变截面悬臂梁在任意载荷作用下弯曲问题研究

本文提供了一种求解变截面悬臂梁在任意载荷作用下最大正应力及最大变形的方法。此种方法运用了以能量为基础的瑞利－李兹法求挠度，避免了一般材料力学中采用直接积分的方法所带来的困难。运用此方法对两例不同截面、不同载荷作用下的悬臂梁的最大正应力及最大变形求解，其过程较简洁。可以看出此法具有通用性，能方便地解决此类问题。

Bending of Cantilever Beams of Variable Cross Section under Arbitrary Loads

We know that the cantilever beams are commonly used in engineering structure. Strength and stiffness should be considered in design of the structure. In the paper, the Rayleigh Rits method is presented. It does not need direct integration which is often used in context of strength of materials. It may solve the problems of maximum stress and maximum deformation of cantilever beams with variable cross section under arbitrary loads. Two examples are presented using computer aided calculation and sophisticated equations maybe rapidly solved in the way.