Reliability analysis for lateral stability of tongwamen bridge

  • Pan, Sheng-Shan (Institute of Bridge Engineering, Dalian University of Technology) ;
  • Lei, Shi (Institute of Bridge Engineering, Dalian University of Technology) ;
  • Tan, Yong-Gang (Institute of Bridge Engineering, Dalian University of Technology) ;
  • Zhang, Zhe (Institute of Bridge Engineering, Dalian University of Technology)
  • Received : 2010.05.04
  • Accepted : 2011.06.22
  • Published : 2011.09.25


Tongwamen Bridge is a critical link between Dongmen Island and the land in Shipu town, Zhejiang province, China. It is a 238 m span, half-through, concrete-filled steel tubular (CFST) X-type arch bridge. The width of the deck is only 10 m, yielding a width-to-span ratio of 1/23.8. The plane truss type section rib was adopted, which made of two CFST chords and web member system. The lateral stability is the key issue to this bridge. However, the existing researches on Tongwamen Bridge's lateral stability are all the deterministic structural analysis. In this paper, a new strategy for positioning sampling points of the response surface method (RSM), based on the composite method combining RSM with geometric method for structural reliability analysis, is employed to obtain the reliability index of lateral stability. In addition the correlated parameters were discussed in detail to find the major factors. According to the analysis results, increasing the stiff of lateral braces between the arch ribs and setting the proper inward-incline degree of the arch rib can enhance obviously the reliability of lateral stability. Moreover, the deck action of non-orienting force is less than the two factors above. The calculated results indicate that the arch ribs are safe enough to keep excellent stability, and it provides the foundation that the plane truss rib would be a competitive solution for a long-span, narrow, CFST arch bridge.


CFST bridge;stability;reliability;response surface method (RSM), analysis


  1. Zhang Z, Pan S S and Huang C L. (2004), "The design and construction of Tongwamen bridge," bridge. Eng. 157(1-7), 1-7.
  2. Fan L C. (1986), "Bridge engineering," Beijing: China Communication Press, (In Chinese)
  3. Li G H. (1992), "Stability and vibration of bridge structure," Beijing: Chinese Railways Publishing House. (In Chinese)
  4. Zhang Z, Qiu W L and Huang C L. (2002), "Study of design and stability of Tongwamen bridge," J. Dalian. Univer. Techno. 42(4), 456-459. (In Chinese)
  5. Deng An T. (2003), "Analysis and research of Tongwamen bridge's stability[M. D. dissertation]," Dalian: Dalian Univer. Techno. (In Chinese)
  6. Xu F Y, Zhang J R, Hao H X. (2004), "Reliability analysis of the arch rib stability of CFST bridge," J. Chang. Commu. Univer. 20(1), 6-10. (In Chinese)
  7. Lin D J. and QIN Quan. (2005), "Reliability stochastic finite element analysis of in-plane buckling of an existing arch bridge," Eng. Mech. 22(6), 122-126. (In Chinese)
  8. Zhang Zhe, Shi Lei, Pan Sheng-shan and Teng Qi-jie. (2005), "Long span concrete-filled steel tubular narrow arch bridge design," J. Highway and Transportation Research amd Development. 22(8), 49-53. (In Chinese)
  9. Zhang J R, Liu Y and Xu F Y, et al. (2003), "Theory and application of structure reliability in bridge engineering," Beijing: China Communication Press. (In Chinese)
  10. Zhao G F, Jin W L and Gong J X. (2000), "Theory of structural reliability," Beijing: China Architecture and Building Press. (In Chinese)
  11. P.K. Dasm and Y. Zheng. (2000), "Cumulative formation of response surface and its use in reliability analysis," Probabilistic. Eng. Mech.. 15, 309- 315.
  12. Li S Y and Zhang Z. (2007), "An new method for selecting sampling points in response surface method for structural reliability analysis," Chinese Journal of Computational Mechanics. To Appear. (In Chinese)
  13. Li Y H, Bao W G and Guo X W et. al. (1997), "Structural reliabilty and probability limit state design of highway bridge," Beijing: China Communication Press. (In Chinese)
  14. Pan S S. (2004), "Lateral stability study of concrete-filled steel tubbular narrow arch bridge [Ph.D. dissertation]," Dalian: Dalian Univercity of Technology. (In Chinese)

Cited by

  1. Spatial mechanical behaviors of long-span V-shape rigid frame composite arch bridges vol.47, pp.1, 2013,