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Shear capacity of Reinforced Concrete Slabs
experimental study
Eva Lantsoght
17-5-2011




         Delft
         University of
         Technology

         Challenge the future
Overview

• Background
   • Project description
   • Current practice
• Experiments
• Results and discussion
   • Loading history
   • Distance to support
   • Concrete compressive strength
• Preliminary conclusions




                  Shear in reinforced concrete slabs – wheel loads close to support   2
Key message

 Slabs under wheel loads behave
 differently in shear than beams




        Shear in reinforced concrete slabs – wheel loads close to support   3
Background
Project description (1)

• Capacity of existing bridges in NL
   • TU Delft
      • Concrete Structures
      • Structural Mechanics
   • TNO
   • RWS

• 3715 relevant structures
• 2020 built before 1976

• Study: bridge categories and specific
  details
                                                          Highways in the Netherlands

                    Shear in reinforced concrete slabs – wheel loads close to support   4
Background
  Project description (2)


• Concrete Structures
   •   Long-term tensile strength
   •   Beam shear – sustained loads
   •   Continuous girders – shear
   •   Prestressed slabs – punching + CMA
   •   Slab bridges - shear/punching




                                                               Concrete bridges

                       Shear in reinforced concrete slabs – wheel loads close to support   5
Background
   Project description (3)




              Shear failure of the de la Concorde bridge, Laval

The Netherlands: 60% of bridges built before 1975
Traffic volume and loads have increased
                     Shear in reinforced concrete slabs – wheel loads close to support   6
Background
Project description (4)

• Wheel loads: tire contact
  area + loading

• Tandem loads for local
  verification

• Eurocode Tire contact area:
  400mm x 400mm
• Larger than physical contact
  area
                                                     Tandem loads, EC2


                  Shear in reinforced concrete slabs – wheel loads close to support   7
Background
 Project description (5)

• Wheel loads: tire contact
  area + loading

• Values for load model 1




                                                              Load model 1
                   Shear in reinforced concrete slabs – wheel loads close to support   8
Background
Project description (6)




Load spreading towards the support               Shear span to depth ratio


                    Influence of the support

                  Shear in reinforced concrete slabs – wheel loads close to support   9
Background
Current practice




   Beam shear, one-way shear                      Punching shear, two-way shear


• Design: shear capacity of slabs
   • Flexural failure before shear failure
   • Punching shear formulas
   • Beam shear formulas over effective width


                  Shear in reinforced concrete slabs – wheel loads close to support   10
Goals
•   Assess shear capacity of slabs
    under concentrated loads
•   Determine effective width in
    shear




         Shear in reinforced concrete slabs – wheel loads close to support   11
Experiments
Test setup




 Size: 5m x 2,5m x 0,3m




                 Shear in reinforced concrete slabs – wheel loads close to support   12
Experiments
Test setup




 Continuous support, Line supports


                  Shear in reinforced concrete slabs – wheel loads close to support   13
Experiments
Test setup




 Load: vary a/d and position along width
                  Shear in reinforced concrete slabs – wheel loads close to support   14
Results and discussion
       Loading history


• Experiments:
   •   Lower bound for cracked bridges
   •   Loading in vicinity of failure
   •   Influence of local failure
   •   Connecting existing cracks
   •   Opening existing cracks
   •   +/- 84% of peak load undamaged
                                                                 S2T1 cracks
       specimen
                       Slabs with large cracks:
               still 84% of uncracked load is carried!
                       Shear in reinforced concrete slabs – wheel loads close to support   15
Results and discussion
    Distance to support (1)




slabs: decrease due to smaller effective width             beams: influence of arching




                         Shear in reinforced concrete slabs – wheel loads close to support   16
Results and discussion
    Distance to support (1)




slabs: decrease due to smaller effective width             beams: influence of arching
             Lower bound: 2d
 Influence of the distance to the support on the shear capacity of slabs?
                         Shear in reinforced concrete slabs – wheel loads close to support   17
Results and discussion
Distance to support (2)




    Influence of distance to support on measured peak load


               Shear in reinforced concrete slabs – wheel loads close to support   18
Results and discussion
    Distance to support (3)


• Smaller increase than
  expected from EC2

• Reasons:
   • Cracking behavior
   • Possible paths for strut
   • Larger effective a/d ratio




             Different behavior for slabs and beams!

                        Shear in reinforced concrete slabs – wheel loads close to support   19
Results and discussion
    Concrete compressive strength (1)

VRd ,c = C Rd ,c k (100 ρ l f ck ) + k1σ cp  bw d ≥ (vmin + k1σ cp )bw d Eurocode
                             1/ 3

                                            
         1
  Vc = λ f c' bw d ACI code
         6

 • fc’ as parameter in code formulas
 • Shear strength related to tensile strength
            Test slabs with normal strength and high strength
            concrete



                           Shear in reinforced concrete slabs – wheel loads close to support   20
Results and discussion
Concrete compressive strength (2)
           1600

           1400

           1200

           1000
 Pu (kN)




            800

            600
                                                                                      S3
            400
                                                                                      S4
                                                                                      S7
            200
                                                                                      S8
              0                                                                       S2
                  0   10     20      30       40       50       60      70       80        90
                                               fc' (MPa)
    Influence of concrete compressive strength on measured ultimate load
                           Shear in reinforced concrete slabs – wheel loads close to support    21
Preliminary conclusions


• Locally failed decks
   • 84% of peak load
   • Redistribution capacity of slabs

• Distance to support
   • Smaller influence than for
     beams
   • Suggest different behavior

• Concrete compressive strength                          S4T2 Dominant shear crack
   • No measured influence

                  Shear in reinforced concrete slabs – wheel loads close to support   22
Key message

