均布与线性荷载下简支T梁剪力滞系数的圣维南解  

SAINT-VENANT SOLUTION FOR SHEAR LAG FACTORS OF SIMPLLY-SUPPORTED T BEAM UNDER UNIFORM OR LINEAR LOAD

作　　者：秦绪喜[1,2] 刘寒冰[1] 

机构地区：[1]吉林大学交通学院,长春130025 [2]吉林大学机械科学与工程学院,长春130025

出　　处：《工程力学》2009年第10期135-139,共5页Engineering Mechanics

基　　金：吉林省科技厅基础项目(20050531)

摘　　要：在辛弹性力学理论的基础上,将简支T梁的翼板简化为平面应力板,推导了简支T梁在满跨均布荷载与线性荷载作用下翼板部分的圣维南解析解,得到了闭合的关于梁长、梁宽及泊松比的多项式形式的剪力滞系数解析解表达式。以一宽翼板简支T梁为例,分别用推导出的剪力滞系数公式和有限元软件对此梁剪力滞系数进行了计算对比,验证了所推导公式的正确性。用该方法求解和验算简支T梁桥的剪力滞系数十分方便、快捷。According to Symplectic Elasticity, the wing plate of simply-supported T beam is assumed in the state of plane stress. Saint-Venant analytical solutions of wing plate under uniform or linear load are deduced respectively. The closed polynomial analytical solution of shear lag factors in terms of beam length, beam width and Poisson ratio is obtained. Taking a simply-supported T beam with wide wing as an example, the shear lag factors are calculated using both the formulas introduced here and FEM. A comparison between the formulas results and FEM results verifies the correctness of the deduced formulas. It is convenient and rapid to calculate shear lag factors of simply-supported T beam bridges using the dedeuced formulas.

关 键 词：简支T梁 剪力滞系数 结构计算 解析解 圣维南问题 

分 类 号：U448.212[建筑科学—桥梁与隧道工程]