箱梁剪力滞效应分析的有限梁段法

在薄壁箱梁剪力滞理论变分法基本微分方程的基础上,提出一种与一般梁单元方法相适应的分析箱梁剪力滞效应的有限梁段方法,导出相应的梁段单元计算剪力滞效应的系数矩阵和广义荷载列阵计算公式。分析简支梁和悬臂梁两种不同边界型式的箱梁在均布荷载和集中荷载等不同荷载条件下的剪力滞效应,并与相应的变分法解析结果做对比,验证本文方法的有效性和可靠性。本文方法简洁方便,计算公式表达简单,适宜各种边界条件下实际桥梁结构中箱梁剪力滞效应的分析。

Finite Segment Method of Shear Lag Analysis of Box Girders

Based on the governing differential equations by variational principle,a finite segment method corresponding to beam element for analyzing shear lag effect in box girders was proposed,and a series of matrix formulations for the finite segments including the shear lag coefficient matrix and generalized load vector were given.The shear lag effect was analyzed for both simply supported and cantilever box beams under uniform load per unit length and concentrated load.The results obtained from the finite segment procedure accurately agree with those from variational analysis method.This verifies the proposed method is reliable and can be easily applied to calculation of the shear lag effect of box girders in real structures under various boundary conditions.