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双向压弯作用下,为快速有效的求解钢筋混凝土构件正截面极限承载力,提出一种通用算法,并编制了相应的计算程序。基于平截面假定列出非线性平衡方程组,通过直接迭代求解与给定外力对应的应变场,在此基础上通过试算求得该截面的极限承载力。该算法适用于任意形状的截面和任意的材料本构关系。大量计算实例证实了该算法稳定收敛且结果准确,给出了其中两种典型截面算例的收敛曲线和计算结果的对比表。该算法为工程设计人员提供了一种简明有效的计算正截面极限承载力的方法。
Under the action of bidirectional bending, a general algorithm is proposed to calculate the ultimate bearing capacity of reinforced concrete members quickly and effectively. Corresponding calculation programs are also compiled. Based on the assumption of flat section, the nonlinear equilibrium equations are listed. The strain field corresponding to a given external force is solved by direct iteration. Based on this, the ultimate bearing capacity of the section is obtained through trial calculation. The algorithm is suitable for any shape of the cross-section and any material constitutive relationship. A large number of calculation examples show that the algorithm converges stably and the result is accurate. The comparison table of the convergence curves and the calculation results of the two typical cross-section examples is given. The algorithm provides a simple and effective method for engineering designers to calculate the ultimate bearing capacity of normal section.