考虑剪切变形影响的单跨曲线梁受力分析  

Mechanical analysis of single-span curved beams considering shear deformation effect

作　　者：王浩之 谭威[1] 夏桂云[1] 

机构地区：[1]长沙理工大学土木与建筑学院,湖南长沙410004

出　　处：《长沙理工大学学报（自然科学版）》2016年第2期40-47,共8页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(51278072);湖南省科技计划项目(2012FJ4125);长沙理工大学土木工程重点学科创新项目(16ZDXK09)

摘　　要：基于Timoshenko深梁理论及力法原理,建立了考虑剪切变形影响的单跨曲线梁计算方法,导出了单跨曲线梁在集中荷载作用下的内力及变形计算表达式。通过算例验证了所推导公式的正确性,同时分析了单跨曲线梁在圆心角、曲率半径变化下剪切效应对其变形的影响规律。研究结果表明,单跨曲线梁在集中荷载作用下,随着圆心角的变化,考虑剪切变形影响的深梁理论与不考虑剪切变形影响的初等梁理论间挠度计算结果相差甚大;随着曲率半径的变化,剪切效应对其挠度有较大影响;初等梁理论过低地估计了剪切效应在曲线梁变形中的影响。Based on the theory of Timoshenko deep beam and principle of force method, a calculation method about the single span curved beam considering the effect of shear de- formation is established, the internal forces and deformation formula of the single span curved deep beam under point load is deduced, and the derived formulas are verified by a functional example, then the rule of the single span curved beam under the influence of cen- tral angle, radius of curvature of shear effect influence of deformation is analyzed. Research results show that, single span curved beam under concentrated load with the change of the center angle, considering the effect of shear deformation of the deep beam theory and the theory of the primary beam without considering the influence of shear deformation, the re- sult of the deflection calculation is very large. With the change of the radius of curvature, the shear effect has a great influence on the deflection.Elementary beam theory is too low to estimate the effect of shear stress on the deformation of curved beam.

关 键 词：曲线梁 剪切变形 深梁理论 圆心角 曲率半径 

分 类 号：U448.42[建筑科学—桥梁与隧道工程]