermediate Piers P217 is integral Piers.
2300mm Diameter circular Pier
Free Bearings at P216 & P218.
Circular Piers with 2100 mm diameter
Pile Foundation
1000 mm dia. , cast-in-situ bored piles.
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Midas Civil has been used for numerical modelling and Structural Analysis
- Super Structure (Box Girder) Piers and Piles have been modelled as Line Element
- Pile Cap has been modelled as plate element.
- Point Spring Supports to take the effect of soil.
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Construction Sequence contd…
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Construction Sequence contd…
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Internal Prestressing
- 19T15 and 12T15 anchorages
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Maximum Stress (Tension) at Top Fibre Envelope (during construction)
- Maximum Compression at Top Fibre Envelope (during construction)
Sign Convention: +ve Value of Stresses denote Tension-ve Values denote compression
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Maximum Tension at Bottom Fibre Envelope (during construction)
- Maximum Compression at Bottom Fibre Envelope (during construction)
Sign Convention: +ve Value of Stresses denote Tension-ve Values denote compression
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Results: Stress Check for Service Loads: Normal Case
Stresses at Top Fibre due to Combination G I (N/mm2)
Stresses at Bottom Fibre due to Combination G I (N/mm2 )
Sign Convention: +ve Value of Stresses denote Tension-ve Values denote compression
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Pre-camber: Day of commissioning as the critical day
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CC28 – Balanced Cantilever BridgeII. 60 + 60m Analysis & Design
- Deformation, including the effect of creep after 120 years
Deformation due to Normal Case – after 120 years (mm)
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CC26R – Balanced Cantilever BridgeI. 37 + 69.9 + 67 + 55 + 34m Span - General Arrangement
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CC26R – Balanced Cantilever BridgeI. 37 + 69.9 + 67 + 55 + 34m Cross SectionsOverall Width of Deck = 8.844 m
Depth of the Box Girder: Varies from 4.7m at intermediate Piers to 2.8m at Mid-Span
Area (m 2) 10.01
Iyy (m 4) 28.73
Area (m 2) 5.90
Iyy (m 4) 6.13
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CC26R – Balanced Cantilever BridgeI. 37 + 69.9 + 67 + 55 + 34m Construction Sequence
Intermediate PiersP235: Free Pier
P236: Integral PierP237: Integral PierP238: Free Pier
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
Stresses at Bottom Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
Stresses at Bottom Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
Stresses at Bottom Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
Stresses at Bottom Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Construction Sequence contd…
Stresses at Top Fibre due to DL + PS + CR + SH (N/mm2)
Stresses at Bottom Fibre due to DL + PS + CR + SH (N/mm2)
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Foundation & Sub - structurePile Arrangement at P236
Intermediate PiersP235: Free PierP236: Integral Pier
P237: Integral PierP238: Free Pier
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Foundation & Sub - structurePile Arrangement at P237
Intermediate PiersP235: Free PierP236: Integral Pier
P237: Integral PierP238: Free Pier
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Analysis & Design
- Internal Prestressing
- 19T15 and 12T15 anchorages
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CC26R – Balanced Cantilever Bridge
I. 37 + 69.9 + 67 + 55 + 34m Analysis & DesignStress Check for Service Loads: Normal Case
Sign Convention: +ve Value of Stresses denote Tension-ve Values denote compression
Stresses at Top Fibre due to Combination G I (N/mm 2)
Stresses at Bottom Fibre due to Combination G I (N/mm 2)
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Thank You