基于机动法的等边三角形计算截面弯矩影响线

Influence Line of Section Bending Moment Calculated by Equilateral Triangle Based on Maneuver Method

提出应用等边三角形计算竖向位移值求解静定结构多跨梁某截面弯矩影响线的新思路,利用机动法形成机构,并发生单位位移形成几何位移图,应用等边三角形和相似比例关系计算竖向位移值,作出对应的截面弯矩影响线。通过静定单跨梁和多跨连续梁典型算例分析论证了本方法的可行性、优越性和快捷性。

A new idea is proposed to apply equilateral triangles to calculate vertical displacement values to solve the bending moment influence line of a certain section of a multi-span beam of a statically definite structure,using the maneuvering method to form a mechanism and a geometric displacement diagram with a unit displacement,the vertical displacement value is calculated by applying an equilateral triangle and a similar proportional relationship,and the corresponding cross-sectional bending moment influence line is made.The feasibility,superiority and speed of this method are demonstrated by analyzing the typical study cases of static single-span beam and multi-span continuous beam.