用叠加法计算简支梁位移  

Slope and Displacement of Simply Supported Beam by Superposition Method

作　　者：苑学众[1] 谷凡[2] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168 [2]沈阳建筑大学土木工程学院,辽宁沈阳110168

出　　处：《沈阳建筑大学学报（自然科学版）》2009年第1期125-127,169,共4页Journal of Shenyang Jianzhu University：Natural Science

基　　金：辽宁省自然科学基金项目(20072011)

摘　　要：目的提出一种弯曲变形叠加的新方法.方法将简支梁转化为悬臂梁,利用悬臂梁的叠加方法,可求得简支梁任意截面的位移.结果求出了一个无法应用传统叠加法的阶梯外伸梁自由端的转角和挠度,并求出了该梁的简支段的最大挠度.结论该方法适用于计算作用集中载荷和分布载荷的简支梁等的位移,尤其适用于计算简支梁端截面的转角或外伸梁的自由端位移.A new superposition method for deflections of beams is suggested. A simply supported beam can be turned into a cantilevered beam. The slope and displacement at specific cross - section of the simply supported beam can be obtained by making use of the traditional superposition method for the cantilevered beams. The slope and displacement of the free end of an overhanging beam with discontinuous cross section, which cannot be determined by the traditional superposition method, are obtained. The maximum displacement of the simply supported section of the overhanging beam is also calculated. The new superposition method is applicable to simply supported beams with concentrated forces, couples and distributed loads. It is especially useful for the calculations of the slopes at the supports of simply supported beams and the slopes and displacements at the free ends of overhanging beams.

关 键 词：简支梁 悬臂梁 叠加法 位移 

分 类 号：TU311.1[建筑科学—结构工程]