Shear Strength Formula for Reinforced Concrete Beams Without Web Reinforcements gainst Size Effect

LUO Lin; WANG Qi-zhi

doi:10.3879/j.issn.1000-0887.2013.06.007

Volume 34 Issue 6

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LUO Lin, WANG Qi-zhi. Shear Strength Formula for Reinforced Concrete Beams Without Web Reinforcements gainst Size Effect[J]. Applied Mathematics and Mechanics, 2013, 34(6): 606-619. doi: 10.3879/j.issn.1000-0887.2013.06.007

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Shear Strength Formula for Reinforced Concrete Beams Without Web Reinforcements gainst Size Effect

doi: 10.3879/j.issn.1000-0887.2013.06.007

LUO Lin^1,2,3,
WANG Qi-zhi³

¹State Key Laboratory Breeding Base of Mountain Bridge & Tunnel Engineering, Chongqing Jiaotong University, Chongqing 400074, P.R.China;²School of Civil Engineering & Architecture, Chongqing Jiaotong University, Chongqing 400074, P.R.China;³Department of Civil Engineering,Sichuan University, Chengdu 610065, P.R.China

Received Date: 2013-04-28
Rev Recd Date: 2013-05-31
Publish Date: 2013-06-15

Abstract

Abstract

Based on the limit equilibrium method, equilibrium equations were established by studying the free body composed of the critical inclined crack and the top crosssection from reinforced concrete beams without web reinforcements. Analyzing the relationships between principal stresses of the critical shear compression zone and damage forms, stress analysis of the critical shear compression zone was done. Then by applying Bazant’s size effect law, a shear strength formula of reinforced concrete beams without stirrups for both diagonal tension failure and shear compression failure was obtained, where the critical shear compression zone height was the unknown parameter. And then by LevenbergMarguardt nonlinear leastsquare curve fitting on Bazant’s test database, exponential relationship between the height of the critical shear compression zone and parameters was gotten. Finally, comparison with Collins’ test database shows that the obtained shear strength formula can be demonstrated to agree more favorably with the test database than those from ACI 318-08 and GB 50010-2010, and close with Bazant’s shear strength formula.
- reinforced concrete beams without web reinforcements,
- shear strength,
- limit equilibrium method,
- size effect,
- critical shear compression zone height,
- stress distribution

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References

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