2016 201 6 MIDAS Techn Technical ical Chat Ch at
Practical Design of Extradosed Extr adosed Bridg Bridges es
midas Civil
Inki Choi Head-Design(Bridges), Larsen & Toubro Toubro Construction
L&T Construct Construction ion
1. Introduction 2. Design Pro roc cedure 3. Design Example 4. Comparative study 5. Re Reffere ren nce Pro rojject
midas Civil
1. Intr Introduction oduction
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Extradosed Extr adosed Bridge?
Meaning of Extradosed The name comes from the French word extradossé, which is derived from the word extrados extrados,, the exterior curve of an arch. arch . •
Historical Extradosed Bridge Ganter Bridge (Swizerland,1980)
Odawara Blue Way Bridge (Japan,1994)
Kisogawa Bridge (Japan,2001)
1. Introduction Characteristics of Extradoesd bridge
Aesthetic point of view Looks similar with cable stayed bridge with tower and cable •
Structural behavior point Behave similar with girder bridge •
Key Aspects Slenderer depth than girder bridge => Less concrete consumption Lower tower height than cable stayed bridge => Easy Construction Economical application to 100m to 200m main span •
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1. Introduction
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Structural behavior of Extradosed bridges
Structural difference with Cable-stayed bridges Less Stress variation on cable due to live load. Range of stress variation is important governing factor of stay cables due to fatigue •
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1. Introduction
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Structural behavior of Extradosed bridges
Distribution Ratio of Vertical Load (β) Distribution on stay cables and girder of vertical uniform load on the main span •
1. Introduction Structural behavior of Extradosed bridges
Distribution Ratio of Vertical Load (β) Load distribution to girder : 79% Load distribution to stay cable : 21% •
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1. Introduction
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Structural behavior of Extradosed bridges
Distribution Ratio of Vertical Load (β) vs stress range due to live load
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1. Introduction
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Parametric comparison
Economical parameter for different type TYPE OF BRDIGE
GIRDER DEPTH to SPAN
PYLON HEIGHT to SPAN
APPLICABLE SPAN RANGE
MID
Support
GIRDER BRIDGE (>100m span)
1:40~1:50
1:15~1:20
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100~180m
EXTRADOSED BRIDGE
1:40~1:50
1:30~1:40
1:8 ~ 1:15
100~200m
1:4 ~ 1:5
200~800m
PYLON HEIGHT to SPAN
APPLICABLE SPAN RANGE
CABLE STAYED BRDIGE
1.5m~2.5m uniform
Tentative dimension for 200m main span TYPE OF BRDIGE
GIRDER DEPTH to SPAN MID
Support
GIRDER BRIDGE (>100m span)
5.0m~4.0m 13.5m~10m
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200m
EXTRADOSED BRIDGE
5.0m~4.0m 7.0m~5.0m
25m ~ 13m
200m
CABLE STAYED BRDIGE
1.5m~2.5m
50m ~ 40m
200m
1. Introduction Parametric comparison
Equivalent thickness of concrete
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1. Introduction Parametric comparison
Post-tensioning Tendon
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1. Introduction
2. Design Procedure 3. Design Example 4. Comparative Study 5. Reference Project
midas Civil
2. Design Procedure
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Design procedure flow chart
Planning / Preparation of Concept / Design basis Understanding Requirement
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Span arrangement
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Decide Cross section
Arranging Stay cable
Determine the loading
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Clearance functional width / traffic lane
Survey information ( Soil / Topo & Bathymetry ) Structural efficiency / Foundation cost Decisi on on bearing system Single cell, multi cell, Steel or Concrete Number of stay cable plane
Fan type Harp type
Dead Load / Superimposed Dead Load Live Load / Wind Load / Thermal effect Seismic loading
2. Design Procedure
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Design procedure flow chart
Transverse design stage Transverse Analysis
Serviceability limit
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Strength limit
Review of clashes Details
Finalizing section
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Strip model analysis Plate element analysis
Reinforcement design Crack assessment Stress limit of concrete and reinforcement
Bending moment capacity Shear Capacity
Any clash : Transverse tendon duct / rebar / anchorage / duct space Embedded items (drainage scup / lighting foundation / lif ting or handling hole etc.)
