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力学与实践 ›› 2010, Vol. 32 ›› Issue (2): 116-118.doi: 10.6052/1000-0879-2008-605

• 教育研究 • 上一篇    下一篇

用材料力学解的切应力求解弹性力学问题

周道祥   

  1. 安徽建筑工业学院,230022,zhoudaoxiang@sina.com
  • 收稿日期:2008-12-16 修回日期:2009-04-10 出版日期:2010-04-08 发布日期:2010-04-08

Using Shear Stress to Solve Elastic Mechanics Problems

  • Received:2008-12-16 Revised:2009-04-10 Online:2010-04-08 Published:2010-04-08

摘要: 分析了切应力与正应力的关系,讨论了导出切应力公式的条件,提出按切应力求解弹性 力学问题的方法. 证明凡是$\sigma_y$与$x$无关的梁或者已知切应力为零的问题, 按切应力求解都是可行的. 用这种方法求解比 传统方法方便,运算简单. 该文给出了用切应力求解弹性力学平面问题的两个算例.

关键词: 弹性力学,解析法,应力分析

Abstract: This paper analyzes relationship between shear stress and normal stress. The conditions for introducing shear stress formulation were discussed, and a method to solve elastic mechanics problem using shear stress was introduced. It is proved that the problems, where the shear stress is zero or for beams having an independent on x, can be solved using shear stress. This method is simpler than conventional methods. Three examples were provided using shear stress to solve elastic mechanics problems.

Key words: Elasticity, Analysis method, Stress function