超静定梁的一种计算方法——中心差分法

A KIND OF METHOD OF CALCULATION FOR INDETERMINATE BEAMS-METHOD OF MIDDLE DIFFERENTIAL

超静定梁的分析方法很多,本文采用中心差分法计算。该法的优点是能同时求出梁中若干点的挠度和转角,而其它方法则只能先求弯矩,再用虚梁法等求得挠度。为了便于应用,作者编制了比较通用的计算程序,对集中荷载、均布荷载、梯形荷载和力偶等作用下的超静定梁都能进行有效的分析。文中所举算例表明其精度。本程序稍加修改,可用于门式框架的计算。

There are many methods for analyzing indeterminate beams. In this paper the method of middle differential is used. The advantage of this method is that it can find the deflection and rotation of several points in the beam simultaneously, while only the bending moment is found first by using other methods and then the deflection by means of virtual beam.For the convenience of application, the method mentioned is converted into a universal computer program. This program can be used to analyze indeterminate beam efficiently under the action of point load, line load, trapezoid load and force couple. The accuracy of the results obtained by using this program is shown in the examples in the paper.The oprogtam with some modifications can also be applied to analzey portal-frame.