力学与实践 ›› 2009, Vol. 31 ›› Issue (6): 69-70.DOI: 10.6052/1000-0879-2008-305

• 教育研究 • 上一篇    下一篇

Mp图与M1图选用不同基本结构的力法分析

宁宝宽 鲍文博 鲁丽华 陈四利   

  1. 沈阳工业大学建筑工程学院,沈阳 110178
  • 收稿日期:2008-06-06 修回日期:2009-02-19 出版日期:2009-12-10 发布日期:2009-12-08

Figures of and come from two basic structures in force method

  • Received:2008-06-06 Revised:2009-02-19 Online:2009-12-10 Published:2009-12-08

摘要: 在传统的结构力学力法教学中,无论是力法基本方程的建立还是方程中系数和自由项 的求解,都要求在同一基本结构上进行. 本文通过实例计算和比较,采用公式叠加原理分析 了当$M_p$图与$\overline M_1$图分别选自不同的基本结构时,力法基本方程的物 理意义以及计算过程的科学意义. 结果显示在力法计算中,基于不同的基本结构求 解超静定问题,可简化力法的计算过程. 用本文方 法开展教学,有利于学生对力法的深入理解和掌握.

关键词: 结构力学;超静定结构;力法;基本结构

Abstract: In traditional teaching of force method in structure mechanics, it is needed to carry on at the same basic structure regardless of establishment of fundamental equation or the solution of coefficients and the free items in equations. However, it is shown in this paper that force method could simultaneously solve questions of statically indeterminate structures based on two different basic structures and simplify the calculation process. Through calculation and comparison, the physical and scientific significance are explained with overlay method when two basic structures selected are different. Using this method in teaching is helpful for students to understand the force method deeply.

Key words: structure mechanics, statically indeterminate structure, force method, basic structure