基于导函数与原函数的图像特征简化工程力学中剪力与弯矩图画法  

Simplifying the drawing method of shear force and bending moment diagrams in engineering mechanics image features of derivative function and primitive function

作　　者：崔文一 CUI Wenyi(Shanghai Industrial and Commercial Polytechnic,Shanghai 201806,China)

机构地区：[1]上海工商职业技术学院,上海201806

出　　处：《中国高新科技》2022年第18期115-118,共4页

摘　　要：在工程力学的教学中,直梁弯曲绘制剪力图与弯矩图是工程讲解中的重点和难点,传统的绘图方法是利用导函数与原函数的相关知识,根据一阶函数与二阶函数的关联,计算出函数段点对应的坐标后分段画出函数图像。这种讲述对于在校学习的职业学院学生以及想自学工程力学直梁相关知识的工程技术人员而言会造成很大困扰,因其中多数人数学基础薄弱,对于繁冗复杂的计算讲解都很难理解。文章利用导函数与原函数的图像特征关系简化了剪力与弯矩图画法,归纳总结直梁上特殊载荷的剪力和弯矩图的简便绘制方法。In the teaching of engineering mechanics, it is important and difficult to explain the drawing of shear force diagram and bending moment diagram of straight beam bending. The traditional drawing method is to calculate the coordinates corresponding to function segments and draw functional images in sections by using the related knowledge of derivative function and primitive function,and according to the correlation between first-order function and second-order function. Such kind of narration causes great troubles to vocational college students studying in school and engineers and technicians who want to teach themselves the knowledge of straight beams in engineering mechanics. As most of them have weak mathematical foundation, it is difficult to understand the tedious and complicated calculation explanations. This paper simplifies the drawing method of shear force and bending moment diagrams by using the image feature relationship between derivative function and primitive function, and summarizes the simple drawing method of shear force and bending moment diagrams of special load on straight beam.

关 键 词：导函数 原函数 剪力图 弯矩图 分段 面积 

分 类 号：G633[文化科学—教育学]