 Slabs under wheel loads behave
 differently in shear than beams




        Shear in reinforced concrete slabs – wheel loads close to support   23
Contact:
Eva Lantsoght
E.O.L.Lantsoght@tudelft.nl
+31(0)152787449

                       Shear in reinforced concrete slabs – wheel loads close to support   24

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Experimental study of shear capacity of reinforced concrete slabs

  • 1. Shear capacity of Reinforced Concrete Slabs experimental study Eva Lantsoght 17-5-2011 Delft University of Technology Challenge the future
  • 2. Overview • Background • Project description • Current practice • Experiments • Results and discussion • Loading history • Distance to support • Concrete compressive strength • Preliminary conclusions Shear in reinforced concrete slabs – wheel loads close to support 2
  • 3. Key message Slabs under wheel loads behave differently in shear than beams Shear in reinforced concrete slabs – wheel loads close to support 3
  • 4. Background Project description (1) • Capacity of existing bridges in NL • TU Delft • Concrete Structures • Structural Mechanics • TNO • RWS • 3715 relevant structures • 2020 built before 1976 • Study: bridge categories and specific details Highways in the Netherlands Shear in reinforced concrete slabs – wheel loads close to support 4
  • 5. Background Project description (2) • Concrete Structures • Long-term tensile strength • Beam shear – sustained loads • Continuous girders – shear • Prestressed slabs – punching + CMA • Slab bridges - shear/punching Concrete bridges Shear in reinforced concrete slabs – wheel loads close to support 5
  • 6. Background Project description (3) Shear failure of the de la Concorde bridge, Laval The Netherlands: 60% of bridges built before 1975 Traffic volume and loads have increased Shear in reinforced concrete slabs – wheel loads close to support 6
  • 7. Background Project description (4) • Wheel loads: tire contact area + loading • Tandem loads for local verification • Eurocode Tire contact area: 400mm x 400mm • Larger than physical contact area Tandem loads, EC2 Shear in reinforced concrete slabs – wheel loads close to support 7
  • 8. Background Project description (5) • Wheel loads: tire contact area + loading • Values for load model 1 Load model 1 Shear in reinforced concrete slabs – wheel loads close to support 8
  • 9. Background Project description (6) Load spreading towards the support Shear span to depth ratio Influence of the support Shear in reinforced concrete slabs – wheel loads close to support 9
  • 10. Background Current practice Beam shear, one-way shear Punching shear, two-way shear • Design: shear capacity of slabs • Flexural failure before shear failure • Punching shear formulas • Beam shear formulas over effective width Shear in reinforced concrete slabs – wheel loads close to support 10
  • 11. Goals • Assess shear capacity of slabs under concentrated loads • Determine effective width in shear Shear in reinforced concrete slabs – wheel loads close to support 11
  • 12. Experiments Test setup Size: 5m x 2,5m x 0,3m Shear in reinforced concrete slabs – wheel loads close to support 12
  • 13. Experiments Test setup Continuous support, Line supports Shear in reinforced concrete slabs – wheel loads close to support 13
  • 14. Experiments Test setup Load: vary a/d and position along width Shear in reinforced concrete slabs – wheel loads close to support 14
  • 15. Results and discussion Loading history • Experiments: • Lower bound for cracked bridges • Loading in vicinity of failure • Influence of local failure • Connecting existing cracks • Opening existing cracks • +/- 84% of peak load undamaged S2T1 cracks specimen Slabs with large cracks: still 84% of uncracked load is carried! Shear in reinforced concrete slabs – wheel loads close to support 15
  • 16. Results and discussion Distance to support (1) slabs: decrease due to smaller effective width beams: influence of arching Shear in reinforced concrete slabs – wheel loads close to support 16
  • 17. Results and discussion Distance to support (1) slabs: decrease due to smaller effective width beams: influence of arching Lower bound: 2d Influence of the distance to the support on the shear capacity of slabs? Shear in reinforced concrete slabs – wheel loads close to support 17
  • 18. Results and discussion Distance to support (2) Influence of distance to support on measured peak load Shear in reinforced concrete slabs – wheel loads close to support 18
  • 19. Results and discussion Distance to support (3) • Smaller increase than expected from EC2 • Reasons: • Cracking behavior • Possible paths for strut • Larger effective a/d ratio Different behavior for slabs and beams! Shear in reinforced concrete slabs – wheel loads close to support 19
  • 20. Results and discussion Concrete compressive strength (1) VRd ,c = C Rd ,c k (100 ρ l f ck ) + k1σ cp  bw d ≥ (vmin + k1σ cp )bw d Eurocode 1/ 3   1 Vc = λ f c' bw d ACI code 6 • fc’ as parameter in code formulas • Shear strength related to tensile strength Test slabs with normal strength and high strength concrete Shear in reinforced concrete slabs – wheel loads close to support 20
  • 21. Results and discussion Concrete compressive strength (2) 1600 1400 1200 1000 Pu (kN) 800 600 S3 400 S4 S7 200 S8 0 S2 0 10 20 30 40 50 60 70 80 90 fc' (MPa) Influence of concrete compressive strength on measured ultimate load Shear in reinforced concrete slabs – wheel loads close to support 21
  • 22. Preliminary conclusions • Locally failed decks • 84% of peak load • Redistribution capacity of slabs • Distance to support • Smaller influence than for beams • Suggest different behavior • Concrete compressive strength S4T2 Dominant shear crack • No measured influence Shear in reinforced concrete slabs – wheel loads close to support 22
  • 23. Key message Slabs under wheel loads behave differently in shear than beams Shear in reinforced concrete slabs – wheel loads close to support 23
  • 24. Contact: Eva Lantsoght E.O.L.Lantsoght@tudelft.nl +31(0)152787449 Shear in reinforced concrete slabs – wheel loads close to support 24