钢筋混凝土柱二阶配筋的不同计算方法对比

计算钢筋混凝土柱的配筋,需要迭代求解材料非线性和几何非线性问题,不便实际应用。基于混凝土和钢筋的本构关系,根据截面应变求解精确的截面内力-曲率关系,简化杆件变形曲线为二次抛物线来计算外部作用。根据精确的截面内力-曲率曲线和外部作用曲线的特点,分别按照我国《混凝土结构设计规范》(GB 50010-2010)和欧洲规范(Eurocode 2),对截面的极限曲率进行了简化,最后绘制了计算杆件二阶总弯矩和配筋的总诺模图。通过具体算例对比分析,结果显示欧洲规范的简化与精确值更相符,且更经济。

Comparison of different methods for calculating the second-order reinforcement of reinforced concrete columns

To calculate the reinforcement of a reinforced concrete column,the problems of the material nonlinearity and the geometric nonlinearity must be solved,which needs iterative solution process and is inconvenient for a practical application.Based on the constitutive relationship of concrete and steel bars,the precise cross-section internal force-curvature relationship is determined according to the section strain,and the deformation curve of the member is simplified as a quadratic parabola to calculate the external effect.According to the characteristics of the accurate section internal force-curvature curve and external action curve,and the "Code for Design of Concrete Structures" (GB50010-2010) and Eurocode 2,respectively,the ultimate curvature of the cross-section is simplified respectively,and finally the nomogram for calculating the second-order total bending moment and reinforcement of the member is drawn.The comparative analysis of specific calculation examples shows that the simplification of the Eurocode is more in line with the precise values and is more economical.