整体-局部弯曲模型及其在简支组合梁中的应用  

GLOBAL-LOCAL BENDING MODEL AND ITS APPLICATION IN SIMPLY SUPPORTED COMPOSITE BEAM

作　　者：丁敏[1] 蒋秀根[1] 孟石平[1] 张凤杰[1] 董蔚[1] 许宁[1] 

机构地区：[1]中国农业大学水利与土木工程学院,北京100083

出　　处：《工程力学》2012年第12期233-240,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(50979108);新世纪优秀人才支持计划项目(NCET-08-0542);教育部中央高校基本科研业务费专项资金项目(2011JS126);科技部"十一五"国家科技支撑计划项目(2008BADC4B03)

摘　　要：为建立钢-混凝土组合梁界面滑移及考虑界面滑移的挠曲线计算模型,基于Bernoulli梁理论和剪力连接件线性剪力-滑移模型,从梁体平衡方程、几何方程和物理方程出发,建立了基于全微分的截面弯矩和剪力分配计算方法,提出了适用于组合梁变形分析的整体-局部弯曲模型,通过引入整体弯矩分配系数,建立了组合梁界面滑移及挠度控制方程。将整体-局部弯曲模型应用于简支组合梁变形分析,利用MAPLE软件对其进行求解,得到了均布荷载、跨中集中荷载、对称集中荷载三种荷载工况下的简支组合梁界面滑移公式与挠曲线方程,与国内外已有试验结果和相关研究成果相对比,结果表明该文计算结果与实际情况吻合较好。To present the calculation model for the interface slip and deflection curve considering the interface slip of a steel-concrete composite beam, on the basis of Bernoulli beam theory and the linear shear-slip model of shear connectors, the method to calculate the distribution of the bending moment and shearing force of cross sections by total differentiation, as well as a global-local bending model suitable for composite beam deformation analysis are proposed by means of the equilibrium equation, geometric equation and constitutive equation of the beam. Furthermore, the control equation for the interface slip and deflection of the composite beam is put forward using the distribution coefficient of global moment. The formulas for the interface slip and deflection curve equation of a simply supported composite beam under a uniform distributed load, a concentrated load at mid-span and a symmetric concentrated load are proposed by applying the global-local bending model to the deformation analysis of the simply supported composite beam and by calculating with MAPLE software. Compared with the existing test data, the calculation results meet well with the actual conditions.

关 键 词：整体 局部弯曲模型 组合梁 滑移 挠度 弯矩分配系数 

分 类 号：TU398[建筑科学—结构工程]