Large deflections of a beam subject to three-point bending

被引：34
|
作者：
Batista, Milan [1 ]
机构：
[1] Univ Ljubljana, Fac Maritime Studies & Transport, Portoroz 6320, Slovenia
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2015年 / 69卷
关键词：
Elasticity; Cantilever; Large deflections; Three-point bending test;
D O I：
10.1016/j.ijnonlinmec.2014.11.024
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
in this paper, a solution for the equilibrium configuration of an elastic beam subject to three-point bending is given in terms of Jacobi elliptical functions. General equations are derived, and the domain of the solution is established. Several examples that illustrate a use of the solution are discussed. The obtained numerical results are compared with the results of other authors. An approximation formula by which the beam load is given as a polynomial function of beam deflection is also derived. The range of applicability of the approximation is illustrated by numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：84 / 92
页数：9
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