钢筋混凝土柱二阶弹塑性计算的图解法  

GRAPHIC METHOD FOR CALCULATING THE SECOND-ORDER AND ELASTIC-PLASTIC PERFORMANCE OF RC COLUMNS

作　　者：陈旭[1] 周东华[1] 廖文远[1] 

机构地区：[1]昆明理工大学建筑工程学院,昆明650504

出　　处：《工程力学》2016年第7期151-158,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(51468026;51268022);国家自然科学基金青年基金项目(51308269)

摘　　要：对于钢筋混凝土柱的材料和几何非线性问题,基于正弦曲线的变形假设推导了钢筋混凝土柱二阶弹塑性极限荷载计算的图解法。通过分析钢筋混凝土截面弯矩-曲率关系曲线的切线特征,该法以柱子长细比和一阶偏心距为未知量,不对弯矩-曲率关系简化,直接将截面上弯矩-曲率关系曲线上的每一点作为极限承载力。采用分级加荷载的图解方法,能够同时得到荷载-挠度曲线的上升段和下降段。计算结果与试验值符合良好。结果表明:细长柱也可能出现材料强度破坏,其二阶极限承载力近似等于截面极限承载力。For the material and geometric nonlinearity of RC columns, a graphic method is derived to calculate the ultimate loads in consideration of the second-order effects and the elastic-plastic performance on the sinusoid deformation assumption. By analyzing the tangent characteristic of the sectional moment-curvature relationship curves, the slenderness ratio and the first-order eccentricity are taken as unknown variables in the method, while the moment-curvature curves are not simplified, and every point on the curve is taken as the ultimate loads directly. The upwards and downwards parts of load-deflection curves are obtained simultaneously by the graded-loading method. The results are in good agreement with the experimental results. The results show that the material strength damage may also occur in slender columns, and its second-order ultimate bearing capacity is approximately equal to the sectional ultimate bearing capacity.

关 键 词：钢筋混凝土柱 非线性分析 二阶效应 荷载-挠度 柱子曲线 

分 类 号：TU375.3[建筑科学—结构工程]