从一个怪例看细长梁理论的基本假定

分别采用欧拉和铁木辛柯梁理论分析了均匀分布力偶作用下的两端固支等截面匀质细长梁, 并通过ABAQUS有限元分析了一个实例, 验证了铁木辛柯梁理论分析的结果. 对比证明在这种载荷及边界条件下即使细长梁, 也必须考虑剪切效应的影响.

From an unusual example to basic assumption of slender beam's theory

Theory of beam is very important in engineering field. According to shear effect, it can be divided into Euler beam, Timoshenko beam and high order shear beam. Most engineering problems can be analyzed by using Euler’s or Timoshenko’s beam theories according the slenderness ratio of the engineering component is large or small. In this investigation both Euler’s and Timoshenko’s beam theories have been used to analyze the clamp-clamp uniform slender beam acted on uniform distributed applied couple. Abaqus finite element software has been used to resolve one example to validate the theoretical results. As to this load and boundary condition, analysis of slender beam must take into the shear effect account.