摘要
为了更加便捷地求解简支梁任意截面的位移。借用位移法的求解思想,将简支梁从待求位移的截面处截开后转化成两个一端固定、一端简支的超静定梁,再利用弯矩相等和剪力相等的关系给出了建立关于待求截面角位移和线位移的二元一次方程组的3种做法。算例表明,利用位移法求解简支梁任意截面的位移比其他方法更加便捷,尤其是载荷种类和分布复杂时位移法的优势更加明显。
To more conveniently solve for the displacement of any section in a simply supported beam,this study adopts the concept of the displacement method.The simply supported beam is divided at the cros-section where displacement is to be calculated,transforming it into two statically indeterminate beams:one end fixed and the other simply supported.By utilizing the relationship of equal bending moments and equal shear forces,three approaches for establishing a system of binary equations for the angular displacement linear displacement of the target cross-section are proposed.Case studies demonstrate that the displacement method offers greater convenience than other methods in solving the displacement of arbitrary cross-sections in simply supported beams,particularly when the type and distribution of loads are complex,where its advantages become more pronouced.
作者
魏鹏云
李勇
李林
WEI Pengyun;LI Yong;LI Lin(College of Water Conservancy and Civil Engineering,Tarim University,Alar 843300,Xinjiang,China)
出处
《力学与实践》
2025年第4期826-832,共7页
Mechanics in Engineering
基金
农业水利工程省级一流本科专业建设项目(22000030107)
塔里木大学校长基金项目(TDZKSS202260)
塔里木大学高等教育教学改革研究项目(TDGJYB2412)资助。
关键词
位移法
简支梁
位移
杆端弯矩
固端弯矩
displacement method
simply supported beam
displacement
rod end bending moment
fixed-end moment
