周道祥. 用材料力学解的切应力求解弹性力学问题[J]. 力学与实践, 2010, 32(2): 116-118. DOI: 10.6052/1000-0879-2008-605
引用本文: 周道祥. 用材料力学解的切应力求解弹性力学问题[J]. 力学与实践, 2010, 32(2): 116-118. DOI: 10.6052/1000-0879-2008-605
Using Shear Stress to Solve Elastic Mechanics Problems[J]. MECHANICS IN ENGINEERING, 2010, 32(2): 116-118. DOI: 10.6052/1000-0879-2008-605
Citation: Using Shear Stress to Solve Elastic Mechanics Problems[J]. MECHANICS IN ENGINEERING, 2010, 32(2): 116-118. DOI: 10.6052/1000-0879-2008-605

用材料力学解的切应力求解弹性力学问题

Using Shear Stress to Solve Elastic Mechanics Problems

  • 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.

     

    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.

     

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