A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis

ZHANG Yuyuan; ZHANG Yuanhai; ZHANG Hui

doi:10.21656/1000-0887.380073

Volume 39 Issue 11

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(11): 1282-1291

ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073

Citation:

PDF( 1271 KB)

A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis

doi: 10.21656/1000-0887.380073

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

Funds: The National Natural Science Foundation of China（51468032;51268029;51508255）

Received Date: 2017-03-29
Rev Recd Date: 2017-12-05
Publish Date: 2018-11-01

Abstract

Abstract

With the additional deflection caused by the shear lag effect as a generalized displacement, the shear lag deformation of the box girder was separated from the elementary beam deflection as an independent state for analysis. The governing differential equations and the corresponding boundary conditions were established with the energy variational method. According to the simply supported boundary conditions, the analytical solutions of the additional deflection and the longitudinal stress were deduced under the concentrated load and the uniform load. The longitudinal stress analysis shows that the stresses calculated with the present method were in good agreement with those with the spline function method, validating the rationality of the present method. The deflection study shows that the additional deflection of shear lag diminishes from the span center section to the 2 ends. The shear lag additional deflection at the span center section reaches respectively 2.57% and 3.03% of the elementary beam deflection of the simply supported box girder under the uniform load and the concentrated load. With the increases of the height-span and width-span ratios, the additional deflection at the span center section of the box girder gradually decreases. In particular, the influence of the width-span ratio on the additional deflection is far greater than that of the height-span ratio.
- thin-walled box girder,
- shear lag warping,
- elementary beam theory,
- additional deflection,
- energy variational method

FullText(HTML)

References(17)

References

[1]	张元海, 胡玉茹, 林丽霞. 基于修正翘曲位移模式的薄壁箱梁剪力滞效应分析[J]. 土木工程学报, 2015,48(6): 44-45.(ZHANG Yuanhai, HU Yuru, LIN Lixia. Analysis on shear lag effect of thin-walled box girders based on a modified warping displacement mode[J]. Journal of Civil Engineering,2015,48(6): 44-45.(in Chinese))
[2]	VISNJIC G, NOZAK D, KOSEL F, et al. Shear-lag influence on maximum specific bending stiffness and strength of composite I-beam wing spar[J]. Journal of Aerospace Engineering,2011,225(5): 501-511.
[3]	FABRIZIO G, GIANLUCA R, GRAZIANO L. Partial interaction analysis with shear-lag effects of composite bridges:a finite element implementation for design applications[J]. Advanced Steel Construction,2011,7(1): 1-16.
[4]	ZHANG Y H. Improved finite-segment method for analyzing shear lag effect in thin-walled box girders[J]. Journal of Structural Engineering,2012,138(10): 1279-1284.
[5]	ZHOU S J. Finite beam element considering shear-lag effect in box girder[J]. Journal of Engineering Machinery,2010,136(9): 1115-1122.
[6]	REISSNER E. Analysis of shear lag in box beams by the principle of the minimum potential energy[J]. Quarterly of Applied Mathematics,1946,4(3): 268-278.
[7]	钱寅泉, 倪元增. 单室箱桥的剪力滞分析[J]. 中国公路学报, 1989,2(2): 28-37.(QIAN Yinquan, NI Yuanzeng. Shear lag analysis of single room box girder[J]. Chinese Journal of Highway and Transport,1989,2(2): 28-37.(in Chinese))
[8]	倪元增, 钱寅泉. 箱梁剪力滞计算的翘曲函数法[J]. 铁道学报, 1990,12(2): 57-70.(NI Yuanzeng, QIAN Yinquan. Warping function method for shear lag calculation of box girder[J]. Journal of the China Railway Society,1990,12(2): 57-70.(in Chinese))
[9]	周茂定, 李丽园, 张元海. 薄壁箱梁的剪力滞翘曲位移函数研究[J]. 中国公路学报, 2015,28(6): 67-73.(ZHOU Maoding, LI Liyuan, ZHANG Yuanhai. Research on shear-lag displacement function of thin-walled boxed girders[J]. China Journal of Highway and Transport,2015,28(6): 67-73.(in Chinese))
[10]	谢旭, 黄剑源. 薄壁箱型梁剪力滞效应分析的刚度法[J]. 工程力学, 1995,12(2): 95-101.(XIE Xu, HUANG Jianyuan. Stiffness method for analysis of shear-lag effect on thin-walled boxed girder[J]. Engineering Mechanics,1995, 12(2): 95-101.(in Chinese))
[11]	冀伟, 吴焕庆, 刘世忠. 附加轴向位移对薄壁箱梁翼板应力的影响[J]. 公路交通科技, 2013,30(9): 69-73.(JI Wei, WU Huanqing, LIU Shizhong. Influence of additional axial displacement on flange stress of thin-walled box girder[J]. Highway Traffic Science and Technology,2013,30(9): 69-73.(in Chinese))
[12]	韦成龙, 曾庆元, 刘小燕. 薄壁箱梁剪力滞分析的多参数翘曲位移函数及其有限元法[J]. 铁道学报, 2000,22(5): 60-64.(WEI Chenglong, ZENG Qingyuan, LIU Xiaoyan. Warping displacement function and finite element method for calculation of shear lag effect in box girder[J]. Journal of the China Railway Society,2000,22(5): 60-64.(in Chinese))
[13]	周坚. 用余能原理解槽型宽梁的剪力滞问题[J]. 北京建筑工程学院学报, 1985,7(5): 42-46.(ZHOU Jian. On the shear lag problem of the groove type wide beam with the complementary energy principle[J]. Journal of Beijing Institute of Civil Engineering and Architecture,1985,7(5): 42-46.(in Chinese))
[14]	周坚, 涂令康. 再论槽型宽梁的剪力滞[J]. 北京建筑工程学院学报, 1991,11(2): 44-53.(ZHOU Jian, TU Lingkang. Further discussion on the shear hysteresis in the channel-shaped beam[J]. Journal of Beijing Institute of Civil Engineering and Architecture,1991,11(2): 44-53.(in Chinese))
[15]	张慧, 张玉元, 张元海, 等. 单箱双室简支箱梁剪切变形及剪力滞双重效应分析[J]. 应用数学和力学, 2016,37(8): 791-803.(ZHANG Hui, ZHANG Yuyuan, ZHANG Yuanhai, et al. Analysis on shear deformation and shear lag effect on twin-cell box girder[J]. Applied Mathematics and Mechanics,2016,37(8): 791-803.(in Chinese))
[16]	杨绿峰, 周月娥. 基于挠度的剪力滞系数分析箱梁剪力滞效应[J]. 防灾减灾工程学报, 2013,33(5): 494-496.(YANG Lüfeng, ZHOU Yuee. Application of deflection-based shear lag coefficient to analysis of shear lag effect of box-girders[J]. Journal of Disaster Prevent and Mitigation of Engineering,2013,33(5): 494-496.(in Chinese))
[17]	罗旗帜. 基于能量原理的薄壁箱梁剪力滞理论与试验研究[D]. 博士学位论文. 长沙: 湖南大学, 2005.(LUO Qizhi. Theory and model test studies of the shear lag in thin-walled box girders based on energy principle[D]. PhD Thesis. Changsha: Hunan University, 2005.(in Chinese))