摘要
基于静力学平衡方程、几何方程、物理方程,选取合适的约束扭转翘曲位移函数,建立箱形梁在扭矩作用下以扭转角θ(z)和翘曲程度β'(z)为变量的微分方程组。对该微分方程解耦,考虑边界条件,得到θ(z)和β'(z)沿梁轴向的分布规律。选取某单箱单室混凝土箱形梁截面进行约束扭转分析,研究表明:均布偏心荷载作用下约束扭转双力矩沿梁轴向的分布与均布荷载作用下弯矩沿梁轴向的分布类似,约束扭转双力矩的一阶导数沿梁轴向的分布与均布荷载作用下剪力的分布类似;约束扭转翘曲正应力、约束扭转剪应力与弯曲应力和自由扭转剪应力相比,可以忽略不计。
Based on statics equilibrium equation,geometric equation,physics equation,an appropriate warping displacement function is chosen in this article,the fundamental unknown quantity,torsion angleθ（z） and warping degree β＇（z）,is adopted to build differential equation system of box girder under torsion load. By decoupling the above-mentioned differential equation system,and the boundary condition is considered,the distribution laws of the torsion angle θ（z） and warping degree β＇（z） are obtained along the axial direction. Meanwhile a section of single-box single cell thin-walled box girder was analyzed under eccentric load,using the formula mentioned above. The results showthat,under the uniform eccentric load,restrained torsion bi-moments distribution along beam axial direction is similar to its moment distribution,also the restrained torsion bi-moments first order distribution along beam axial direction is similar to its shear distribution. Warping normal stress and restrained torsion shear stress is negligible to its bending stress and free torsion shear stress.
作者
郭靖宇
管松
年玉泽
万水
GUO Jingyu;GUAN Song;NIAN Yuze;WAN Shui(Highway Administration Bureau of Fuyang,Fuyang 236000;School of Transportation,Southeast University,Nanjing 210096)
出处
《常州工学院学报》
2018年第3期10-14,27,共6页
Journal of Changzhou Institute of Technology
基金
阜阳市公路管理局科技项目(8521001822)
关键词
翘曲位移函数
微分方程
翘曲正应力
约束扭转剪应力
Key words： warping displacement function
differential equation
warping normal stress
restrained torsion shear stress
