剪切效应对空心梁弯曲正应力影响的分析  

ANALYZE THE INFLUENCE OF SHEAR EFFECT ON BENDING NORMAL STRESS OF HOLLOW BEAM

作　　者：吴晓 肖珍[1] WU Xiao;XIAO Zhen(School of Intelligent Building,Changde College,Changde 415000,Hunan,China;College of Mechanical Engineering,Hunan University of Arts and Science,Changde 415000,Hunan,China)

机构地区：[1]常德学院智能建筑学院,湖南常德415000 [2]湖南文理学院机械工程学院,湖南常德415000

出　　处：《力学与实践》2025年第2期440-446,共7页Mechanics in Engineering

基　　金：国家自然科学基金(52008164);湖南省自然科学基金(2021JJ50136)项目资助。

摘　　要：采用高阶剪切变形理论研究了空心梁弯曲应力的计算问题。指出了在分布载荷作用下,即使是细长空心梁的弯曲应力计算,有时也不能忽略剪切变形的影响。利用高阶剪切变形理论可以得到空心梁弯曲应力的通用封闭解析解,验证了Timoshenko梁理论计算梁弯曲变形需引入剪切修正系数的正确性。同时,对实际工程、材料力学教学关于计算空心梁弯曲应力有理论指导意义。The calculation of bending stress of hollow beams was studied by using the higher-order shear deformation theory.It is pointed out that the influence of shear deformation cannot be ignored sometimes in the calculation of bending stress of thin hollow beams under the action of distributed load.The general closed analytical solution of the bending stress of a hollow beam can be obtained by using the higher-order shear deformation theory.The correctness of the shear correction coefficient in the theoretical calculation of Timoshenko beam bending deformation is verified.And it has theoretical guiding significance for calculating bending stress of hollow beam in practical engineering and material mechanics teaching.

关 键 词：剪切效应 空心梁 弯曲应力 变形 解析解 

分 类 号：O341[理学—固体力学]