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斜偏心受压钢筋混凝土截面应力计算是工程上经常遇到的问题,计算比较复杂。本文取中和轴为坐标轴,将静力平衡方程组变为非线性最小二乘问题,用单纯形法求最优解,选择出正确的中和轴位置及截面任意点应力。一、计算方法概述设中和轴为Y轴,通过压力作用点,且垂直于中和轴的轴为X轴,组成直角坐标系。根据静力平衡条件可列出法向力平衡,对Y轴的弯矩平衡,对X轴的弯矩平衡三个方程式,即
The calculation of the stress of the inclined eccentric compression reinforced concrete section is a problem often encountered in engineering, and the calculation is more complicated. In this paper, the neutral axis is taken as the coordinate axis, and the static equilibrium equations are changed to nonlinear least squares problem. The simplex method is used to find the optimal solution, and the correct neutral axis position and cross-section arbitrary point stress are selected. I. Overview of the calculation method The neutral axis is the Y-axis, and the point of pressure is applied. The axis perpendicular to the neutral axis is the X-axis and forms a rectangular coordinate system. According to the static equilibrium conditions, the three equations of the normal force balance, the Y-axis bending moment balance, and the X-axis bending moment balance can be listed.