双肋式T形梁力学性能的理论分析  

THEORETICAL ANALYSIS OF MECHANICAL PROPERTIES OF T-BEAM WITH TWO-RIBBED SLABS

作　　者：甘亚南[1] 石飞停[1] 操俊林 GAN Yanan;SHI Feiting;CAO Junlin(School of Civil Engineering and Architecture, Yancheng Institute of Technology, Yancheng 224051, Jiangsu, China;School of Civil Engineering and Architecture, Lanzhou Jiaotong University, Lanzhou 730070, China)

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]兰州交通大学土木工程学院,兰州730070

出　　处：《力学与实践》2017年第3期280-285,共6页Mechanics in Engineering

基　　金：住房和城乡建设部研究项目(2016-K4-082);国家自然科学基金项目(50578054)资助

摘　　要：以能量变分原理为基础,考虑了剪滞翘曲应力自平衡条件、剪力滞后和剪切变形等因素,建立了双肋式T形梁广义位移的控制微分方程和自然边界条件,获得了相应广义位移的闭合解.进而以算例为基础讨论了自平衡条件、剪力滞后和剪切变形等因素对双肋式T形梁正应力和挠度的贡献.解析解与有限元数值解吻合更好,说明了本文方法的有效性.The shear lag e?ect,the shear deformation and the self-equilibrium condition for the T-beam with two-ribbed slabs are considered in the present study.Two generalized displacement functions are employed to analyze the mechanical characteristics,and the corresponding four ordinary di?erential equations with natural boundary conditions are derived.Then,the closed-form solutions for the generalized displacements are obtained.Furthermore,the contributions of the self-equilibrium condition,the shear lag e?ect to the stress and the de°ection of the T-beam with two-ribbed slabs are analyzed in detail.It is concluded that the mechanical analysis of the T-beam with two-ribbed slabs is more accurate.The numerical simulation using theˉnite element algorithm by the ANSYS validates the proposed approach.Thus,our theoretical analysis provides more insights than the share lag theory of the T-beam with multi-ribbed slabs.

关 键 词：双肋式T形梁 结构工程 自平衡条件 剪力滞后 能量变分原理 

分 类 号：U441.5[建筑科学—桥梁与隧道工程]