# Frontiers of Structural and Civil Engineering

 Front Arch Civil Eng Chin    2009, Vol. 3 Issue (2) : 165-172     https://doi.org/10.1007/s11709-009-0021-6
 RESEARCH ARTICLE |
Calculation method on shape finding of self-anchored suspension bridge with spatial cables
Yan HAN1,2(), Zhengqing CHEN2(), Shidong LUO3, Shankui YANG4
1. School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha 410004, China; 2. Wind Engineering Research Center, Hunan University, Changsha 410082, China; 3. China Railway Siyuan Survey and Design Group Co., Ltd., Wuhan 430063, China; 4. China Railway Eryuan Engineering Group Co., Ltd., Chengdu 610031, China
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 Abstract Based on the spatial model, a reliable and accurate calculation method on the shape finding of self-anchored suspension bridge with spatial cables was studied in this paper. On the principle that the shape of the main cables between hangers is catenary, the iteration method of calculating the shapes of the spatial main cables under the load of hanger forces was deduced. The reasonable position of the saddle was determined according to the shape and the theoretical joint point of the main cables. The shapes of the main cables at completed cable stage were calculated based on the unchanging principle of the zero-stress lengths of the main cables. By using a numerical method combining with the finite element method, one self-anchored suspension bridge with spatial cables was analyzed. The zero-stress length of the main cables, the position of the saddle, and the pre-offsetting of the saddle of the self-anchored suspension bridge were given. The reasonable shapes of the main cables at bridge completion stage and completed cable stage were presented. The results show that the shape-finding calculation method is effective and reliable. Corresponding Authors: HAN Yan,Email:zqchen@hnu.cn; CHEN Zhengqing,Email:zqchen@hnu.cn Issue Date: 05 June 2009
 Cite this article: Yan HAN,Zhengqing CHEN,Shidong LUO, et al. Calculation method on shape finding of self-anchored suspension bridge with spatial cables[J]. Front Arch Civil Eng Chin, 2009, 3(2): 165-172. URL: http://journal.hep.com.cn/fsce/EN/10.1007/s11709-009-0021-6 http://journal.hep.com.cn/fsce/EN/Y2009/V3/I2/165
 Fig.1  Schematic drawing of single-span cable Fig.2  Geometric relationship between the three components of the hanger force and the coordinates of the main cable Fig.3  Calculation configuration of saddle. (a) Saddle plane; (b) angle Fig.4  Flow diagram of shape calculation at completed cable stage Fig.5  General configuration of bridge Tab.1  Zero-stress length of cable Tab.2  Position of saddle at bridge completion stage Tab.3  Position of saddle at completed cable stage Fig.6  Node numbering of model Tab.4  Main cable shapes at bridge completion stage and completed cable stage
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