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集中荷载作用下一次超静定梁的弹性力学解
引用本文:李会知,刘敏珊,董其伍.集中荷载作用下一次超静定梁的弹性力学解[J].郑州大学学报(理学版),2005,37(4):101-104.
作者姓名:李会知  刘敏珊  董其伍
作者单位:1. 郑州大学土木工程学院,郑州,450002;郑州大学热能工程研究中心,郑州,450002
2. 郑州大学热能工程研究中心,郑州,450002
摘    要:根据弹性力学平面问题的基本理论,采用半逆解法,求出了单跨一次超静定梁在集中荷载作用下的应力和位移多项式解,并与材料力学解进行了比较,说明了材料力学解的精度和适用范围,可供工程结构设计和弹性力学教学参考.

关 键 词:超静定梁  应力  位移  集中荷载  弹性力学
文章编号:1671-6841(2005)04-0101-04
收稿时间:12 18 2004 12:00AM
修稿时间:2004年12月18

Elastic Mechanics Solution of Beams with One Degree of Indeterminacy Under the Action of Concentrated Load
Li Huizhi,Liu Minshan,Dong Qiwu.Elastic Mechanics Solution of Beams with One Degree of Indeterminacy Under the Action of Concentrated Load[J].Journal of Zhengzhou University:Natural Science Edition,2005,37(4):101-104.
Authors:Li Huizhi  Liu Minshan  Dong Qiwu
Institution:1. College of Civil Engineering, Zhengzhou University, Zhengzhou 450002, China; 2.Research Center of Heat Energy Engineering, Zhengzhou University, Zhengzhou 450002, China
Abstract:By means of the basic theory of plane problem in elastic mechanics anct by using naif adverse solving method, the stresses and displacements of beams with one degree of indeterminacy under the action of concentrated load are calculated, and the results are compared with the material mechanics solutions. The precision and applicability of solutions of material mechanics are discussed from above solutions. The results may be helpful for structure design and elastic mechanics teaching.
Keywords:statically indeterminate beam  stress  displacement  concentrated load  elastic mechanics
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