Abstract
This paper presents an investigation of the structural stability of cable-stayed bridges based on nonlinear analysis. In general, girders and masts of cable-stayed bridges are always subjected to compressive forces due to pre-tensioned stay cables. Cable-stayed bridges exhibit various geometric nonlinearities, such as the cable-sag effect, beam-column effect of girders and masts, and large displacement effect. In this study, the characteristics of the structural stability of cable-stayed bridges are investigated. Because of various geometric nonlinearities, nonlinear finite element analysis should be performed for stability analysis instead of conventional eigenvalue analysis. Furthermore, the initial shape analysis should be performed prior to live load analysis in order to consider the dead load condition rationally. A two-step analysis method, developed based on the theory of nonlinear finite element method, is presented in this study for stability analysis under live load cases. An intensive series of parametric studies is subsequently performed using three-span cable-stayed bridges. The main buckling modes are classified depending on the location of the critical members. Also, the effects of cable arrangement, girder-mast stiffness ratio, area, and the number of cables on the structural stability are extensively investigated.
Similar content being viewed by others
References
Adeli, H. and Zhang, J. (1994). “Fully nonlinear analysis of composite girder cable-stayed bridges.” Computers & Structures, 54(2), pp. 267–277.
Chen, D. W., Au, F. T. K., Tham, L. G., and Lee, P. K. K. (2000). “Determination of initial cable forces in prestressed concrete cable-stayed bridges for given design deck profiles using the force equilibrium method.” Computers & Structures, 74, pp. 1–9.
Cheng, J. and Xiao, R.C. (2004). “Probabilistic determination of initial cable forces of cable-stayed bridges under dead loads.” Structural Engineering and Mechanics, 17(2), pp. 267–279.
Crisfield, M. A. (1983). “An arc-length method including line searches and accelerations.” International Journal for Numerical Methods in Engineering, 19, pp. 1269–1289.
Ernst, H. J. (1965). “Der e-modul von seilen unter berucksichtigung des durchanges.” Der Bauingenieur, 40, pp. 52–55 (in German).
Fleming, J. F. (1965). “Nonlinear static analysis of cablestayed bridges.” Computers & Structures, 10, pp. 621–635.
Freire, A. M. S., Negrao, J. H. O., and Lopes, A.V. (2006). “Geometric nonlinearities on the static analysis of highly flexible steel cable-stayed bridges.” Computers & Structures, 84, pp. 2128–2140.
Gimsing, N. J. (1965). Cable supported bridges Concept & Design, 2nd Edition. John Wiley & Sons Ltd., New-York.
Kim, K. S. and Lee, H. S. (2001). “Analysis of target configurations under dead loads for cable-supported bridges.” Computers & Structures, 79, pp. 2681–2692.
Lim, N. H., Han, S. Y., Han, T. H., and Kang, Y. J. (2008). “Parametric study on stability of continuous welded rail track -ballast resistance and track irregularity-.” International Journal of Steel Structures, 8(3), pp. 171–181.
Reddy, P., Ghaboussi, J., and Hawkins, N. M. (1994). “Simulation of construction of cable-stayed bridges.” Journal of Bridge Engineering, ASCE, 4(4), pp. 249–257.
Ren, W. X. (1999). “Ultimate behavior of long-span cablestayed bridges.” Journal of Bridge Engineering, ASCE, 4(1), pp. 30–36.
Shu, H. S. and Wang, Y. C. (2001). “Stability analysis of box-girder cable-stayed bridges.” Journal of Bridge Engineering, ASCE, 6(1), pp. 63–68.
Song, M. K., Kim, S. H., and Choi, C. K. (2006). “Enhanced finite element modeling for geometric non-linear analysis of cable-supported structures.” Structural Engineering and Mechanics, 22(5), pp. 575–597.
Song, W. K. and Kim, S. E. (2007). “Analysis of the overall collapse mechanism of cable-stayed bridges with different cable layouts.” Engineering Structures, 29, pp. 2133–2142.
Tang, C. C., Shu, H. S., and Wang, Y. C. (2001). “Stability analysis of steel cable-stayed bridge.” Structural Engineering and Mechanics, 11(1), pp. 35–48.
Wang, P. H., Lin, H. T., and Tang, T. Y. (2002). “Study on nonlinear analysis of a highly redundant cable-stayed bridges.” Computers & Structures, 80, pp. 165–182.
Wang, P. H., Tseng, T. C., and Yang, C. G. (1993). “Initial shape of cable stayed bridge.” Computers & Structures, 47(1), pp. 111–123.
Wang, P. H. and Yang, C. G. (1993). “Parametric studies on cable stayed bridges.” Computers & Structures, 60(2), pp. 243–260.
Xi, Y. and Kuang, J. S. (1999). “Ultimate load capacity of cable-stayed bridges.” Journal of Bridge Engineering, ASCE, 4(10), pp. 14–22.
Yang, Y. B. and Kuo, S. R. (1994) Theory and analysis of nonlinear framed structures. Prentice-Hall, Inc., Singapore.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, S., Won, D.H., Lee, K. et al. Structural stability of cable-stayed bridges. Int J Steel Struct 15, 743–760 (2015). https://doi.org/10.1007/s13296-015-9019-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13296-015-9019-1