车道荷载作用下箱梁应力放大系数的解析法研究
Analytical Study on Stress Amplification Factor of Box Girders Subjected to Lane Load
陈玮珂 1张元海1
作者信息
- 1. 兰州交通大学 土木工程学院,兰州 730070
- 折叠
摘要
为了便于用解析法分析偏心车道荷载作用下考虑箱梁扭转和畸变翘曲应力影响的应力放大系数,基于薄壁箱梁约束扭转和畸变控制微分方程的初参数解,得到偏心车道荷载作用下简支箱梁同时考虑约束扭转和畸变翘曲内力的解析解,进一步得到相应翘曲应力.结合简支薄壁箱梁数值算例,分析偏心车道荷载作用下计入扭转和畸变翘曲应力后的总应力相对于弯曲应力的应力放大系数.研究结果表明:算例薄壁箱梁跨中截面腹板与底板交点处的正应力放大系数达到 1.27,水平形心轴处腹板的剪应力放大系数达到 2.21;针对畸变翘曲应力的计算结果表明:跨中截面腹板与底板交点处畸变翘曲正应力约为扭转翘曲正应力的 5 倍;畸变翘曲剪应力在薄壁箱梁底板、腹板及悬臂板内均较大.
Abstract
In order to analyze the stress amplification factor of thin-walled box girders subjected to eccentric lane load considering torsion and distortion,based on the initial parameter solutions to the governed differential equations for constrained torsion and distortion,the analytic solution to the warping internal force of simply supported box girders was derived,and the relevant warping stress was further obtained.A simply supported thin-walled box girder was a-dopted to analyze the stress amplification factor relative to bending stress by considering torsion and distortion war-ping stress.The results show that the mid-span normal stress amplification factor at the intersection of web and bot-tom plates reaches 1.27,and the shear stress amplification factor for web plate at the horizontal centroid axis reaches 2.21.The calculation results for distortion and warping stress indicate that the distortion warping normal stress is a-bout 5 times to the torsion warping stress at the intersection of web and bottom plates in mid-span cross section.The distortion warping shear stress of thin-walled box girders is all relatively large in the bottom plate,web and cantile-ver plate.
关键词
薄壁箱梁/约束扭转/畸变/应力放大系数/翘曲应力Key words
thin-walled box girder/constrained torsion/distortion/stress amplification factor/warping stress引用本文复制引用
基金项目
国家自然科学基金(52368020)
国家自然科学基金(51968040)
出版年
2024
NETL
NSTL
维普
万方数据