摘要To evaluate the shear lag effect of a single-box multi-cell girder with corrugated steel webs objectively and accurately, the shear lag warping displacement function of a box girder with corrugated steel webs was proposed. This function was created by combining the calculated characteristics of a single-box multi-cell concrete box girder. By using the energy variational method, the basic differential equation of twin- and triple-cell box girders with corrugated steel webs was presented with consideration to the effect of shear lag. An example was analyzed by using both the solution of FEM and the presented method to study the distribution of shear lag under concentrated load and full-span uniformly distributed load, respectively.The effect of span-width ratio on the shear lag was also discussed. Research result shows that the FEM solutions and analytical solutions are in good agreement, but differences can be observed in the junctions of roof and floor box girder with corrugated steel webs. Furthermore, the overhanging edge of the cantilever plate needs to be revised. The corresponding shear lag coefficient presented in the study can be used as a reference value of the shear lag coefficient in box girder bridges with corrugated steel webs.
Abstract:To evaluate the shear lag effect of a single-box multi-cell girder with corrugated steel webs objectively and accurately, the shear lag warping displacement function of a box girder with corrugated steel webs was proposed. This function was created by combining the calculated characteristics of a single-box multi-cell concrete box girder. By using the energy variational method, the basic differential equation of twin- and triple-cell box girders with corrugated steel webs was presented with consideration to the effect of shear lag. An example was analyzed by using both the solution of FEM and the presented method to study the distribution of shear lag under concentrated load and full-span uniformly distributed load, respectively.The effect of span-width ratio on the shear lag was also discussed. Research result shows that the FEM solutions and analytical solutions are in good agreement, but differences can be observed in the junctions of roof and floor box girder with corrugated steel webs. Furthermore, the overhanging edge of the cantilever plate needs to be revised. The corresponding shear lag coefficient presented in the study can be used as a reference value of the shear lag coefficient in box girder bridges with corrugated steel webs.
基金资助:Supported by the National Natural Science Foundation of China (No.51268013, No.51468018); the Natural Science Foundation of Jiangxi Province (No.20114BAB216008, No.20122BAB206004); and the Scientific Research Project of Jiangxi Education Department (No.CJJ14384,No.GJJ14352)
陈水生, 田正龙, 桂水荣. 单箱多室波形钢腹板箱梁剪力滞研究[J]. Journal of Highway and Transportation Research and Development, 2016, 10(1): 33-40.
CHEN Shui-sheng, TIAN Zheng-long, GUI Shui-rong. Shear Lag Effect of a Single-box Multi-cell Girder with Corrugated Steel Webs. Journal of Highway and Transportation Research and Development, 2016, 10(1): 33-40.
[1] GUO Jin-qiong, FANG Zhen-zheng, ZHENG Zhen. Design Theory of Box Girder[M]. 2nd ed. Beijing:China Communications Press, 2008.(in Chinese)
[2] ABDEL-SAYED G. Effective Width of Steel Deck Plate in Bridge[J]. Journal of Structural Division, 1969, 95(ST7):1459-1474.
[3] MALCOLM D J, REDWOOD R G. Shear Lag in Stiffened Box Girders[J]. Journal of Structural Division, 1970, 96(ST7):1403-1415.
[4] CHENG Xiang-yun, TANG Kang-en. Bar Simulation Method of Shear Lag Effect Calculation in Box Girder[J]. Highway Engineering, 1984(1):65-73. (in Chinese)
[5] REISSNER E. Analysis of Shear Lag in Box Beams by the Principle of Minimum Potential Energy[J]. Quarterly of Applied Mathematics,1946, 5(3):268-278.
[6] GUO Jin-qiong, FANG Zhen-zheng, LUO Xiao-deng. Analysis of Shear Lag Effect in Box Girder Birdges[J]. China Civil Engineering Journal, 1983, 16(1):1-13. (in Chinese)
[7] ZHANG Shi-duo, XIE Qi. Shear Lag Effect and Finite Difference Method of Two Parabolic Variable Cross-section Cantilever Beam[J]. Structural Engineers, 1987(1):35-40. (in Chinese)
[8] LUO Qi-zhi. Calculation of the Shear Lag in Thin Walled Box Girders by the Finite Segment Method[J]. Journal of Hunan University, 1991(2):95-102. (in Chinese)
[9] WU You-ming, LUO Qi-zhi, YUE Zhu-feng, et al. Experimental and Analytical Study of the Shear Lag in Thin Walled Box Girders[J]. Journal of Highway and Transportation Research and Development, 2004, 21(2):73-76. (in Chinese)
[10] QIAN Yin-quan, NI Yuan-zeng. Warping Displacement Function for Calculation of Shear Lag Effect in Box Girder[J]. Journal of the China Railway Society, 1990, 12(2):57-70. (in Chinese)
[11] WEI Cheng-long, ZENG Qing-yuan, LIU Xiao-yan. 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)
[12] LI Li-feng, PENG Kun, WANG Wen. Theoretical and Experimental Study on Shear Lag Effect of Composite Box Girder with Corrugated Steel Webs[J]. Journal of Highway and Transportation Research and Development, 2009, 26(4):78-83. (in Chinese)
[13] ZHENG Shang-min, WAN Shui. Finite Element Analysis on Shear Lag Effect in Composite Girder with Steel Truss Webs[J]. Journal of Highway and Transportation Research and Development, 2013, 30(11):68-72. (in Chinese)
[14] LUO Min, LIN Peng-zhen, SUN Li-xiang. Analysis of Shear Lag Effect of Twin-cell Box Girders[J]. Mechanics in Engineering, 2013, 35(6):70-74. (in Chinese)
[15] LI Li-yuan. Theoretical and Experimental Research on the Shear-lag Effect in the Continuous Boxgirder with Corrugated Steel Webs[D]. Lanzhou:Lanzhou Jiaotong University, 2012. (in Chinese)
[16] WANG Jing. Analysis on Mechanical Characteristics of Single-box Multi-cell Girder with Corrugated Steel Webs[D]. Xi'an:Chang' an University, 2011. (in Chinese)
[1]
常柱刚, 王林凯, 夏飞龙. 基于CV NewMark-b法桥梁风致振动FSI数值模拟[J]. Journal of Highway and Transportation Research and Development, 2019, 13(2): 28-37.