对横力弯曲梁的正应力和挠度计算精度的研究

Study on Calculating Precision of Stress and Displacement for Beam

本文运用弹性力学方法 ,导出了梁的应力函数 ,应力和位移的精确解的表达式 ,与材料力学中的近似计算式比较 ,并定量求得近似解的最大误差值。结果表明 :对于跨高比l/h≥ 10的浅梁 ,按材料力学的方法可大大简化计算 ,其结果也能够满足工程精度的要求。

This text educes the expressions of exactness uncoil of stress,displacement and stress function of a beam,using the method of elasticity,comparing with the formula of material mechanics,and educing the maximal error.The result indicates:for the beam of lh≥10,the calculating result by using the formula of material mechanics can satisfy the requirement of engineering precision.