钢筋混凝土连续梁支反力增量相关方程的计算

在平截面假定基础上,根据钢筋混凝土截面弯矩M与曲率φ的关系表达式,采用CDC挠曲线法分析了连续梁的弹塑性受力反应.以弯矩增量ΔM与曲率增量Δφ的关系式导出了支反力增量与变形增量的相关公式.通过求解线性方程组确定了连续梁支反力增量的调整量,使始端支反力的修正有规则可循,全面、定量地反映出了连续梁内力重分布性能,4跨连续梁的示例分析显示了该方法具有较高的计算速度及精度.

Calculating the Support Reaction Increment's Correlation Equation of R.C Continuous Beams

According to the hypothesis of plain section and the equation of moment versus curvature of R.C section, the elastic-plastic response of pressed continuous beams is analyzed with CDC-method. The correlation equation of support reaction increment and displacement increment is induced through the relation of moment increment and curvature increment,and the adjustment value of support reaction increment of continuous beams is determined by solution of linear equation systems,which provides a rule the support reaction to follow. It can roundly and quantificationally display the moment redistribution behavior of continuous beams. A case of 4 spans continuous beam shows a high calculation rate and precision of this method.