摘要
提出了一种计算水平荷载作用下框架结构梁、柱端弯矩的近似方法,给出了方法的理论基础和求解过程。基于同一楼层梁、柱节点转角和楼层水平位移相等假定,可得柱端剪力平衡方程组和梁、柱节点弯矩平衡方程组,消去方程组中的楼层水平位移,得到以节点转角为基本未知量的方程组,方程组系数矩阵为三对角矩阵,迭代求解可得柱的加权转角,收敛速度很快;根据同楼层所有柱的节点转角和楼层剪力,可得楼层水平位移,应用力矩分配法计算梁、柱端弯矩。算例结果表明楼层转角法的解与有限元法解接近,计算精度远高于D值法。
A method is developed to analyze the end moments of members for a rigid frame structure applied by lateral loads.It is assumed that a frame had rigid diaphragms and identical rotations at the joints in each level;the story shears are distributed to each column by means of the ratios of relative-stiffness factors of columns.Based on the shear and moment equilibrium equations,the story drifts are eliminated,and simultaneous equations with unknown rotations are obtained;the weighted rotations of joints for each column at all levels are solved by iterations and converged rapidly.By virtue of the weighted rotations of joints and the shears,the story drifts are updated,and the initial end moments of members are obtained by slope-deflection equations;then the moment distribution method is used to calculate the end moments of all members.A numerical example is solved by the finite element method,the D-value method and the presented method,and the solutions by the presented method agree well with the solutions by the finite element method,and are superior to the results by the D-value method.
作者
张年文
ZHANG Nianwen(College of Architectural Engineering,Guangdong University of Petrochemical Technology,Maoming 525000,China)
出处
《广东石油化工学院学报》
2022年第6期50-53,共4页
Journal of Guangdong University of Petrochemical Technology
基金
广东石油化工学院博士启动项目(2019bs009)。
关键词
框架结构
水平荷载
内力计算
楼层转角法
力矩分配法
rigid frame
lateral load
internal forces calculation
story rotation method
moment distribution method
