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采用简化的纤维增强混凝土应力-应变关系,根据截面力的平衡方程和截面变形的平截面假定,推导出塑性铰区采用纤维增强混凝土柱不同极限状态时的曲率。根据柱的曲率分布规律,推导出由柱弯曲变形所引起的柱顶水平位移;采用Sezen模型推导出由柱底纵筋与混凝土粘结滑移所引起的柱顶水平位移,再考虑柱剪切变形引起的柱顶水平位移就得到总的柱顶水平位移。与试验结果对比表明,塑性铰区采用纤维增强混凝土柱在开裂荷载、屈服荷载、峰值荷载、极限荷载作用下的位移计算值与试验值吻合较好。
Based on the simplified stress-strain relationship of fiber-reinforced concrete, the curvature of the plastic hinge region under different limit conditions of fiber-reinforced concrete columns is deduced according to the balance equation of cross-section force and the assumption of flat section of cross-section deformation. According to the curvature distribution of the column, the horizontal displacement of the column top caused by the bending deformation of the column is deduced. The horizontal displacement of the column top caused by the bond slip between the longitudinal reinforcement and the concrete is deduced by Sezen model. The horizontal displacement caused by the deformation of the top of the column gives the total horizontal displacement of the top of the column. Compared with the test results, it is found that the calculated displacements of the fiber reinforced concrete columns under the cracking load, yield load, peak load and ultimate load are in good agreement with the experimental values.