Analysis on Restrained Torsional Shear Stresses of Box Girders With Corrugated Steel Webs

WEI Na; ZHANG Yuanhai; YAO Xiaodong

doi:10.21656/1000-0887.390329

Volume 41 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(4): 386-395

WEI Na, ZHANG Yuanhai, YAO Xiaodong. Analysis on Restrained Torsional Shear Stresses of Box Girders With Corrugated Steel Webs[J]. Applied Mathematics and Mechanics, 2020, 41(4): 386-395. doi: 10.21656/1000-0887.390329

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Analysis on Restrained Torsional Shear Stresses of Box Girders With Corrugated Steel Webs

doi: 10.21656/1000-0887.390329

School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China

Funds: The National Natural Science Foundation of China（51968040）

Received Date: 2018-11-28
Rev Recd Date: 2019-07-09
Publish Date: 2020-04-01

Abstract

Abstract

Based on the theory of circumferential non-deformation, and combined with the calculation and analysis on constrained torsion of closed thin-wall members, the distribution and calculation of torsional shear stresses were addressed for composite box girders with corrugated steel webs. The distributions of free torsional shear stresses and warping torsional shear stresses were further demonstrated through deduction of the formula for calculating the shear flow of cantilever plates in restrained torsion. The relevant shortcomings in calculating shear stresses by existing references were pointed out. A simply supported composite box girder with corrugated steel webs was taken as an example to compare the analytical results with those from the ANSYS finite element method. The results show that, in the sections of box girders with corrugated steel webs, the torsional shear stresses are mainly undertaken by corrugated steel webs, then by concrete bottom plates. The maximum shear stress in the bottom plate occurs at its center and is almost half that in the webs. The torsional shear stresses in the top concrete plate and the cantilever plate are very small. The calculated results of torsional shear stresses are consistent with those with the finite element method on the whole. The shear stress is zero at the free tip of the cantilever plate and gradually increases and reaches the peak value with the distance away from the tip end.
- corrugated steel web,
- box girder,
- restrained torsion,
- warping shear stress

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References(16)

References

[1]	SAYED-AHMED E Y. Behaviour of steel and(or) composite girders with corrugated steel webs[J]. Canadian Journal of Civil Engineering,2001,28(4): 656-672.
[2]	李宏江. 波形钢腹板预应力混凝土组合箱梁扭转与畸变研究进展[J]. 建筑结构学报, 2017,38(7): 59-67.(LI Hongjiang. Review on torsion and distortion in prestressed concrete box girders with corrugated steel webs[J]. Journal of Building Structures,2017,38(7): 59-67.(in Chinese))
[3]	RACHED E F. Non-uniform warping including the effects of torsion and shear forces, part Ⅰ: a general beam theory[J]. International Journal of Solids and Structures,2007,44(18/19): 5912-5929.
[4]	蔡千典, 冉一元. 波形钢腹板预应力结合箱梁结构特点的探讨[J]. 桥梁建设, 1994,24(1): 26-30.(CAI Qiandian, RAN Yiyuan. Discussion on structural characteristics of corrugated steel web prestressed box girder[J]. Bridge Construction,1994,24(1): 26-30.(in Chinese))
[5]	李宏江, 叶见曙, 万水, 等. 波形腹板箱梁的扭转与畸变分析及试验研究[J]. 桥梁建设, 2003,〖STHZ〗 33(6): 1-4.(LI Hongjiang, YE Jianshu, WAN Shui, et al. Analysis and experimental study of torsion and distortion of box girder with corrugated steel webs[J]. Bridge Construction,2003,33(6): 1-4.(in Chinese))
[6]	徐勋, 叶华文, 强士中. 带悬臂板薄壁箱梁的扭转和畸变分析[J]. 铁道学报, 2015,37(10): 83-91.(XU Xun, YE Huawen, QIANG Shizhong. Torsion and distortion analysis of thin-walled box girder with cantilever flanges[J]. Journal of the China Railway Society,2015,37(10): 83-91.(in Chinese))
[7]	项海帆. 高等桥梁结构理论[M]. 2版. 北京:人民交通出版社, 2013.(XIANG Haifan. Advanced Theory of Bridge Structures [M]. 2nd ed. Beijing: China Communications Press, 2013.(in Chinese))
[8]	郭金琼, 房贞政, 郑振. 箱形梁设计理论[M]. 2版. 北京: 人民交通出版社, 2008.(GUO Jinqiong, FANG Zhenzheng, ZHENG Zhen. Design Theory of Box Girder [M]. 2nd ed. Beijing: China Communications Press, 2008.(in Chinese))
[9]	张元海. 闭口薄壁杆件的约束扭转剪应力分析[J]. 兰州交通大学学报, 2008,27(4): 1-3.(ZHANG Yuanhai. Study on the shear stress of thin-walled member with closed section under restrained torsion[J]. Journal of Lanzhou Jiaotong University,2008,27(4): 1-3.(in Chinese))
[10]	杨丙文, 黎雅乐, 万水, 等. 波形钢腹板箱梁的扭转应力分析[J]. 华南理工大学学报(自然科学版), 2012,〖STHZ〗 40(2): 19-22.(YANG Bingwen, LI Yale, WAN Shui, et al. Stress analysis of box girder with corrugate steel webs under torsion[J]. Journal of South China University of Technology (Natural Science Edition),2012,40(2): 19-22.(in Chinese))
[11]	JOHNSON R P, CAFOLLA J. Corrugated webs in plate girders for bridge[J]. Proceedings of the Institution of Civil Engineers, Structures and Buildings,1997,122(2): 157-164.
[12]	包世华, 周坚. 薄壁杆件结构力学[M]. 北京: 中国建筑工业出版社, 2006.(BAO Shihua, ZHOU Jian. Structural Mechanics of Thin-Walled Members [M]. Beijing: China Construction Industry Press, 2006.(in Chinese))
[13]	黄剑源. 薄壁构件的扭转分析(上册)[M]. 北京: 中国铁道出版社, 1983.(HUANG Jianyuan. Torsional Analysis of Thin-Walled Members(Vol 〖STBX〗1) [M]. Beijing: China Railway Publishing House, 1983.(in Chinese))
[14]	狄谨, 周绪红, 游金兰, 等. 波纹钢腹板预应力混凝土组合箱梁抗扭性能[J]. 长安大学学报（自然科学版）, 2009,29(3): 58-63.(DI Jin, ZHOU Xuhong, YOU Jinlan, et al. Torsional property of prestressed concrete composite beam with corrugated steel webs[J]. Journal of Chang’an University (Natural Science Edition),2009,29(3): 58-63.(in Chinese))
[15]	GUO Z H. A unified theory of thin-walled elastic structures[J]. Journal of Structural Mechanics,1981,〖STHZ〗 9(2): 179-197.
[16]	胡建华, 刘海波, 狄瑾. 波形钢腹板PC组合箱梁扭转性能分析[J]. 中外公路, 2017,37(3): 118-123.(HU Jianhua, LIU Haibo, DI Jin.Torsional analysis of PC box girder with corrugated steel webs[J]. Journal of China & Foreign Highway,2017,37(3): 118-123.(in Chinese))