2. Design Procedure
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Design procedure flow chart
Longitudinal analysis stage Longitudinal Analysis
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Construction stage
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Serviceability design
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Strength limit
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Additional Cable Check
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Finalizing Design
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Construction Stage Analysis Final s tage Analysis Girder design Stay Cable Design Requirement of temporary PT
Stress limit Stay Cable Check
Bending capacity Shear capacity Torsional capacity Loss of Cable Replacement of Cable Vibration Anchorage details Review of clashes Preparation of casting curve / camber drawing
2. Design Procedure Span Arrangement
Horizontal and Vertical Clearance Horizontal Clearance shall be decided based on requirement (e.g. Navigational Channel, geometrical requirement) Vertical clearance (Navigational or traffic) •
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Side span / Main Span ratio 0.6 would be economical parameter in general •
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2. Design Procedure
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Cross Section / Number of Cable plane
Single-Cell vs. Multi-cell Depends on the functional requirement(i.e. required width based on traffic assessment) •
Single plane or double plane stay cable Girder Cross section related to cable anchorage •
2. Design Procedure
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Stay Cable Design
Harp type vs. Fan type Cable arrangement shall be decided considering Aesthetics, construction efficiency, overall cost etc. •
Harp Type
Fan Type
Eccentricity
Less Eccentricity
More Eccentricity
Anchor Detail
Simple
Complicated
Shape
Design specification applicable PTI Recommendation for Stay Cable Design, SETRA, EURO CODE •
- SLS PTI
: f limit=0.6fpu (∆f L : not exceed 70MPa in rare comb. )
SETRA : f limit=0.6fpu (∆f L : not exceed 50MPa in frequent comb. ) - ULS
: f limit=0.75fpu (PTI and SETRA)
2. Design Procedure
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Stay Cable Design
PTI Recommendation (6th Edition) Resistance factor given referring AASHTO LRFD design specification load combination •
2. Design Procedure Stay Cable Design
Euro Code (EN-1993-1-11) •
Ultimate Limit States
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Serviceability limit States
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2. Design Procedure
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Girder Design
During Construction Tensile stress limit : : No tension in Segmental construction, k1f ctm or k6f ctm for cast-in-situ construction (IRC112-2011) Compression stress limit : k1f ck or k6f ck (IRC112-2011) •
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Service limit State Tensile stress limit : No tension for Segmental construction, f ctm for cast-insitu construction (IRC ) Compression stress limit : 0.48fck •
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2. Design Procedure
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Girder Design
Ultimate limit State Ultimate Moment capacity •
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Ultimate Torsional Capacity
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Ultimate Shear Capacity
2. Design Procedure Pylon Design
Aesthetic design
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2. Design Procedure
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Pylon Design •
Anchorage Design
Single Tube Type
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Mono Tube Type
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Anchor Box Type
2. Design Procedure Pylon Design
Anchorage Design
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2. Design Procedure Procedure Connection to Pylon
Bearing vs. Monolithic
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2. Design Procedure Procedure Expansion Expa nsion Joints Jo ints
Expansion Joint at Support location Conventional support system No concern about long-term deflection •
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2. Design Procedure Procedure
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Expansion Expa nsion Joints Jo ints
Expansion Joint at Mid Span Needle Beam type type or Hinge Joint •
Needle Beam Type GUIDED BEARING ACTED BY (+) MOMENT MOMENT
GUIDED BEARING ACTED BY (-) MOMENT MOMENT
Hinge Hing e Type
GUIDED BEARING ACTED BY (-) MOMENT MOMENT
GUIDED BEARING ACTED BY (-) MOMENT MOMENT
FIXED BEARING ACTED BY (+) MOMENT MOMENT
GUIDED BEARING ACTED BY (+) MOMENT MOMENT
FIXED BEARING ACTED BY (+) MOMENT MOMENT
GUIDED BEARING ACTED BY (-) MOMENT MOMENT
Otay River Bridge
Port Mann Bridge
2. Design Procedure
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Foundation Design Pile foundation vs. Well foundation
Pile Foundation
