轴向变形对细长梁位移的影响  

Effect of Axial Deformation on Displacement of Slender Beam

作　　者：魏鹏云 张琴[1] 李林[1] WEI Pengyun;ZHANG Qin;LI Lin(College of Water Conservancy and Civil Engineering,Tarim University,Alar 843300,Xinjiang,China)

机构地区：[1]塔里木大学水利与建筑工程学院,新疆阿拉尔843300

出　　处：《工程与试验》2025年第1期1-5,共5页Engineering and Test

基　　金：兵团级一流本科课程;塔里木大学校级一流本科课程项目(编号:TDYLKC202109);塔里木大学校长基金项目(编号:TDZKSS202260);塔里木大学高等教育教学改革研究项目(编号:TDGJYB2412)。

摘　　要：为了探讨轴向变形对细长梁位移的影响,针对3种可以考虑轴向变形的受力情形,即滚轴支座倾斜时的简支梁受满跨均布荷载作用、悬臂梁受斜向集中力作用及简支斜梁受满跨均布荷载作用,利用单位荷载法推导了相应的轴向变形引起的位移公式及弯曲变形引起的位移公式,分析了关键参数对轴向变形引起的位移与弯曲变形引起的位移的比值的影响。研究结果表明,在计算细长梁的位移时,是否考虑轴向变形的影响需视具体受力情形而定。In order to explore the effect of axial deformation on slender beam displacement,three kinds of force conditions that can cause axial deformation are considered,namely,the simply supported beam is subjected to uniform load when the roller bearing is tilted,the cantilever beam is subjected to diagonal concentrated force and the simply supported inclined beam is subjected to uniform load.The displacement equations caused by axial deformation and the displacement equations caused by bending deformation are derived by using the unit load method,and the influence of key parameters on the ratio of the displacement caused by axial deformation to the displacement caused by bending deformation is analyzed.The results show that whether to consider the influence of axial deformation depends on the specific force condition when calculating the displacement of slender beam.

关 键 词：轴向变形 弯曲变形 细长梁 位移 

分 类 号：O341[理学—固体力学]