积分中值定理在力学中的应用  

Some Applications of Intergral Mid-Value Theorem in Mechamics

作　　者：尹德生[1] 葛玮珉 

机构地区：[1]吉林建筑工程学院基础部

出　　处：《吉林建筑工程学院学报》1997年第4期37-42,共6页Journal of Jilin Architectural and Civil Engineering

摘　　要：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.

关 键 词：积分中值定理 剪应力 平衡微分方程 固体力学 

分 类 号：O34[理学—固体力学] O172[理学—力学]