Abstract The current primary numerical methods for ultimate bearing capacity of concrete-filled steel tube (CFST) arches are of nonlinear iterative procedures, which are time consuming and inaccurate. In order to overcome this problem, a linear elastic iteration technique was introduced for plastic limit analysis of the CFST arches with small or medium nominal slenderness ratio in this paper. Firstly, generalized yield functions were derived from the interaction equation of circular CFST members. Then, homogeneous generalized yield functions (HGYF) with appropriate order powers were developed by means of regression analysis. Furthermore, a reference element bearing ratio was presented as a dynamic threshold to distinguish the highly-stressed elements in CFST arches on basis of the HGYFs, while an adaptive strategy of elastic modulus adjustment is presented for linear elastic iterative analysis of the ultimate bearing capacity of CFST arches with small or medium nominal slenderness ratio. Test data for ultimate strength of 100 CFST members and arches were adopted in examples to demonstrate the accuracy and efficiency of the proposed HGYF and the linear elastic iteration method. It was also verified that the proposed method can be successfully applied to common single-circular-tube CFST arches under consideration of buckling effect in engineering practice.

中文翻译：

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圆钢管混凝土拱极限承载力线弹性迭代法

摘要 目前主要的钢管混凝土（CFST）拱极限承载力数值方法是非线性迭代程序，耗时且不准确。为了克服这个问题，本文引入了一种线弹性迭代技术对具有中小公称长细比的CFST拱门进行塑性极限分析。首先，从圆形CFST构件的相互作用方程中导出广义屈服函数。然后，通过回归分析开发了具有适当阶次幂的齐次广义屈服函数（HGYF）。此外，参考元素承载比被提出作为动态阈值，以根据 HGYFs 区分 CFST 拱中的高应力元素，同时提出了弹性模量调整的自适应策略，用于中小公称长细比的钢管混凝土拱的极限承载力的线弹性迭代分析。实例中采用了 100 个 CFST 构件和拱的极限强度测试数据，以证明所提出的 HGYF 和线弹性迭代方法的准确性和效率。工程实践中也验证了该方法可成功应用于考虑屈曲效应的常见单圆管CFST拱。实例中采用了 100 个 CFST 构件和拱的极限强度测试数据，以证明所提出的 HGYF 和线弹性迭代方法的准确性和效率。工程实践中也验证了该方法可成功应用于考虑屈曲效应的常见单圆管CFST拱。实例中采用了 100 个 CFST 构件和拱的极限强度测试数据，以证明所提出的 HGYF 和线弹性迭代方法的准确性和效率。工程实践中也验证了该方法可成功应用于考虑屈曲效应的常见单圆管CFST拱。