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（北京市建筑設(shè)計(jì)研究院有限公司， 北京 100045）

 ［摘要］圓形截面混凝土柱在實(shí)際工程中應(yīng)用廣泛，其偏心受壓正截面承載力計(jì)算是一個(gè)常見(jiàn)問(wèn)題?！痘炷两Y(jié)構(gòu)設(shè)計(jì)規(guī)范》（GB 50010—2010）附錄E.0.4給出了相關(guān)控制方程組，該方程組屬于超越方程，不能采用通常的直接解法進(jìn)行計(jì)算，必須進(jìn)行近似處理或者借助于數(shù)值解法。本文不對(duì)該方程進(jìn)行任何簡(jiǎn)化，而是直接采用迭代法進(jìn)行求解，并證明了在每次迭代過(guò)程中控制方程有且僅有一個(gè)解，可保證計(jì)算穩(wěn)定可靠。算例表明，該算法具有很好的適應(yīng)能力，可快速收斂到指定精度。目前，該算法已在北京市建筑設(shè)計(jì)研究院有限公司自主研發(fā)的設(shè)計(jì)軟件Paco中完整實(shí)現(xiàn)，取得了良好的應(yīng)用效果。

［關(guān)鍵詞］圓形截面柱； 偏心受壓； 牛頓法

中圖分類號(hào)： TU375 文獻(xiàn)標(biāo)識(shí)碼： A文章編號(hào)：  1002-848X(2016)S2-0435-04

An algorithm study on circular section column under eccentric compression

Wu Yunpeng, Zeng Qiang, Miao Qisong

（Beijing Institute of Architectural Design, Beijing 100045, China）

Abstract: Circular section concrete columns are widely used in the actual project, whose eccentric compression capacity is a common problem. Code for design of concrete structures （GB 50010—2010） appendix E.0.4 gives the relevant control equations, which are transcendental equations. Generally the direct method can′t be used, and it must be approximated by means of numerical solution. This paper does not make any simplification of the equations, but solves it directly by iteration, and proves that the equations have one and only one solution to ensure stable and reliable computing. Numerical examples show that the iterative algorithm has a good ability to adapt and quickly converge to the exact solution. At present, the algorithm has complete implementation in Beijing Institute of Architectural Design self-developed design software Paco and achieved good effect.

Keywords: circular section column; eccentric compression; Newton method

作者簡(jiǎn)介： 武云鵬，博士，高級(jí)工程師，Email：wuyunpeng@biad.com.cn。