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Economical in case less scour depth Less construction time and flexible arrangement of pile
Well Foundation
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applicable if scour depth is high where pile foundation is not feasible
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Less equipment required
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High geotechnical lateral resistance
2. Design Procedure Foundation Design
Construction Methodology of Pile Foundation
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2. Design Procedure Foundation Design
Construction Methodology of Pile Foundation
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1. Introduction 2. Design Procedure
3. Design Example 4. Comparative Study 5. Reference Project
midas Civil
3. Design Example Design Parameter
Material Property Concrete M55 – Superstructure , Upper pylon and lower pylon M35 - Foundation •
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Post-tensioning strand E = 195000 MPa Poisson ratio = 0.3 12T15 and 19T15 prestressing tendons Stay cable E = 195000 MPa 15.7mm dia. strand Reinforcement Fe 500 •
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3. Design Example Bridge general arrangement
Span arrangement 110 m + 180 m + 110 m •
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3. Design Example Bridge general arrangement
Cross section Girder Depth : 3.5m ~ 5.5m Deck width : 28.0m •
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3. Design Example Design Loading Permanent Load Self weight Super imposed dead Load SIDL variable (Wearing coat , Overlay) SIDL fixed (Crash barrier etc..) Variable Live Load (IRC112-2011 cl.204) Carriageway live load ( 70R, Class A,..) Pedestrian live load
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3. Design Example Design Loading
Thermal Load Temperature gradient (IRC112-2011 cl.215.3) Uniform temperature (IRC112-2011 cl.215.2) •
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Stay cable temperature
Wind Load (IRC112-2011 cl.209)
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3. Design Example Design Loading
Seismic Load
Accidental Load Vehicle Collison Barge impact Impact due to floating bodies • • •
Hydraulic Loads Water current forces Wave pressure Buoyancy • • •
Construction Loads
Earth pressure
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3. Design Example Transverse Analysis
Transverse Analysis using Beam Model Dead Load, SIDL, Pre-stressing, Thermal load etc. •
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3. Design Example
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Transverse Analysis
Transverse Analysis using Beam Model Construction stage analysis considering time- dependent material property •
BMD : Self Weight
BMD : Tendon Primary
3. Design Example Transverse Analysis
Transverse Analysis using Plate Element Analysis Model Live load dispersion to be taken in to consideration •
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3. Design Example Transverse Design Summary
Typical section Reinforcement drawing
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3. Design Example Longitudinal Analysis Model
Line Beam analysis Model
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3. Design Example
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Longitudinal Analysis Model
Loading Application Self-Weight and SIDL Live Load Wind Thermal Seismic •
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Tendon Arrangement Stay Cable Cantilever Tendon
3. Design Example Longitudinal Analysis Model
Similar scheme with Balanced Cantilever Girder Bridge
Pylon and Stay Cable to be added
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3. Design Example Construction Stage Analysis
Construction stage Analysis Result Construction sequence, age of segment, creep shrinkage •
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3. Design Example Construction Stage Analysis
Casting Curve Reference curve data during fabrication Final total camber + Vertical Profile •
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Camber Table during erection Reference curve data during erection •
Pylon
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3. Design Example Longitudinal Design Summary
Construction stage result
Top Stresses During Construction Stages
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3. Design Example Longitudinal Design Summary
Construction stage result
Bottom Stresses During Construction Stages
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3. Design Example Longitudinal Design Summary
Construction stage result
Girder Stress at bottom & Top - Final Construction Stage
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3. Design Example Longitudinal Design Summary
Post Construction stage Analysis result Girder Stress Live Load
Cable Stress Live Load
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3. Design Example Longitudinal Design Summary
Service Limit State Result
Top stresses in Rare Combination ( Live load Leading with temperature accompanying)
