力学与实践 ›› 2017, Vol. 39 ›› Issue (3): 280-285.DOI: 10.6052/1000-0879-16-362

• 应用研究 • 上一篇    下一篇

双肋式T形梁力学性能的理论分析

甘亚南1, 石飞停1, 操俊林1,2   

  1. 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
  • 收稿日期:2016-11-07 修回日期:2016-12-19 出版日期:2017-06-15 发布日期:2017-06-30
  • 通讯作者: 甘亚南,副教授,主要从事桥梁结构设计理论方面的分析研究.E-mail:gyn-12@163.com
  • 基金资助:

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

Theoretical analysis of mechanical properties of T-beam with two-ribbed slabs

GAN Yanan1, SHI Feiting1, CAO Junlin1,2   

  1. 1. School of Civil Engineering and Architecture, Yancheng Institute of Technology, Yancheng 224051, Jiangsu, China;
    2. School of Civil Engineering and Architecture, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2016-11-07 Revised:2016-12-19 Online:2017-06-15 Published:2017-06-30

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.

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

Abstract:

The shear lag effect, 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 differential 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 effect to the stress and the deflection 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 the finite 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.

Key words:

T-beam with two-ribbed slabs|structure engineering|self-equilibrium condition|shear lag effect|energy-variation principle

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