Numerical Analysis of Continuous Beams Prestressed with External Tendons
Publication: Journal of Bridge Engineering
Volume 14, Issue 2
Abstract
This paper presents a numerical model conceived to simulate the behavior up to collapse of continuous concrete beams prestressed with bonded or external tendons. Its most valuable feature is the ability to automatically determine the most suitable extent of each load increment according to the actual stiffness of all the segments that form the discretized beam. A crucial problem of nonlinear structural analysis is numerical evaluation of the rotation capacity of plastic hinges, especially when dealing with concrete beams prestressed with external tendons, which is a technology nowadays increasingly adopted in new continuous bridges and in the rehabilitation or strengthening of old or damaged structures. This problem is discussed in depth and a simple rule, which differs from those usually discussed in the scientific literature, is adopted to subdivide the beam into discrete elements. The effectiveness of the numerical model is tested by comparing its numerical output with the outcomes of 14 experimental tests. This comparison looks promising since the mean value of the error on load carrying capacity is only 0.1%, with a 2.4% standard deviation.
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References
American Concrete Institute (ACI). (1990). “External prestressing in bridges.” ACI SP-120, A. Naaman, and J. Breen, eds., Detroit.
Barnard, P. (1965). “The collapse of reinforced concrete beams.” ACI Special Publication, 12, ACI, Detroit, 501–520.
Bazant, Z. P., and Cedolin, L. (1980). “Fracture machanics of reinforced concrete.” J. Engrg. Mech. Div., 106(6), 1287–1306.
Bazant, Z. P., and Cedolin, L. (1991). “Paragraph 13.6.” Stability of structures, Oxford University Press, New York.
Brøndum-Nielsen, T. (1986). “Ultimate flexural capacity of fully prestressed, partially prestressed and nonprestressed concrete sections under symmetric bending.” ACI J., 83(1), 29–35.
Campbell, T. I., and Kodur, V. K. (1990). “Deformation controlled nonlinear analysis of prestressed concrete continuous beams.” PCI J., 35(5), 42–55.
Chakrabarti, P. R., Whang, T. P., Brown, W., Arsad, K. M., and Amezeua, E. (1994). “Unbonded post-tensioning tendons and partially prestressed beams.” ACI Struct. J., 91(5), 616–625.
Comité (CEB). (1995). “New developments in nonlinear analysis methods.” Bulletin d’information n° 229, Lausanne, Switzerland.
Commité Euro-Internatioinal du Btéon (CEB). (1978). “CEB design manual on buckling.” Bulletin d’information N. 123, The Construction Press, Lancaster, U.K.
Commité Euro-International du Béton (CEB). (1982). “CEB-FIP manual on bending and compression.” Bulletin d’information N. 141, fib, Lausanne, Switzerland.
Comité Euro-International du Béton-Féderation International du la Precontrainte (CEB-FIP). (1990). “Paragraphs 6.9.3 and 6.9.11.” CEB-FIP model code 1990, Bulletin d’information n° 203–204–205, Lausanne, Switzerland.
Comité Euro-International du Béton-Féderation International du la Precontrainte (CEB-FIP). (1998). “Ductility of reinforced concrete structures.” Bulletin d’information n° 242, Lausanne, Switzerland.
Du, G., and Tao, X. (1985). “Ultimate stress of unbonded tendons in partially prestressed concrete beams.” PCI J., 30(6), 72–90.
European Committee for Standardization (CEN). (2003). Eurocode 2: Design of concrete structures—Part 1-1: General rules and rules for buildings, prEN 1992–1-1, Bruxelles, Belgium.
Eligehausen, R., Fabritius, E., Li, L., and Zhao, R. (1993). “An analysis of rotation capacity tests,” CEB Bulletin d’Information N° 218, Lausanne, Switzerland, 251–273.
Harajli, M. H. (1993). “Strengthening of concrete beams by external prestressing.” PCI J., 38(6), 76–88.
Harajli, M. H., Khairallah, N., and Nassif, H. (1999). “Externally prestressed members: evaluation of second-order effects.” J. Struct. Eng., 125(10), 1151–1161.
