钢筋混凝土T形截面弯矩-曲率关系的逆解法  

Inverse method for bending moment-curvature relationship of reinforced concrete T-section

作　　者：罗莎 周东华[1] LUO Sha;ZHOU Donghua(School of Architectural Engi neering,Kunming University of Science and Technology,Kunming 650500,China)

机构地区：[1]昆明理工大学建筑工程学院,云南昆明650500

出　　处：《四川建筑科学研究》2021年第2期19-27,共9页Sichuan Building Science

基　　金：国家自然科学基金(51668027)。

摘　　要：根据混凝土和钢筋的本构关系,推导得出了钢筋混凝土T形截面弯矩-曲率相关关系的计算公式,利用软件编写程序得到了相关关系曲线,在公式推导过程中无需进行迭代计算,只需对T形截面进行应变分析,就可得到对应的应变变化区域,随后以上部混凝土应变以及下部钢筋应变作为自变量,得到了各相关参数及其内力表达式,最终在轴力已知的情况下得到了弯矩-曲率曲线。该曲线能够直观地反映随着轴力的改变,弯矩-曲率曲线的变化趋势及其规律,通过由曲线得到的延性系数,可判断构件抗震性能的优劣性。According to the constitutive relationship between concrete and reinforcement,the calculation formula of the bending moment-curvature correlation of the reinforced concrete T-section is deduced,and the correlation curve is obtained by the program.In the formula derivation process,iterative calculation is not needed,but the T-section is subjected to strain analysis to obtain the corresponding strain change area,and then the upper concrete strain and the lower reinforcement strain are used as independent variables to obtain the relevant parameters and their internal force expressions.Finally,the bending moment-curvature correlation curve is obtained when the axial force is known.It can intuitively observe the changing trend and law of the bending moment-curvature curve with the change of axial force,and the ductility coefficient obtained from the curve can judge the quality of seismic performance.

关 键 词：弯矩-曲率曲线 逆解法 应变区域 延性系数 本构关系 

分 类 号：TU375[建筑科学—结构工程]