Optimization of Cable Tensioning in Cable-Stayed Bridges
Publication: Journal of Bridge Engineering
Volume 8, Issue 3
Abstract
During the structural analysis of cable-stayed bridges, some specific problems arise that are not common in other types of bridges. One of these problem is the derivation of an optimal sequence for the tensioning of the stay cables. This paper describes a novel solution to this problem, the unit force method. The method takes into account all relevant effects for the design of cable-stayed bridges, including construction sequence, second-order theory, large displacements, cable sag and time-dependent effects, such as creep and shrinkage or relaxation of prestressing tendons. Information about the implementation of this method into a computer program is given, and an example of a practical application of this method concludes this paper. The method is not restricted to the design of cable-stayed bridges and may well be used for other structural applications in the future.
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References
Agrawal, T. P.(1997). “Cable-stayed bridges—Parametric study.” J. Bridge Eng., 2(2), 61–67.
Behin, Z., and Murray, D. W.(1992). “A substructure-frontal technique for cantilever erection analysis of cable-stayed bridges.” Comput. Struct., 42(2), 145–157.
Bruer, A., Pircher, H., and Bokan, H. (1999). “Computer based optimising of the tensioning of cable-stayed bridges.” Proc., IABSE Conference, International Association for Bridge and Structural Engineering, Zürich, Switzerland.
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.” Comput. Struct., 74, 1–9.
Combault, J. (1991). “Long span concrete bridges: Influence of construction techniques.” Proc., IABSE Symposium, International Association for Bridge and Structural Engineering, Zürich, Switzerland.
Cruz, P. J. S., Mari, A. R., and Roca, P.(1998). “Nonlinear time-dependent analysis of segmentally constructed structures.” J. Struct. Eng., 124(3), 278–287.
Dischinger, F.(1949). “Hängebrücken für schwerste Verkehrslasten.” Bauingenieur, 24, 65–113 (in German).
Faller, P., Hansvold, C., Nilson, H., and Svahn, P. O. (1999). “Erection of the Udevalla Bridge.” Proc., IABSE Conference, International Association for Bridge and Structural Engineering, Zürich, Switzerland.
Gimsing, N. J. (1997). Cable supported bridges, 2nd Ed., Wiley West Sussex, U.K.
Gimsing, N. J. (1999). “History of cable-stayed bridges.” Proc., IABSE Conference, International Association for Bridge and Structural Engineering, Zürich, Switzerland.
Hansvold, C. (1998). “Sunningesund cable-stayed bridge.” Proc., IABSE Symposium, International Association for Bridge and Structural Engineering, Zürich, Switzerland.
Kanok-Nukulchai, W., Yiu, P. K. A., and Brotton, D. M.(1992). “Mathematical modelling of cable-stayed bridges.” Struct. Eng. Int. (IABSE,Zurich,Switzerland), 2(2), 108–113.
Krishna, P., Arya, A. S., and Agrawal, T. P.(1985). “Effect of cable stiffness on cable-stayed bridges.” J. Struct. Eng., 111(9), 2008–2020.
Lazar, B. E., Troitsky, M. S., and McDouglass, M. C.(1972). “Load balancing analysis of cable-stayed bridges.” J. Struct. Div. ASCE, 98(8), 1725–1740.
Leonhardt, F., and Zellner, W.(1972). “Comparative investigations between suspension bridges and cable-stayed bridges for spans exceeding 600m.” IABSE-Publications, International Association for Bridge and Structural Engineering, Zürich, Switzerland, 32(1), 127–165.
Leonhardt, F., and Zellner, W. (1991). “Past, present and future of cable-stayed bridges.” Proc., Cable Stayed Bridges, Elsevier Science, New York.
Lin, T. Y., and Chow, P.(1991). “Gibraltar Strait crossing—A challenge to bridge and structural engineers.” Struct. Eng. Int. (IABSE,Zurich,Switzerland), 1(2).
Negrao, J. H. O., and Simoes, L. M. C.(1997). “Optimization of cable-stayed bridges with three-dimensional modelling.” Comput. Struct., 64, 741–758.
Peterson, C. (1970). Abgespannte Maste und Schornsteine Statik und Dynamik, Ernst & Sohn, Berlin.
Pircher, H. (1994). “Finite differences to simulate creep and shrinkage in pre-stressed concrete and composite structures.” Proc., Int. Conf. on Computation Modelling of Concrete Structures, H. Mang, N. Bicanic, and R. De Borst, eds., Pineridge, Swansea, UK.
Pircher, H. (2001). “Die computerunterstützte Berechnung fuer eine grosse Schrägseilbrücke (Udevalla Bruecke) in Schweden.” Festschrift zum 60. Geburtstag von Professor Greiner, Technical Univ. Graz, Austria (in German).
Protte, W., and Tross, W.(1966). “Simulation als Vorgehensweise bei der Berechnung von Schraegseilbruecken.” Stahlbau, 35(7), 208–211.
Reddy, P., Ghaboussi, J., and Hawkins, N. M.(1999). “Nonlinear Analysis and simulation of construction of cable-stayed bridges.” J. Bridge Eng., 4(4), 249–257.
Simoes, L. M. C., and Negrao, J. H. J. O.(2000). “Optimization of cable-stayed bridges with box-girder decks.” Adv. Eng. Software, 31, 417–423.
Starossek, U.(1996). “Cable-stayed bridge concept for longer spans.” J. Bridge Eng., 1(3), 99–103.
TDV GesmbH. (2001). RM200—technical description, Graz, Austria.
Thul, H.(1971). “Die Friedrich-Ebert-Bruecke ueber den Rhein in Bonn.” Bauingenieur, 46.
Troitsky, M. S. (1988). Cable-stayed bridges, 2nd Ed., BSP Professional Books, Oxford, U.K.
Virlogeux, M.(2001). “Bridges with multiple cable-stayed spans.” Struct. Eng. Int. (IABSE,Zurich,Switzerland), 11(1), 61–82.
Wang, P. H., Tseng, T. C., and Yang, C. G.(1993). “Initial shape of cable-stayed bridges.” Comput. Struct., 46(6), 1095–1106.
Zienkiewicz, O. C., and Taylor, R. L. (1991). The finite element method, 4th Ed., McGraw-Hill, London.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Nov 26, 2001
Accepted: May 30, 2002
Published online: Apr 15, 2003
Published in print: May 2003
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