Structural Engineering and Mechanics

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Stability analysis of steel cable-stayed bridges

  • Tang, Chia-Chih (Department of Civil Engineering, Chinese Military Academy) ;
  • Shu, Hung-Shan (Department of Civil Engineering, Chinese Military Academy) ;
  • Wang, Yang-Cheng (Department of Civil Engineering, Chinese Military Academy)
  • Published : 2001.01.25
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Abstract

The objective of this study is to investigate the stability behavior of steel cable-stayed bridges by comparing the buckling loads obtained by means of finite element methods with eigen-solver. In recent days, cable-stayed bridges dramatically attract engineers' attention due to their structural characteristics and aesthetics. They require a number of design parameters and present a high degree of static indetermination, especially for long span bridges. Cable-stayed bridges exhibit several nonlinear behaviors concurrently under normal design loads due to the individual nonlinearity of substructures such as the pylons, stay cables, and bridge deck, and their interactions. The geometric nonlinearities arise mainly from large displacements of cables. Strong axial and lateral forces acting on the bridge deck and pylons cause structural nonlinear behaviors. The interaction is among the substructures. In this paper, a typical three-span steel cable-stayed bridge with a variety of design parameters has been investigated. The numerical results indicate that the design parameters such as the ratio of $L_1/L$ and $I_p/I_b$ are important for the structural behavior, where $L_1$ is the main span length, L is the total span length of the bridge, $I_p$ is the moment of inertia of the pylon, and $I_b$ is the moment of inertia of the bridge deck. When the ratio $I_p/I_b$ increases, the critical load decreases due to the lack of interaction among substructures. Cable arrangements and the height of pylon are another important factors for this type of bridge in buckling analysis. According to numerical results, the bridges supported by a pylon with harp-type cable arrangement have higher critical loads than the bridges supported by a pylon with fan-type cable arrangement. On contrary, the shape of the pylon does not significantly affect the critical load of this type of bridge. All numerical results have been non-dimensionalized and presented in both tabular and graphical forms.

