为了高效地得到平行钢绞线斜拉索施工过程中各股钢绞线的控制张力的高精度解，研究了描述斜拉索静力状态的参数间的非线性关系，提出了各股钢绞线控制张力的高精度、无迭代求解方法。基于斜拉索悬链线索形精确解，采用泰勒展开求解了张拉完成时斜拉索无应力索长的高精度近似解；基于正装分析法和等值张拉法两个基本原则，推导了在平行钢绞线斜拉索施工过程中，张拉不同钢绞线时斜拉索的等效静力状态；通过对无应力索长、斜拉索等效截面积和斜拉索投影长度的近似处理，求解了各股钢绞线的控制张力的高精度解。以珠海市洪鹤大桥主桥（主跨500 m的叠合梁斜拉桥）、珠海市鸡啼门大桥（主跨210 m的预应力混凝土斜拉桥）及两篇文献中的斜拉索为算例，计算了本文方法的近似解与迭代求解的悬链线精确解之间的误差。结果表明：本研究提出的方法计算的斜拉索无应力索长与悬链线精确解的误差小于0.002%，各股钢绞线张拉力误差小于2%，完全满足现场施工的精度要求；本文方法精度高、计算代价小，具有极高的推广和应用价值。

In order to obtain the high-accuracy solution for control tension of each strand of stay-cables during construction, this paper studied the nonlinear relationships among the parameters describing the static state of cables and proposed a high-accuracy and non-iteration solving method for control tension of each steel strand. Based on the exact solution of the catenary of the cable shape, the high-precision and approximate solution of the stress-free length of the cable was solved by the Taylor expansion method. Based on the two basic principles of forward assembly analysis and equivalent tensioning method, the equivalent static state of steel strands during the construction process was obtained by recursive calculation when different steel strands were tensioned. The high-precision solution for the control tension of each steel strand was solved by approximating the unstressed cable length, the equivalent cross-sectional area and the projected length of the diagonal cable.Taking the stay-cables of the main bridge of the Honghe Bridge (a composite girder cable-stayed bridge with a main span of 500 meters) in Zhuhai city, the Jitimen Bridge (a prestressed concrete cable-stayed bridge with a main span of 210 meters) in Zhuhai city and cables mentioned in two literatures as examples, the error between the approximate solution of the method in this study and the exact solution of the catenary of iterative solution was calculated. The results show that the calculated error of the stress-free cable length between the method proposed in this paper and the catenary solution is less than 0.002%, and the tension error of each strand is less than 2%, which fully meet the accuracy requirements of construction. The method presented in this paper has the advantages of high precision and low calculation cost, so it has a high value of popularization and application.