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对于钢筋混凝土柱的材料和几何非线性问题,基于正弦曲线的变形假设推导了钢筋混凝土柱二阶弹塑性极限荷载计算的图解法。通过分析钢筋混凝土截面弯矩-曲率关系曲线的切线特征,该法以柱子长细比和一阶偏心距为未知量,不对弯矩-曲率关系简化,直接将截面上弯矩-曲率关系曲线上的每一点作为极限承载力。采用分级加荷载的图解方法,能够同时得到荷载-挠度曲线的上升段和下降段。计算结果与试验值符合良好。结果表明:细长柱也可能出现材料强度破坏,其二阶极限承载力近似等于截面极限承载力。
For the material and geometric nonlinearity of reinforced concrete columns, the second-order elasto-plastic ultimate load calculation method for reinforced concrete columns is deduced based on the assumption of sinusoidal deformation. Based on the analysis of the tangent characteristics of the moment-curvature curve of the reinforced concrete section, this method takes the slenderness ratio and the first-order eccentricity of the column as unknowns and does not simplify the relationship between the moment and the curvature. The curve on the moment- Every point as the ultimate bearing capacity. The grading and loading diagram can be used to obtain the rising section and the falling section of the load-deflection curve at the same time. The calculated results are in good agreement with the experimental data. The results show that the slender columns may also have material strength failure, and the second-order ultimate bearing capacity is approximately equal to the ultimate bearing capacity.