混凝土板柱节点冲切承载力的极限分析  

ULTIMATE STRENGTH ANALYSIS OF PUNCHING SHEAR CAPACITY OF CONCRETE SLAB-COLUMN CONNECTIONS

作　　者：易伟建[1] 刘彪[1] 

机构地区：[1]湖南大学土木工程学院,湖南长沙410082

出　　处：《工程力学》2017年第8期125-132,143,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(51338004;51178175)

摘　　要：基于抛物线形的Mohr-Coulomb破坏准则,推导出了求解混凝土板柱节点冲切承载力最小上限解的偏微分方程,通过该偏微分方程求解出了圆柱节点承载力的解析解,同时也求解出了方柱节点承载力的级数解。通过对试验中板柱节点冲切破坏特征的总结,确定了塑性极限分析中相关参数的取值,推导出了能用于实践的计算公式,经检验效果良好。对比分析了圆柱、方柱节点冲切破坏屈服面上的空间应力分布状况,发现圆柱和方柱节点柱边的应力高于板底的应力,在方柱节点在柱角处存在应力集中现象。Based on the parabolic Mohr-Coulomb failure criterion, the partial differential equation that can be applied to obtain the minimum upper-bound solution of the punching shear strength of concrete column-slab connections is derived. Based on the equation, the analytical solution corresponding to the bearing capacity of circular column-slab connections and the series solution corresponding to the bearing capacity of square column-slab connections are obtained. The relevant parameter values of plastic theory are determined by summarizing the experimental punching shear characteristics of slab-column connections, and the formulas which can be effectively used in practice are derived. For circular column-slabs connections and square column-slabs connections, the spatial distribution of stress in punching damage yield surface are analyzed comparatively. The results show that the stress at the edge of column is higher than that in the bottom of slab in both of the two connections. For square column-slabs connections, stress concentration is found at the corner of the column.

关 键 词：结构工程 冲切强度 极限分析 板柱节点 MOHR-COULOMB准则 

分 类 号：TU313.2[建筑科学—结构工程] TU375