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3. Design Example
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Longitudinal Design Summary
Service Limit State Result
Bottom stresses in Rare Combination ( Live load Leading with te mperature accompanying)
3. Design Example Longitudinal Design Summary
Ultimate Limit State Result (Bending Moment Capacity)
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3. Design Example Longitudinal Design Summary
Ultimate Limit State Result (Shear & Torsion Capacity)
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3. Design Example Miscellaneous design
Anchor Blister Design Design as per section no 13 of IRC 112-2011 •
Diaphragm design Design as per section no 13 of IRC 112-2011 •
Bearing and Expansion joint Drainage and street lighting
Pavement
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1. Introduction 2. Design Procedure 3. Design Example
4. Comparative Study 5. Reference Project
midas Civil
4. Comparative Study
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Description of Case Study
Bridge Length 400m (=110m + 180m +110m)
Width of deck 28m (6 lane = 2 x 3lane)
Key Dimension for case studies GIRDER DEPTH to SPAN MID
Support
PYLON HEIGHT to SPAN
EXTRADOSED BRIDGE
3.5m
5.5m
22m
GIRDER BRIDGE
3.5m
5.5m
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Same Depth as Extradosed Bridge
GIRDER BRIDGE
3.5m
10.0m
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Conventional Balanced Cantilever
TYPE OF BRDIGE
Remark
Extradosed Bridge
4. Comparative Study
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Comparison : Balanced Cantilever Bridge vs. Extradosed Bridge
Extradosed Bridge with external stay cable (Girder depth at support = 5.5m) Elevation
BMD
2,80,000kN.m
Stress No Tension
4. Comparative Study
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Comparison : Balanced Cantilever Bridge vs. Extradosed Bridge
Extradosed Bridge with external stay cable (Girder depth at support = 5.5m) Elevation
BMD
11,25,000kN.m
Stress 19.1 Mpa
Girder depth shall be increased
4. Comparative Study Comparison : Balanced Cantilever Bridge vs. Extradosed Bridge
Balanced Cantilever Bridge (Girder depth at support = 10.0m) Elevation
BMD
Stress
6,84,100 kN.m
No tension
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4. Comparative Study
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Findings
Depth of Girder •
Depth of girder to be increased at support from 5.5m to 10m.
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Vertical profile to be raised in order to satisfy navigation clearance.
Material Quantity •
Concrete : 15~25% saving in case of extradosed bridge
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Post-tensioning Tendon : Similar amount tendon consumed
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Stay cable : additional 150 Ton stay cable required.
Constructability 23m high above deck to be constructed. Additional 1 month construction period •
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1. Introduction 2. Design Procedure 3. Design Example 4. Comparative Study
5. Reference Project
midas Civil
5. Reference Projects
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Second Vivekananda Bridge (SVBTC), Kolkata
Feature of project Span configuration Width of bridge Foundation •
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: 7 X 110 m + 2 X 55 m (880 m ) : 28.6 m : Well Foundation
5. Reference Projects
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3rd Narmada Bridge, Gujarat
Feature of project Span configuration Width of bridge Foundation •
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: 8 X 144 m + 2 X 96 m (1344 m) : 20.8 m : Pile Foundation
5. Reference Projects 3rd Narmada Bridge, Gujarat
General arrangement drawing
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5. Reference Projects
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Barapullah Bridge, Delhi
Feature of project Span configuration Width of bridge Foundation •
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: 3 X 127.5 m + 2 X 85 m (552.5 m) : 20.8 m : Well Foundation
5. Reference Projects Barapullah Bridge, Delhi
General arrangement drawing
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5. Reference Projects
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Kacchi Dargah, Bihar
Feature of project Total length Width of bridge Foundation •
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: 9.759 km ( Extradosed Bridge) : 32.4 m : Well Foundation
5. Reference Projects Kacchi Dargah, Bihar
General arrangement drawing
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5. Reference Projects
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Mandovi Bridge, Goa : Cable Stayed Bridge
Feature of project Span Configuration Width of bridge Foundation •
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: 3 X 150 m + 2 X 85 m (620 m) : 21 m : Pile Foundation
5. Reference Projects Mandovi Bridge, Goa : Cable Stayed Bridge
General arrangement drawing
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