Key Laboratory for Safety Control of Bridge Engineering, Ministry of Education and Hunan Province, Changsha University of Science & Technology, Changsha Hunan 410114, China
Shear Capacity of Reinforced Concrete Beam with Diagonal Reinforcement Based on Modified Compression Field Theory
WANG Lei, SUN Le-kun, MA Ya-fei, ZHANG Jian-ren, ZHANG Xu-hui, ZHANG Ya-sheng
Key Laboratory for Safety Control of Bridge Engineering, Ministry of Education and Hunan Province, Changsha University of Science & Technology, Changsha Hunan 410114, China
摘要For the compression-shear failure of a reinforced concrete bridge beam with diagonal reinforcement, the calculation of ultimate shear capacity is proposed based on the modified compression field theory (MCFT). Shear force is shared by the shear compression zone of concrete, stirrups, and diagonal reinforcements intersecting with diagonal cracks. The shear capacities of concrete in the tensile and compression areas are calculated. The new balance equation between the average stress and the internal force of cracked concrete is established, and the effects of diagonal reinforcement on the stress of diagonal cracks are considered. This procedure considers the constitutive relation conditions of materials and the deformation compatibility of concrete. The theoretical shear capacity predicted by MCFT is validated by the test results of two reinforced concrete beams, providing a reference for calculating the capacity of reinforced concrete beam.
Abstract:For the compression-shear failure of a reinforced concrete bridge beam with diagonal reinforcement, the calculation of ultimate shear capacity is proposed based on the modified compression field theory (MCFT). Shear force is shared by the shear compression zone of concrete, stirrups, and diagonal reinforcements intersecting with diagonal cracks. The shear capacities of concrete in the tensile and compression areas are calculated. The new balance equation between the average stress and the internal force of cracked concrete is established, and the effects of diagonal reinforcement on the stress of diagonal cracks are considered. This procedure considers the constitutive relation conditions of materials and the deformation compatibility of concrete. The theoretical shear capacity predicted by MCFT is validated by the test results of two reinforced concrete beams, providing a reference for calculating the capacity of reinforced concrete beam.
基金资助:Supported by the National Natural Science Foundation of China (No.50878031)
通讯作者:
WANG Lei, leiwlei@hotmail.com
E-mail: leiwlei@hotmail.com
引用本文:
王磊, 孙乐坤, 马亚飞, 张建仁, 张旭辉, 张亚圣. 基于MCFT理论的配斜筋RC梁抗剪承载力计算[J]. Journal of Highway and Transportation Research and Development, 2013, 7(3): 47-52.
WANG Lei, SUN Le-kun, MA Ya-fei, ZHANG Jian-ren, ZHANG Xu-hui, ZHANG Ya-sheng. Shear Capacity of Reinforced Concrete Beam with Diagonal Reinforcement Based on Modified Compression Field Theory. Journal of Highway and Transportation Research and Development, 2013, 7(3): 47-52.
[1] MITCHELL D, COLLINS M P. Diagonal Compression Field Theory:A Rational Model for Structural Concrete in Pure Torsion[J]. ACI Structural Journal, 1974, 71(5):396-408.
[2] VECCHIO F J, COLLINS M P. The Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear[J]. ACI Structural Journal, 1986, 83(2):219-231.
[3] COLLINS M P, MITCHELL D. Prestressed Concrete Structures[M]. Englewood Cliffs, New Jersey:Prentice-Hall, 1991.
[4] BHIDE S B, COLLINS M P. Influence of Axial Tension on the Shear Capacity of Reinforced Concrete Members[J]. ACI Structural Journal, 1989, 86(5):570-581.
[5] VECCHIO F J, COLLINS M P. Compression Response of Cracked Reinforced Concrete[J]. Journal of Structural Engineering, ASCE, 1993, 119(12):3590-3610.
[6] NAKAMURA H, HIGAI T. Evaluation of Shear Strength of RC Beam Section Based on Extended Modified Compression Filed Theory[J].Concrete Library of Japan Society of Civil Engineers, 1995, 25:93-105.
[7] WEI Wei-wei, GONG Jin-xin. Shear Strength Prediction of Reinforced Concrete Flexural Members with Stirrups Based on Modified Compression Field Theory[J]. Journal of Building Structures, 2011, 32(5):125-141.(in Chinese)
[8] WEI Wei-wei, GONG Jin-xin. Shear Strength of Reinforced Concrete Members Based on Modified Compression Field Theory[J]. Engineering Mechanics, 2011, 28(2):111-117.(in Chinese)
[9] GONG Jin-xin, WEI Wei-wei, ZHAO Shang-chuan. Basic Theory and Application of Modern Concrete Structure[M].Beijing:China Architecture & Building Press, 2009.(in Chinese)
[10] XU Dong-po. Study on Shear Capacity of Reinforced Concrete Beams Based on the Modified Compression Field Theory[D]. Dalian:Dalian University of Technology, 2006. (in Chinese)
[11] GB50010-2002, Code for Design of Concrete Structures[S]. (in Chinese)
[12] JTG D60-2004, Code for Design of Highway Reinforced Concrete and Prestressed Concrete Bridges[S]. (in Chinese)
[13] VECCHIO F J, COLLINS M P. Predicting the Response of Reinforced Concrete Beam Beams Subjected to Shear Using Modified Compression Field Theory[J]. ACI Structural Journal, 1988, 85(4):258-268.
[14] VECCHIO F, COLLINS M P. Stress-strain Characteristics of Reinforced Concrete in Pure Shear[R]. Zurich:International Association for Bridge and Structural Engineering, 1981:211-225.
[15] VECCHIO F J. Analysis of Shear-critical Reinforced Concrete Beams[J]. ACI Structural Journal, 2000, 97(1):102-110.
[16] VECCHIO F J. Disturbed Stress Field Model for Reinforced Concrete:Formulation[J]. Journal of Structural Engineering, ASCE, 2000, 126(8):1070-1077.
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