梁在几种典型载荷作用下的弹性力学求解方法

METHODS FOR SOLVING BEAM ELASTICITY PROBLEMS UNDER SEVERAL TYPICAL LOADS

梳理了针对梁在典型载荷作用下三种代表性求解方法,基于均布载荷作用下梁问题的解答,给出了梁受梯度分布载荷作用下的求解方法。将梁模型与复合材料力学相关联,加深了学生对弹性理论的理解。基于叠加原理,给出了具有复杂受载情况下梁的分析方法,拓展了学生对理论应用的认识,具有一定的工程应用价值和教学实践意义。

Three representative methods for solving the beam under typical loads are reviewed in this paper.Based on the solution of the beam problem under uniformly distributed load, the solving method of the beam under gradient distributed load is given. In addition, the beam model is also associated with composite materials mechanics, which deepens students’ understanding of the elastic theory. Based on the superposition principle,the analysis method of beam under complex loads is also given, which expands students’ understanding of the scope of theoretical application, and the content is of value both for engineering applications and teaching practice.