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从钢筋混凝土正截面承载能力计算时的平截面假定、不考虑混凝土抗拉强度、钢筋应力-应变关系为理想弹塑性模型的基本假定出发,建立了圆形截面上各种应力图形的函数表达式。利用曲线积分的数学方法,推导出计算钢筋混凝土圆形截面构件截面延性系数的数学公式,并给出了钢筋混凝土圆形截面在外力作用下截面应力图形形状的判别式,可供圆截面构件进行延性设计时参考。
From the assumption of flat section in the calculation of load-carrying capacity of normal section of reinforced concrete, the stress-strain relationship of reinforced concrete is taken as the basic assumption of ideal elastic-plastic model without considering the tensile strength of concrete and the function expression of various stress patterns in circular section . The mathematical formula for calculating the ductility coefficient of cross-section of RC circular cross-section members is deduced by the mathematical method of curve integral. The discriminant formula of cross-section stress shape under the action of external force is given, which is available for circular cross-section members Ductile design time reference.