用置换法解有固定端的超静定小型刚架系统  

Solution of Small Scale Statically Indeterminate Frame with Fixed End System by Conversion Method

作　　者：喻晓今[1] 胡淑兰[1] 梁平英[1] 

机构地区：[1]华东交通大学土木建筑学院,江西南昌330013

出　　处：《华东交通大学学报》2008年第2期6-9,共4页Journal of East China Jiaotong University

基　　金：华东交通大学科研基金资助(06ZKTM05);江西省道路与铁道工程重点实验室资助

摘　　要：对多种梁挠曲线与悬臂梁挠曲线的关系研究作介绍,给出了求解各梁位移的置换法位移方程,包括转角方程和挠度方程.鉴于对刚架求解中稀有几何类方法的情况,运用所述的置换法,把解梁问题的手段应用于刚架的解算.给出了用置换法求解有固定端的超静定小型刚架系统的分析步骤,具体求解过程所用的计算为代数方程的分式四则运算,方法较通俗简便,结果是解析解.提供了两例不同类型刚架的计算全程,关键是由置换法位移方程表示出有关结点或转角或挠度的位移,以此找到包含未知反力的关系式.In the paper, the relationship between deflection curves of various kinds of beams and cantilever beam is introduced;the displacement equation of the conversion methods for resolving beams are given, including the equation of slope rotation angle and the equation of deflection. Owing to lack of geometric method for calculating frames, the conversion method used to calculate the beams is employed to resolve the frames now. It puts forward the analytic steps of the solution of small scale statically indeterminate frame with fixed end system by the conversion method. The concrete process of calculation belongs to primary computation of algebraic equation. Easy to understand, it gets analytic solution. It provides the calculation sequence of two examples of different types of frame. The most impertant is that the slope rotation angle or the deflection at concerning nodes is expressed by the conversion method so as to fred the relations of the concerning reaction forces.

关 键 词：置换法 比拟 位移 刚架 悬臂梁 

分 类 号：TU328[建筑科学—结构工程] TU323.5