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Challenge the future
Delft
University of
Technology
Shear capacity of slabs
under a combination of loads
Eva Lantsoght, Cor van der Veen, Joost Walraven
2Shear capacity of slabs under a combination of loads
Overview
• Introduction
• Recommendations from previous
experiments
• Hypothesis of superposition
• Experiments
• Results
• Superposition
• Support material
• Comparison to proposed method
• Conclusions
S9T6 at failure
3Shear capacity of slabs under a combination of loads
Introduction: Recommendations (1)
• Based on experiments on slabs under a concentrated load
• Evaluating existing solid slab bridges:
• EN 1992-1-1:2005
• 25% reduction of contribution concentrated load close to support
• β =av /2dl
• Combined: βnew =av /2,5dl
• Effective width: French method and minimum 4dl
4Shear capacity of slabs under a combination of loads
Introduction: Recommendations (2)
45 load spreading 45 load spreading – French practice
5Shear capacity of slabs under a combination of loads
Hypothesis of superposition
• Concentrated load over effective width
• Distributed loads over full width
• Sum of stresses with combination of loads ≥ stress with
concentrated load only
6Shear capacity of slabs under a combination of loads
Superposition tests(1)
• 2nd series experimental work:
• Slabs under combined loading
• Line load
• Preloading
• 50% of shear strength slab strips
• Concentrated load
• loading until failure
• 26 experiments
• 8 specimens
• Superposition hypothesis valid?
7Shear capacity of slabs under a combination of loads
Superposition tests (2)
8Shear capacity of slabs under a combination of loads
Superposition tests (3)
9Shear capacity of slabs under a combination of loads
Verification of the hypothesis
'
,
3
'
,
c combi
c conc
f
f
combination line conc   
10Shear capacity of slabs under a combination of loads
Flexible versus rigid supports (1)
support of steel bearings
elastomeric bearings
11Shear capacity of slabs under a combination of loads
Flexible versus rigid supports (2)
• Flexible supports: more ductile failure mode
• Distance a is same, av different
12Shear capacity of slabs under a combination of loads
Flexible versus rigid supports (3)
av as face-to-face distance av as given by code
β = av/2dl with av distance between
edge of load and edge of support (or
centre of bearing where flexible
bearings are used)
13Shear capacity of slabs under a combination of loads
Comparison to proposed method
• EN 1992-1-1:2005
• French load spreading method and beff ≥ 4dl
• βnew = av/2,5dl for concentrated load only
0.000
0.500
1.000
1.500
2.000
2.500
3.000
0.00 0.50 1.00 1.50 2.00 2.50 3.00
vRdc(MPa)
τtest & β (MPa)
14Shear capacity of slabs under a combination of loads
Conclusions
• Recommendations:
• effective width
• β =av/2,5dl for concentrated loads
on slabs
• Superposition valid
• Second series confirms
recommendations
• av = face-to-face distance, also for
flexible supports
15Shear capacity of slabs under a combination of loads
Contact:
Eva Lantsoght
E.O.L.Lantsoght@tudelft.nl
+31(0)152787449

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Shear capacity of slabs under a combination of loads

  • 1. Challenge the future Delft University of Technology Shear capacity of slabs under a combination of loads Eva Lantsoght, Cor van der Veen, Joost Walraven
  • 2. 2Shear capacity of slabs under a combination of loads Overview • Introduction • Recommendations from previous experiments • Hypothesis of superposition • Experiments • Results • Superposition • Support material • Comparison to proposed method • Conclusions S9T6 at failure
  • 3. 3Shear capacity of slabs under a combination of loads Introduction: Recommendations (1) • Based on experiments on slabs under a concentrated load • Evaluating existing solid slab bridges: • EN 1992-1-1:2005 • 25% reduction of contribution concentrated load close to support • β =av /2dl • Combined: βnew =av /2,5dl • Effective width: French method and minimum 4dl
  • 4. 4Shear capacity of slabs under a combination of loads Introduction: Recommendations (2) 45 load spreading 45 load spreading – French practice
  • 5. 5Shear capacity of slabs under a combination of loads Hypothesis of superposition • Concentrated load over effective width • Distributed loads over full width • Sum of stresses with combination of loads ≥ stress with concentrated load only
  • 6. 6Shear capacity of slabs under a combination of loads Superposition tests(1) • 2nd series experimental work: • Slabs under combined loading • Line load • Preloading • 50% of shear strength slab strips • Concentrated load • loading until failure • 26 experiments • 8 specimens • Superposition hypothesis valid?
  • 7. 7Shear capacity of slabs under a combination of loads Superposition tests (2)
  • 8. 8Shear capacity of slabs under a combination of loads Superposition tests (3)
  • 9. 9Shear capacity of slabs under a combination of loads Verification of the hypothesis ' , 3 ' , c combi c conc f f combination line conc   
  • 10. 10Shear capacity of slabs under a combination of loads Flexible versus rigid supports (1) support of steel bearings elastomeric bearings
  • 11. 11Shear capacity of slabs under a combination of loads Flexible versus rigid supports (2) • Flexible supports: more ductile failure mode • Distance a is same, av different
  • 12. 12Shear capacity of slabs under a combination of loads Flexible versus rigid supports (3) av as face-to-face distance av as given by code β = av/2dl with av distance between edge of load and edge of support (or centre of bearing where flexible bearings are used)
  • 13. 13Shear capacity of slabs under a combination of loads Comparison to proposed method • EN 1992-1-1:2005 • French load spreading method and beff ≥ 4dl • βnew = av/2,5dl for concentrated load only 0.000 0.500 1.000 1.500 2.000 2.500 3.000 0.00 0.50 1.00 1.50 2.00 2.50 3.00 vRdc(MPa) τtest & β (MPa)
  • 14. 14Shear capacity of slabs under a combination of loads Conclusions • Recommendations: • effective width • β =av/2,5dl for concentrated loads on slabs • Superposition valid • Second series confirms recommendations • av = face-to-face distance, also for flexible supports
  • 15. 15Shear capacity of slabs under a combination of loads Contact: Eva Lantsoght E.O.L.Lantsoght@tudelft.nl +31(0)152787449