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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.

Keywords bridge engineering      self-anchored suspension bridges      special cables      shape-finding      calculation method     
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
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Yan HAN
Zhengqing CHEN
Shidong LUO
Shankui YANG
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
casezero-stress length of main cable /m
without considering saddle effect418.378
with considering saddle effect416.540
Tab.1  Zero-stress length of cable
positionX/mY/mZ/m
circle center-0.49482-1.73230-9.7518
left tangent point T1-5.12000-0.90000-4.5701
right tangent point T24.16000-1.47699-2.7410
Tab.2  Position of saddle at bridge completion stage
coordinates of tangent points between main cables and saddlepre-offsetting /m
X/mY/mZ/m
left tangent point T1-5.1380-0.90000-4.4083-0.118
right tangent point T24.0020-1.47428-2.7160
Tab.3  Position of saddle at completed cable stage
Fig.6  Node numbering of model
nodecompletedbridge stageX/mcompletedcable stageX/mcompletedbridge stageY/mcompletedcable stageY/mcompletedbridge stageZ/mcompletedcable stageZ/m
151-133-133.000-0.9-0.9-85.2-85.200
150-120-120.224-0.9-0.9-79.92-79.459
149-110-110.457-0.9–0.9-75.63-74.729
148-100-100.64-0.9-0.9-70.92-69.690
147-90-90.726-0.9-0.9-65.62-64.295
146-80-80.696-0.9-0.9-59.75-58.523
145-70-70.638-0.9-0.9-53.49-52.413
144-60-60.586-0.9-0.9-46.93-45.982
143-50-50.581-0.9-0.9-40.14-39.251
142-40-40.584-0.9-0.9-33.03-32.193
141-30-30.524-0.9-0.9-25.46-24.750
140-20-20.403-0.9-0.9-17.41-16.910
139-10-10.238-0.9-0.9-8.93-8.6769
890T1-5.138-0.9T1-0.9000T1-4.4083
T2 4.002T2-1.474T2 2.716
90109.9303-2.287-1.8842-6.5892-6.5572
912019.99-3.6179-2.5792-12.888-12.83
923030.051-4.8925-3.2742-18.898-18.801
934040.111-6.1105-3.969-24.619-24.473
945050.167-7.2715-4.6637-30.051-29.849
956060.219-8.3752-5.358-35.194-34.932
967070.265-9.4213-6.0518-40.049-39.724
978080.303-10.4093-6.745-44.617-44.23
989090.333-11.339-7.4378-48.896-48.452
99100100.36-12.209-8.1298-52.889-52.394
100110110.367-13.021-8.8212-56.595-56.058
101120120.374-13.772-9.512-60.014-59.448
102130130.361-14.462-10.202-63.146-62.566
103140140.348-15.092-10.8915-65.992-65.417
104150150.325-15.659-11.58-68.552-68.001
105160160.292-16.164-12.269-70.827-70.322
106170170.259-16.604-12.957-72.815-72.383
107180180.216-16.979-13.644-74.518-74.184
108190190.173-17.288-14.331-75.935-75.729
109200200.12-17.527-15.019-77.067-77.017
110210210.077-17.692-15.706-77.914-78.052
111243243.000-17.974-17.974-79.675-79.675
Tab.4  Main cable shapes at bridge completion stage and completed cable stage
1 Luo Xiheng, Xiao Rucheng, Xiang Haifan. Cable shape analysis of suspension bridge with spatial cables. Journal of Tongji University (Natural Science) , 2004, 32(10): 1349-1354 (in Chinese)
2 Tan Donglian. Decision method on reasonable design state of self-anchored suspension bridge. China Journal of Highway and Transport , 2005, 8(2): 51-55 (in Chinese)
3 Kim H K, Lee M J, Chang S P. Non-linear shape-finding analysis of a self-anchored suspension bridge. Engineering Structures , 2002, 4(12): 1547-1559
doi: 10.1016/S0141-0296(02)00097-4
4 Li Huaiguang, Zheng Kaifeng, Wen Shudong, Li J. Calculation method and application of shape-finding of self-anchored suspension bridge with spatial cables. In: Proceedings of the 17th Bridges Engineering in China . Chongqing: People Transportation Press, 2006,1060-1065 (in Chinese)
5 Kim H K, Lee M J, Chang S P. Determination of hanger installation procedure for a self-anchored suspension bridge. Engineering Structures , 2006, 28(7): 959-976
doi: 10.1016/j.engstruct.2005.10.019
6 Gil H, Choi Y. Cable erection test at pylon saddle for spatial suspention bridge. Journal of Bridge Engineering , 2001, 6(3): 183-188
doi: 10.1061/(ASCE)1084-0702(2001)6:3(183)
7 Wang Peng, Wu Xun. Analysis of cable shape of suspension bridge at cable finished stage. Structural Engineers , 2005, 21(6): 22-27 (in Chinese)
8 Li Xiaozhen, Qiang Shizhong. Geometric form analysis of suspension bridge free cable. Journal of Chongqing Jiaotong Institute , 1999, 18(3): 7-13 (in Chinese)
9 Yang Menggang, Chen Zhenqing. An analysis of construction stages simulation for self-anchored suspension bridges. Journal of Hunan University (Natural Science Edition) , 2006, 32(2): 26-30 (in Chinese)
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