材料力学中一个较真的问题——梁在集中力作用点处的剪力分析  

A PROBLEM WORTH DISCUSSING SERIOUSLY IN MECHANICS OF MATERIALS——HEAR FORCE ANALYSIS OF BEAMS AT THE POINT WHERE A CONCENTRATED FORCE IS APPLIED

作　　者：郭昱均 黄可 金鹏飞 范钦珊[2] 李栋栋 GUO Yujun;HUANG Ke;JIN Pengfei;FAN Qinshan;LI Dongdong(School of Aeronautics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Aerospace Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]南京航空航天大学航空学院,南京210016 [2]清华大学航天航空学院,北京100084

出　　处：《力学与实践》2022年第1期188-191,共4页Mechanics in Engineering

基　　金：江苏高校优势学科建设工程资助项目。

摘　　要：大多数材料力学教材在分析梁的剪力时,将集中力视为作用于一点的力,没有讨论在集中力作用点处截面剪力的情况。为了简单分析这一问题,本文采用力系等效方法,将集中力等效为关于其作用截面对称的分布载荷,从而得出了与实际情况更为接近的结论:在梁受集中力作用点处截面上的剪力是连续的,并可以确定该截面上的剪力。In most textbooks of“mechanics of materials”,the concentrated force is regarded as the force acting on a point when analyzing the shear force in beams,without discussions on the shear force at the point.To analyze this problem simply,the equivalent force systems method is adopted in this paper.The concentrated force is replaced with a distributed load that is symmetrical about the cross-section of action.It draws a conclusion closer to the actual situation:the shear force around that section changes continuously and its value can be determined theoretically.

关 键 词：集中力 剪力 力系等效 

分 类 号：O341[理学—固体力学]