期刊
JOURNAL OF ENGINEERING MECHANICS
卷 143, 期 9, 页码 -出版社
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)EM.1943-7889.0001297
关键词
Saint-Venant's solutions; Shear coefficients; Shear deformation factors; Timoshenko beam theory
Two elastostatic approaches are presented in order provide a simple, but technically effective, assessment of shear coefficients in Timoshenko beam theory. First the elasticity solution of Saint-Venant's flexure problem is used to set forth a unified formulation of Cowper's formula for shear coefficients. Afterward a novel elasticity-based displacement field for a Timoshenko beam is introduced and an energy-consistent variational scheme is developed using the Reissner principle. The new variational framework is then applied to elliptical, circular, and rectangular cross sections. Validation of the results is given by numerical comparison with the other shear deformation factors over an extended range of Poisson's and aspect ratios. Unlike previous treatments, the proposed shear coefficients for shallow cross sections do not result in numerical instability. (C) 2017 American Society of Civil Engineers.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据