Keywords

References

  1. Adeli, H. and Zhang, J. (1995), "Fully nonlinear analysis of composite girder cable-stayed bridges", Computers and Structures, 54(2), 267-277. https://doi.org/10.1016/0045-7949(94)00332-W
  2. Agrawal, T.P. (1997), "Cable-stayed bridges parametric study", Journal of Bridge Engineering, ASCE, 2(2), 61- 67. https://doi.org/10.1061/(ASCE)1084-0702(1997)2:2(61)
  3. Agrawal, T.P. (1998), "Closure of cable-stayed bridges-parametric study", Journal of Bridge Engineering, ASCE, 3(3), 150-150. https://doi.org/10.1061/(ASCE)1084-0702(1998)3:3(150)
  4. ASCE (1988), "Bibliography and data on cable-stayed bridges", ASCE Committee on Long-Span Steel Bridges, J. Struct. Div., ASCE, 103(ST10), October.
  5. ASCE Committee on Cable-Stayed Bridges (1992), "Guidelines for the design of cable-stayed bridges", ASCE.
  6. Bathe, K.-J. (1982), "Finite element procedures in engineering analysis", Prentice-Hill, Inc.
  7. Capra, A. and Leveille, A. (1998), "Vasco da Gama Bridge, Portugal", Structural Engineering International, IABSE, 8(4), 261-262. https://doi.org/10.2749/101686698780488802
  8. Cluley, N.C. and Shepherd, R. (1996), "Analysis of concrete cable-stayed bridges for creep, shrinkage and relaxation effects", Computers & Structures, 58(2), 337-350. https://doi.org/10.1016/0045-7949(95)00131-Y
  9. Committee on General Structures Subcommittee on Bridge Aesthetics (1991), "Bridge aesthetics around the world", Transportation Research Board, National Research Council, Washington, D.C.
  10. Ermopoulos, J.CH., Vlahinos, A.S., and Wang, Yang-Cheng (1992), "Stability analysis of cable-stayed bridges", Computers & Structures, 44(5), 1083-1089. https://doi.org/10.1016/0045-7949(92)90331-S
  11. Freeman, R.A. (1994), "Innovative cable erection system for cable-stayed bridges", Proceedings of the Institution of Civil Engineers Structures and Buildings, 243-250.
  12. Gardner-Morse, M.G. and Huston, D.R. (1993), "Modal identification of cable-stayed pedestrian bridge", Journal of Structural Engineering, ASCE, 119(11), 3384-3404. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:11(3384)
  13. Hwa, C.-H. and Wang, Yang-Cheng (1996), "Three-dimensional modeling of a cable-stayed bridge for dynamic analysis", Proceedings of International Modal Analysis, National Science Council (Taiwan), II, 1565-1571.
  14. Ito, M. (1998), "Wind effects improve tower shape", Structural Engineering International, IABSE, 8(4), 256- 257. https://doi.org/10.2749/101686698780488695
  15. Leu, Y.-C. and Wang, Yang-Cheng (1996), "Stability analysis of cable-stayed bridges with cable safety", The Third Military Academy Symposium on Fundamental Science, Taiwan, 161-166.
  16. Modjeski and Masters (1983), "Structural drawings of quincy bayview bridge", Modjeski and Masters Consulting Engineers, Harrisburg, Pennsylvania.
  17. Oh, I.L. et al. (1998), "Fabrication of the box girder of Kao-Pin Hsi cable-stayed bridges", Proceedings of the 4th National Conference on Structural Engineering, National Science Council (Taiwan), 3/3, 1479-1486.
  18. Ren, W.-X. (1999), "Ultimate behavior of long-span cable-stayed bridges", Journal of Bridge Engineering, ASCE, 4(1), 30-37. https://doi.org/10.1061/(ASCE)1084-0702(1999)4:1(30)
  19. Ren, W.-X. and Obata, M. (1999), "Elastic-plastic seismic behavior of long span cable-stayed bridges", Journal of Bridge Engineering, ASCE, 4(3), 194-203. https://doi.org/10.1061/(ASCE)1084-0702(1999)4:3(194)
  20. Simoes, L.M.C. and Negrao, J.H.O. (1994), "Sizing and geometry optimization of cable-stayed bridges", Computers & Structures, 53(2), 309-321.
  21. Tang, M.-C. (1971), "Analysis of cable-stayed bridges girder bridges", Journal of the Structural Division, ASCE, 97(ST5), 1481-1496.
  22. Vlahinos, A.S. and Wang, Yang-Cheng (1994), "Nonlinear dynamic behavior of cable-stayed bridges", Proceedings of the 12th International Modal Analysis Conference, II, 1335-1341.
  23. Vlahinos, A.S., Ermopoulos, J. CH. and Wang, Yang-Cheng (1993), "Buckling analysis of steel arch bridges", Journal of Constructional Steel Research, 26, 59-71. https://doi.org/10.1016/0143-974X(93)90067-3
  24. Vlahinos, A.S. and Wang, Yang-Cheng (1993), "Effect of supporting conditions on the critical loads of cablestayed bridges", the Proceedings of the Twenty-Third Midwestern Mechanics Conference, University of Nebraska, 190-192.
  25. Wang, Yang-Cheng, Vlahinos, A.S. and Shu, H.-S. (1997), "Optimization of cable preloading on cable-stayed bridges", Proceedings of the International Society for Optical Engineering, 248-259.
  26. Wang, Yang-Cheng and Ermopoulos, J. (1997), "Optimum design of cable-stayed bridges using 3D buckling analysis", Proceedings of the International Colloquium on Computation of Shell and Spatial Structures, 289- 294.
  27. Wang, Yang-Cheng, Chen, P.L. and Shu, H.-S. (1998), "Three-dimensional modeling of Kao-Pin Shi cablestayed bridge for dynamic analysis", Proceedings of the 4th National Conference on Structural Engineering, National Science Council (Taiwan), 3/3, 1583-1589.
  28. Wang, Yang-Cheng (1999a), "Characteristics of cable stiffness on a cable-stayed bridge", Structural Engineering and Mechanics, 8(1), 27-38. https://doi.org/10.12989/sem.1999.8.1.027
  29. Wang, Yang-Cheng (1999b), "Kao-Pin Hsi cable-stayed bridge, Taiwan", Structural Engineering International, IABSE, 9(2), 94-95. https://doi.org/10.2749/101686699780621172
  30. Wang, Yang-Cheng (1999c), "Number of cable effects on buckling analysis of cable-stayed bridges", Journal of Bridge Engineering, ASCE, 4(4), 242-248. https://doi.org/10.1061/(ASCE)1084-0702(1999)4:4(242)
  31. Walton, J.M. (1996), "Developments in steel cables", Journal of Constructional Steel Research, 39(1), 3-29. https://doi.org/10.1016/0143-974X(96)00027-2
  32. Wilson, J.C. and Gravelle W. (1991), "Modelling of a cable-stayed bridge for dynamic analysis", Earthquake Engineering and Structural Dynamics, 20, 707-721. https://doi.org/10.1002/eqe.4290200802
  33. Xanthakos, P.P. (1994), Theory and Design of Bridges, John Wiley & Sons, Inc. New York, N.Y.
  34. Xi, Y. and Kuang, J.S. (1999), "Ultimate load capacity of cable-stayed bridges", Journal of Bridge Engineering, ASCE, 4(1), 14-22. https://doi.org/10.1061/(ASCE)1084-0702(1999)4:1(14)
  35. Yang, F. and Fonder, G.A. (1998), "Dynamic response of cable-stayed bridges under moving loads", Journal of Engineering Mechanics, ASCE, 124(7), 741-747. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:7(741)

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