钢-轻骨料混凝土组合梁考虑滑移的有效宽度分析  

Analysis for effective width considered slippage of composite steel-concrete beam with lightweight aggregate

作　　者：刘寒冰[1] 刘殿忠[1] 赵庆明[2] 闻玉辉[2] 

机构地区：[1]吉林大学交通学院,吉林长春130021 [2]吉林建筑工程学院,吉林长春130021

出　　处：《建筑结构学报》2007年第6期185-190,共6页Journal of Building Structures

基　　金：建设部研究开发项目(05-k5-10)

摘　　要：利用能量变分法,分析组合梁在界面产生相对滑移后,其组合梁翼缘板有效宽度的变化规律。假定钢-轻骨料混凝土组合梁翼缘板的纵向位移沿横向分布函数模式为三次抛物线,以组合梁界面相对滑移作为未知函数,应用最小势能原理,建立控制微分方程,获得了纵向应力的闭合解。在求解混凝土翼缘板纵向应力后,可确定翼缘有效宽度。文中推导了简支组合梁在均布荷载、集中荷载及两点对称集中荷载作用下的翼缘有效宽度的计算公式。利用有效宽度的计算公式可对任意截面有效宽度进行分析。通过算例分析了简支钢-轻骨料混凝土组合梁在不同荷载作用下的有效宽度沿梁长的分布规律:考虑相对滑移影响时,无论在哪种荷载作用下,沿梁长度方向翼缘板的有效宽度基本保持不变;在均布荷载作用下,跨中处翼缘板的有效宽度最大,向支座方向略有减小;在集中荷载作用下,荷载作用位置处翼缘板的有效宽度最小,向两侧逐渐增大。Based on energy-variati effective width are analyzed. Ass lightweight aggregate flange follows onal method, the interface slippage of composite beams and the variation of the uming that the longitudinal displacement of composite steel-concrete beam with cubic parabola in the transverse direction, with interface relative slippage function for composite beam as unknown function, the control differential equation can be established based on minimum potential energy principle for solving theoretical distribution of longitudian stress. After solving the flange longitudinal stress, the flange effective width can be investigated. Calculating formula of the flange effective width for simple support composite beam under the continuous load, the concentrated load and the symmetrical concentrated load on two points is derived. Random sectional effective width can be analyzed with the calculation formula. As a calculating example, longitudinal variations of the effective width for composite steel-lightweight concrete beam under the different distributed loads are discussed. Considering the relative slippage influence, the flange effective width along beam length is basically constant regardless of loading conditions. Under continuous load, the flange effective width is the widest at the middle span and diminishes slightly toward the supports. Under the concentrated load, the flange effective width is the minimum at the load position and increases gradually toward two end supports.

关 键 词：钢-轻骨料混凝土组合梁 有效宽度 相对滑移 能量变分法 

分 类 号：TU398[建筑科学—结构工程]