摘要
重点分析了由剪力、弯矩与分布外载荷集度的导数关系绘制剪力图和弯矩图的基本原理和方法。指出了用代数面积求横截面的剪力和弯矩的计算公式的局限性,即所给出的计算公式仅解决了梁上既无集中外载荷也无集中外力偶作用时梁横截面的剪力和弯矩的计算问题,而这些公式对梁上既有集中外载荷又有集中外力偶作用时梁横截面的剪力和弯矩的计算问题不适用。经分析研究,对给出的计算公式进行了修正,很好地解决了上述问题。
In this article,the basic principles and general methods for drawing the shear diagram and bending moment diagram by the relations of derivative among shear force,bending moment and density of external distributed load have been analyzed mostly.The formulas of calculating shear force and bending moment by algebra area in some internal and external textbooks and research thesis are limited.And they have only solved the problem in the case that there is no concenter external force and no concenter comples on a beam. In the case of both concenter external forces and concenter external comples on a beam, those calculation formulas are useless. The complete calculation formulas after correcting the localizations for solving all the cases have been given out at the same time.
作者
黄开志
郑航太
HUA NG Kai-zhi ZHENG Hang-tai （Chongqing University of Science and Technology, Chongqing 401331 ）
出处
《重庆科技学院学报：自然科学版》
CAS
Journal of Chongqing University of Science and Technology：Natural Science Edition
关键词
材料力学
截面法
剪力图
弯矩图
代数面积
mechanics of materials
method of section
shear diagram
moment diagram
algebra area