Harajli, M. H., Mabsout, M. E., and Al-Hajj, J. A. (2002). “Response of externally post-tensioned continuous members.” ACI Struct. J., 99(5), 671–680.
Jerrett, C. V., Ahmad, S., and Scotti, G. (1996). “Behavior of prestressed concrete beams strengthened by external FRP post-tensioned tendons.” Proc. ACMBS Conf. 1996 (Advanced Composite Materials in Bridges and Structures), M. El Badry, ed., Montréal.
Livesley, R. K. (1964). Matrix methods of structural analysis, Pergamon, Oxford, U.K.
Miyamoto, A., Tei, K., Nakamura, H., and Bull, J. W. (2000). “Behavior of prestressed beam strengthened with external tendons.” J. Struct. Eng., 126(9), 1033–1044.
Moreton, A. (2001). “Performance of segmental and posttensioned bridges in Europe.” J. Bridge Eng., 6(6), 543–555.
Pisani, M. A. (1996a). “A numerical method to analyze compact cross-sections.” Comput. Struct., 59(6), 1063–1072.
Pisani, M. A. (1996b). “A numerical model for externally prestressed beams.” Struct. Eng. Mech., 4(2), 177–190.
Pisani, M. A. (1999). “Strengthening by means of external prestressing.” J. Bridge Eng., 4(2), 131–135.
Pisani, M. A. (2005). “Geometrical nonlinearity and length of external tendons.” J. Bridge Eng., 10(3), 302–311.
Pisani, M. A., and Nicoli, E. (1996). “Beams prestressed with unbonded tendons at ultimate.” Can. J. Civ. Eng., 23(6), 1220–1230.
Roberts-Wollmann, C. L., Kreger, M. E., Rogowsky, D. M., and Breen, J. E. (2005). “Stresses in external tendons at ultimate.” ACI Struct. J., 120(2), 206–213.
Rito, A., and Appleton, J. (2005). “Rehabilitation of the Figueira da Foz Bridge.” Struct. Eng. Int. (IABSE, Zurich, Switzerland), 15(2), 92–94.
Rotter, J. M. (1985). “Rapid exact inelastic biaxial bending analysis.” J. Struct. Eng., 111(12), 2659–2674.
Scholz, H. (1993). “Contribution to redistribution of moments in continuous reinforced concrete beams.” ACI Struct. J., 90(2), 150–155.
Sen, R., Issa, M., Sun, Z., and Shahawy, M. (1994). “Static response of fiberglass pretensioned beams.” J. Struct. Eng., 120(1), 252–268.
Taerwe, L., and Espion, B. (1989). “Serviceability and the nonlinear design of concrete structures.” IABSE Proc. P135/89, IABSE, Zürich, Switzerland.
Taerwe, L., De Pauw, P., and Thomas, P. (1996). “Influence of material and tendon characteristics on the structural behaviour of two-span post-tensioned concrete beams.” Proc., FIP Symp. on Post Tensioned Concrete Structures, London, 893–902.
Taerwe, L., De Pauw, P., and Thomas, P. (1999). “Behaviour of two span concrete beams prestressed with unbonded tendons.” Proc., FIP Symp. The Bridge between People, Prague, Czech Republic.
Virlogeux, M. (1983). “La précontrainte extérieure.” Ann. Inst. Tech. Bat. Trav. Publics, 219, 115–195.
Virlogeux, M. (1985). “Bilan de la politique d’innovation dans le domaine des ovrages d’art.” Travaux, March, 20–34.
Warner, R. F., and Yeo, M. F. (1986). Ductility requirements for partially prestressed concrete, NATO ASI Series E, Martinus Nijhoff P, Dordrecht, The Netherlands.
Wu, X. H., and Lu, X. (2003). “Tendon model for nonlinear analysis of externally prestressed concrete structures.” J. Struct. Eng., 129(1), 96–104.
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© 2009 ASCE.
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Received: Jul 10, 2007
Accepted: Jun 30, 2008
Published online: Mar 1, 2009
Published in print: Mar 2009
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