An analytical solution for the large deflection problem of Timoshenko beams under three-point bending

被引：32

作者：

Mohyeddin, Ali ^{[1
]}

Fereidoon, Abdolhosein ^{[1
]}

机构：

[1] Semnan Univ, Dept Mech Engn, Semnan 3513119111, Iran

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2014年 / 78卷

关键词：

Large deflections; Three-point bending; Timoshenko beam; Analytical solution; CANTILEVER BEAM; POINT LOAD; SHEAR; TIP; DEFORMATION;

D O I：

10.1016/j.ijmecsci.2013.11.005

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This article is conducted to analyze the large deflections of a straight prismatic shear-deformable beam resting on simple supports at both ends and subjected to a point load at its midspan. Taking into account the transverse shear deformation, based on the Timoshenko beam theory, the system of non-linear differential equations is derived. Exact solution of the boundary value problem is obtained for horizontal, vertical and angular displacements. The results are compared with available experimental data and those obtained for Euler-Bernoulli beam in the literature. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：135 / 139

页数：5

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