求超静定等直梁的置换法  

CONVERSION METHOD FOR CALCULATION OF STATICALLY INDETERMINATE STRAIGHT BEAMS WITH UNIFORM CROSS-SECTION

作　　者：喻晓今[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：《工程力学》2007年第z1期66-69,共4页Engineering Mechanics

摘　　要：解超静定梁,用力矩分配法不失为一种手算的良方,然其亦有记忆转动刚度、分配系数、传递系数等要求;力法、位移法等法对弯矩图形面积、固端弯矩等图表的依赖性又较强。以悬臂梁置换法求超静定等直梁,依悬臂梁挠曲线可置换任一梁者之原理,在列写变形协调关系时采用置换法位移方程,由于该方程所涉及的荷载作用于悬臂梁自由端产生的挠度、转角较易记住,其格式重复运用可补足补充方程,故得梁的反力,进而内力、位移等量的精确解析解。The method of moment distribution is one of the better ways to solve a statically indeterminate beam. However,it has to depend on the memorization of rotational stiffness,distribution factor and carry-over factor of the different supports. The force method and the displacement method are dependent on moment area,fixed-end moment and so on. Conversion method is based on the theorem that the deflection of any beam can be converted into that of a cantilever beam. Deformation compatibility equations can then be established by the conversion method. Since it is easy to memorize the deflection and rotation of a cantilever beam at the fixed end,the precise solutions of the reaction,the internal force and the displacement of a beam can be achieved.

关 键 词：固体力学 超静定梁 置换法 位移 挠曲线 悬臂梁 

分 类 号：TU322[建筑科学—结构工程] TU323.3