巧用零载法辅助几何构造分析

Skillful Using Zero Load Method Aided Geometric Construction Analysis

几何构造分析是结构力学重要的组成部分,是学生掌握静定结构及超静定结构的内力和位移计算的基础。几何构造分析中,初学者对刚片的灵活选取一般不容易掌握。文中利用零载法,证明了三杆铰结杆件体系(其中一根杆件为支杆与基础相连),从几何构造分析的角度,可以等效为一个刚片(即一根杆件),为几何构造分析中刚片的简单选取提供了有效的解决方法,也使铰接三角形规律在几何构造分析中的应用得到了推进,方便初学者灵活掌握几何构造分析的基本方法。

In geometric construction analysis, the systems which contact with the ground three constraints or more and have multiple triangles, the common solution is not regard the triangle which hinges with the ground as a rigid sheet. But for some problems, the selection of the rigid sheet is not simple. Using zero load method, this paper proves that the hinge joint which forms by three bars, from the geometric construction analysis point of view, equivalents to a rigid sheet. It makes the selection of rigid sheet simply. The method is convenient for beginners to master.