梁纯弯曲的大变形分析

The Analysis of Large Deformation of Pure Bending in Beams

在平面应力问题中 ,分析了在梁端截面作用沿高度线性分布外力时纯弯梁大变形的几何非线性问题。给出了纯弯曲应力的精确解 ,并用欧拉法得到了位移的近似解。当泊桑比为零时 ,求得位移的精确解。

In the plane stress problem, the exact solution of stress in pure bending of beam acted by linear distributed external forces is obtained. The approximate solution of displacement is obtained by Euler method. When Poisson's ratio is zero, the exact solution of displacement is obtained.