计算位移的虚悬臂梁法  

Virtual-Cantilever-Beam Method for Deflections of Beams and Frames

作　　者：苑学众[1] 刘杰民[1] 李宁[2] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168 [2]沈阳市房地产开发建设管理办公室,辽宁沈阳110013

出　　处：《沈阳建筑大学学报（自然科学版）》2010年第4期686-689,共4页Journal of Shenyang Jianzhu University：Natural Science

基　　金：辽宁省教育厅科学技术研究项目(2009A605)

摘　　要：目的提出用于计算梁或刚架弯曲变形的虚悬臂梁法.方法将简支梁或刚架的一个支座转化为有待求转角的固定端,利用变形协调条件,即另一个支座的边界条件,根据悬臂梁的叠加公式,可求出固定端的转角.简支梁或刚架转化为悬臂梁或悬臂刚架,利用逐段变形效应叠加法可求得简支梁或刚架任意截面的位移.结果虚悬臂梁法用于解静不定梁和静定刚架,求出了静不定梁的约束力和刚架铰支座处的位移.结论任何直梁、阶梯梁(包括刚架)均可转化为悬臂梁(刚架),从而可以用叠加法求出指定截面的位移.虚悬臂梁法适用于计算简支梁和刚架的位移.The virtual-cantilever-beam method for the deflections of beams and frames is suggested. One of the supports of a simply supported beam of a frame can be turned into a fixed support with slope. Making use of deformation compatibility condition of the beam and the superposition method formulas for cantilever beams, the angle of the fixed support is calculated. The simply supported beam or the frame is turned into a cantilever beam or frame. Then, making use of the segment-by-segment deflection-effect superposition method, the slope and displacement at specific cross-section can be obtained. A reaction force of a statically indeterminate beam is calculated by application of the method. The slope and displacement at the roller support of a frame are obtained also. The virtual-cantilever-beam method is suitable for the calculations of the slopes and displacements of simply supported beams and frames.

关 键 词：虚悬臂梁 梁 刚架 叠加法 位移 

分 类 号：TU311.1[建筑科学—结构工程]