考虑剪力滞效应的钢-混凝土结合梁位移闭合解  

Closed Solutions of Composite Steel-Concrete Beams Displacement Considering Shear Lag Effect

作　　者：陈勉[1] 

机构地区：[1]西南交通大学土木工程学院,四川成都610031

出　　处：《重庆交通大学学报（自然科学版）》2011年第4期717-720,共4页Journal of Chongqing Jiaotong University(Natural Science)

摘　　要：基于传统初等梁理论假设钢-混凝土结合梁的应力沿宽度呈均匀分布,而考虑剪力滞后效应影响,混凝土板和钢梁上、下翼板的应力沿宽度呈近似抛物线的分布状态。为了准确地估计钢混凝土结合梁的应力状态,对混凝土板和钢梁翼板分别取不同的剪力滞翘曲位移函数,运用势能变分原理,推导了钢混凝土结合梁考虑剪力滞效应的控制微分方程,并求出了其闭合解。通过算例分析并与ANSYS分析结果的对比,该方法计算结果与ANSYS结果相对误差仅为4.0%,从而验证了该方法的准确性和精度。In view of the primary beam theory, which assumes that the stress of reinforced composite steel-concrete beams was well-distributed along the width. But considering the shear lag effect, the stress of concrete slab and upper and lower beam alar plates were distributed approximately as a parabola. In order to estimate the stress condition of the reinforced composite steel - concrete beams precisely, different shear lag warping displacement functions were separately given to the concrete slab and beam alar plate. Meanwhile, the potential variational theory was adopted to derive the differential equa- tion of reinforced composite steel-concrete beams considering shear lag effect, and obtain its closed form solution. Through the results comparison of example analysis and ANSYS analysis, it reveals that ： the relative error of results by this method and ANSYS is only 4.0% , thus the veracity and precision of this method are verified.

关 键 词：钢混凝土结合梁 剪力滞效应 位移 闭合解 

分 类 号：U311[交通运输工程]