积分中值定理在力学中的应用

Some Applications of Intergral Mid-Value Theorem in Mechamics

本文应用一元函数及多元函数的积分中值定理,严格地证明了固体力学中梁的弯矩、剪力与荷载集度之间的微分关系;

The ralations of beam bending moment, shearing force and distributed load, and the calculating formula of shearing stresses in rectangular section beams, and equi-librium differential equation of plane problems in elasticity are strictly proved, by means of intergral mid-value theorem in this paper.