Analytic Method for Shear Lag Effect of Box Girders Under Concentrated Bending Moments
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摘要: 以承受集中弯矩的简支梁结构为对象,基于能量变分法,获得了剪力滞效应计算的解析解通式.分别对仅跨内承受集中弯矩和单侧梁端承受集中弯矩简支梁,以及两侧梁端承受相反弯矩的纯弯梁,提出了剪力滞效应计算的理论公式,揭示了该类型结构的剪力滞规律.通过简支箱梁算例,研究了3种集中弯矩工况下的剪力滞效应,并和有限元板壳数值解进行对比分析.研究表明,该解析方法可以有效计算简支梁承受集中弯矩时的剪力滞效应.简支梁在集中弯矩作用部位存在较为突出的剪力滞效应.Abstract: For simply supported box girders under concentrated bending moments, general analytic solutions to shear lag effect were presented based on the energy variational principle. Formulae for shear lag effect were given for several typical cases of one bending moment acting on the girder span interior, one end, or both ends. For an example box girder, shear lag effect was calculated respectively in the 3 cases of concentrated bending moment applied. The analytic results were compared with those of the finite shell element method. It’s shown that the presented analytic method has high accuracy in the calculation of box girder shear lag effect in comparison with the finite element method. Where there exists a concentrated bending moment applied on a simply supported box girder, there occurs sharp shear lag effect.
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Key words:
- box girder /
- shear lag /
- concentrated bending moment /
- analytic solution
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[1] 胡海昌. 线弹性理论中的集中载荷[J]. 力学与实践, 1987,9(1): 22-24.(HU Hai-chang. Concentrated loads in linear elastic theory[J].Mechanical in Application,1987,9(1): 22-24.(in Chinese)) [2] 刘鸿文. 材料力学[M]. 第5版. 北京: 高等教育出版社, 2011.(LIU Hong-wen.Material Mechanics[M]. 5th ed. Beijing: Higher Education Press, 2011.(in Chinese)) [3] 卢同立. 力法的多重基本结构法[J] .长沙铁道学院学报, 1987,5(2): 122-127.(LU Tong-li. Multiple released structure method in force method[J].Journal of Changsha Railway Institute,1987,5(2): 122-127.(in Chinese)) [4] Oh B H, Jeon S-J. Realistic equivalent load methods in prestressed concrete structures[J].KCI Concrete Journal, 2001,13(1): 11-17. [5] 林元培. 斜拉桥[M]. 北京: 人民交通出版社, 2004.(LIN Yuan-pei.Cable Stayed Bridges[M]. Beijing: China Communications Press, 2004.(in Chinese)) [6] 郭金琼, 房贞政, 郑振. 箱型梁设计理论[M]. 北京: 人民交通出版社, 2008.(GUO Jin-qiong, FANG Zhen-zheng, ZHENG Zhen.Design Theory for Box Girder[M]. Beijing: China Communications Press, 2008.(in Chinese)) [7] Luo Q Z, Li Q S, Tang J. Shear lag in box girder bridges[J].Journal of Bridge Engineering,2002,7(5): 308-313. [8] Zhou S J. Finite beam element considering shear-lag effect in box girder[J].Journal of Engineering Mechanics,2010,136(9): 1115-1122. [9] Chang S T. Shear lag effect in simply supported prestressed concrete box girder[J]. Journal of Bridge Engineering,2004,9(2): 178-184. [10] Lertsima C, Chaisomphob T, Yamaguchi E. Stress concentration due to shear lag in simply supported box girders[J].Engineering Structures,2004,26(8): 1093-1101. [11] 张元海, 王来林, 李乔. 箱型梁剪滞效应分析的一维有限元法及其应用[J]. 土木工程学报, 2010,43(8): 44-49.(ZHANG Yuan-hai, WANG Lai-lin, LI Qiao. One-dimensional finite element method and its application for the analysis of shear lag effect in box girders[J].China Civil Engineering Journal,2010,43(8): 44-49.(in Chinese)) [12] ZHOU Shi-jun. Shear lag analysis in prestressed concrete box girders[J].Journal of Bridge Engineering,2011,16(4): 500-512. [13] 蔺鹏臻, 周世军. 基于剪切变形规律的箱梁剪力滞效应研究[J]. 铁道学报, 2011,33(4): 100-104.(LIN Peng-zhen, ZHOU Shi-jun. Analysis on shear-lag effect of box girders based on flange-slab shear deformation law[J].Journal of the China Railway Society,2011,33(4): 100-104.(in Chinese))
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