力矩分配法求多跨刚架的影响线方程

Influencial Line Equations for Multi-Span Rigid Frames by Moment Distribution Method

用传统的力矩分配法和几何级数求和相结合,改变了以往完全靠弯矩数值的分配与传递进行力矩分配的方法,采用代数表达式的分配与传递进行力矩分配,将每次分配和传递的表达式进行求和,利用几何级数的求和公式得到了多跨刚架结构杆端弯矩的影响线方程。

The combination of basic influential line equations derived by traditional moment distribution method and geometrical series summation changes the moment distribution method got by distributing the fixed end moments algebraically used in the traditional Hardy Cross approach. The present method distributes the fixed end moments by successive arithmetical approximations. Summing each distributed moments and the corresponding carried-over moments in arithmetic series form, the end moment equations are derived.