摘要
应用辛弹性力学的方法,将悬臂T梁的翼缘简化为平面应力板,推导了悬臂T梁在端部集中荷载、满跨均布荷载与线性荷载作用下宽翼缘部分的圣维南解析解,首次得到了闭合的多项式形式的圣维南解析解表达式。以一宽翼缘悬臂T梁为例,分别用推导出的解析解公式和有限元软件对此梁剪力滞系数进行了计算对比,验证了解析解表达式的正确性。这种方法丰富了悬臂T梁桥剪力滞的理论分析和简化计算。
With the method of Symplectic elasticity,the flange of T cantilever beam was simplified into plane stress plate.Saint-Venant analytic solutions of wide flange were deduced separately under concentrated load at the end and uniform or linear shear load applied to the whole span length.For the first time the closed polynomial analytic results of Saint-Venant problem were obtained.Then the shear lag coefficient of a cantilever beam with wide flange was obtained through Saint-Venant analytic solutions and FEM.So...
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2009年第3期691-696,共6页
Journal of Jilin University:Engineering and Technology Edition
基金
'863'国家高技术研究发展计划项目(2007AA11Z114)
关键词
工程力学
剪力滞
哈密顿体系
解析解
圣维南问题
engineering mechanics
shear lag
Hamilton system
analytic solution
Saint-Venant problem
