|Table of Contents|

Ultimate Bearing Capacities of RC Beam Based on Timoshenko and Higher-order Shear Deformation Beam Theories(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2011年03期
Page:
67-73
Research Field:
Publishing date:
2011-09-20

Info

Title:
Ultimate Bearing Capacities of RC Beam Based on Timoshenko and Higher-order Shear Deformation Beam Theories
Author(s):
ZHANG Yun-peng12 DIAO Bo12 YE Ying-hua12
1. Department of Civil Engineering, Beihang University, Beijing 100191, China; 2. State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, Guangdong, China
Keywords:
reinforced concrete Timoshenko beam theory high-order shear deformation beam theory ultimate bearing capacity nonlinear analysis
PACS:
TU312
DOI:
-
Abstract:
Based on Timoshenko and higher-order shear deformation beam theories respectively, a nonlinear analysis model with shear deformation considered reinforced concrete(RC)frame element was deduced. To take into account the height deformation of the given member after diagonal cracking, a correlation between transverse normal strain and shear strain was proposed. The constitutive model proposed by Stevens, et al was adopted to eliminate the cracks checking of concrete, which was mostly based on modified compression field theory. Simulations about pure bending tests and concentrated loading tests with and without stirrups were made to validate the ultimate bearing capacity of RC beam. The results show that the calculation results based on the two theories are both in good agreement with experimental data. Comparatively, it is better to use the section analysis model based on Timoshenko beam theory to increase accuracy and computational efficiency, and the convergence is better.

References:

[1] YE Ying-hua,DIAO Bo.Nonlinear Analysis of Concrete Structures[M].Harbin:Harbin Institute of Technology Publishing House,1996.
[2]TIMOSHENKO S P.On the Correction for Shear of the Differential Equation for Transverse Vibration of Prismatic Bars[J].Philosophical Magazine,1921,41:744-746.
[3]BICKFORD W B.A Consistent Higher Order Beam Theory[J].Developments in Theoretical and Applied Mechanics,1982,11:137-150.
[4]GREGORI J N.SOSA P M,FERNANDEI PMA,et al.A 3D Numerical Model for Reinforced and Pre-stressed Concrete Elements Subjected to Combined Axial,Bending,Shear and Torsion Loading[J].En-gineering Structures,2007,29(12):3404-3419.
[5]VECCHIO F J,COLLINS M P.The Modified Compression-field Theory for Reinforced Concrete Elem-ents Subjected to Shear[J].ACI Journal Proceedings,1986,83(2):219-231.
[6]REDDY J N.A Simple Higher Order Theory for Laminated Composite Plates[J].Journal of Applied Mechanics,1984,51(4):745-752.
[7] ZHANG Y P,DIAO B,YE Y H,et al.Nonlinear RC Beam Element Model Under Combined Action of Axial Compression,Bending and Shear[C]//TIZANI W.Proceedings of the International Conference on Computing in Civil and Building Engineering.Nottingham:Nottingham University Press,2010:471-472.
[8]DIAO B,ZHANG Y P,YE Y H.Ultimate Load Analysis of RC Beam Under Combined Action of Axial,Bending and Shear Loading[J].Advanced Materials Research,2011,163,164,165,166,167:1702-1707.
[9]STEVENS N J,UZUMERI S M,COLLINS M P,et al.Constitutive Model for Reinforced Concrete Finite Element Analysis[J].ACI Structural Journal,1991,88(1):49-59.
[10]薛延胜.钢筋混凝土套叠梁正截面承载力试验[D].哈尔滨:哈尔滨建筑工程学院,1985. XUE Yan-sheng.Experimental Study of Reinforced Concrete Compound Beam[D].Harbin:Harbin Architecture and Civil Engineering Institute,1985.
[11]张晓漪,刁 波,薛延胜.钢筋砼套叠梁力学性能的试验研究及计算[J].建筑结构学报,1988,9(5):20-28. ZAHNG Xiao-yi,DIAO Bo,XUE Yan-sheng.Experimental Study on Mechanical Properties of Reinforced Concrete Casing Compound Beam[J].Journal of Building Structures,1988,9(5):20-28.
[12]谢育良,李寿康,颜德姮,等.集中荷载下无腹筋钢筋混凝土约束梁的抗剪强度[R].上海:同济大学,1981. XIE Yu-liang,LI Shou-kang,YAN De-heng,et al.Shear Strength of Concrete Beams Without Stirrups Under Concentrated Loads[R].Shanghai:Tongji University,1981.
[13]任 伟,赵 煜,栾好发.钢板加固持荷RC梁承载力数值分析方法[J].交通运输工程学报,2007,7(6):96-100. REN Wei, ZHAO Yu, LUAN Hao-fa.Numerical Method of Bearing Capacity for Preloaded RC Beam Strengthened by Bonding Steel Plates[J].Journal of Traffic and Transportation Engineering,2007,7(6):96-100.
[14]潘 元,刘伯权,邢国华,等.核心区剪切破坏的RC变梁中节点受力模型研究[J].西安建筑科技大学学报:自然科学版,2010,42(5):642-648. PAN Yuan,LIU Bo-quan,XING Guo-hua,et al.Model for Shear Failure of RC Interior Joints with Different Depth Beams[J].Journal of Xi'an Univer-sity of Architecture & Technology:Natural Science Edition,2010,42(5):642-648.
[15]王春生,袁卓亚,郭晓宇,等.钢板-混凝土组合加固混凝土T梁的抗弯性能试验[J].交通运输工程学报,2010,10(6):32-40. WANG Chun-sheng,YUAN Zhuo-ya,GUO Xiao-yu,et al.Flexural Behavior Experiment of Reinforced Concrete T-beams with Steel Plate-concrete Composite Strengthening[J].Journal of Traffic and Transportation Engineering,2010,10(6):32-40.
[16]彭天明,王 南.受集中荷载简支钢筋混凝土梁抗剪性能试验研究[R].上海:同济大学,1984. PENG Tian-ming,WANG Nan.Experimental Study on Shear Performance of Simply Supported RC Beam Under Concentrated Loads[R].Shanghai:Tongji University,1984.

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Last Update: 2011-09-20