Analysis of Continuous Prestressed Concrete Beams


Chris Burgoyne
Department of Engineering, University of Cambridge, Cambridge, UK

The effective use of prestressed concrete relies on an appropriate combination of structural analysis techniques with knowledge of the material behaviour. Design of prestressed concrete structures is usually left to specialists; the unwary will either make mistakes or spend inordinate time trying to extract a solution from the various equations.

There are a number of fundamental differences between the behaviour of prestressed concrete and that of other materials. Structures are not unstressed when unloaded; the design space of feasible solutions is totally bounded; in hyperstatic structures, various states of self-stress can be induced by altering the cable profile, and all of these factors get influenced by creep and thermal effects.


References

Guyon, Y. (1951b). A theoretical treatment of continuity in prestressed concrete. In R. P. Andrew and P. Witt (Eds.), Prestressed Concrete Statically Indeterminate Structures, pp. 131-145. Cement and Concrete Association.
Guyon, Y. (1951a). Béton Précontraint. Paris: Editions Eyrolles. Translated as Prestressed Concrete by Harris A.J. (et al): published London, Contractors Record and Municipal Engineering, 1953.
Hambly, E. C. (1991). Bridge deck behaviour (2 ed.). London: E & FN Spon. Harris, A. J. (1986). Luzancy Bridge after 41 years. Concrete Quarterly 149/June, 6-7.
Leonhardt, F. (1964). Prestressed Concrete: Design and Construction. Berlin: Ernst & Sohn.
La Grange, L. E. (1961). Moment redistribution in prestressed concrete beams and frames. Ph. D. thesis, University of Cambridge.
Lin, T. Y. (1963). Load balancing method for design and analysis of prestressed concrete structures. Journ. American Concrete Inst. 60/6, 719-742.
Magnel, G. (1951). Continuity in prestressed concrete. In R. P. Andrew and P. Witt (Eds.), Prestressed Concrete Statically Indeterminate Structures, pp. 77-86. Cement and Concrete Association.
Low, A. M. (1982). The preliminary design of prestressed concrete viaducts. Proc. Inst. Civil Engineers 73, 351-364.
Mattock, A. H., J. Yamazaki, and B. T. Kattula (1971). Comparative study of prestressed concrete beams, with and without bond. ACI Journal 68, 116-125.
Mattock, A. H. (1983). Secondary moments and moment redistribution in ACI 318-77 Code. In M. Z. Cohn (Ed.), Int. Symp. Nonlinearity and Continuity in Prestressed Concrete, Volume 3, pp. 27-48. University of Waterloo, Ontario, Canada.
SchÄonberg, M. and F. Fichter (Feb 1939). Die Adolf-Hitler-BrÄucke in Aue (Sa) (The Adolf Hitler Bridge at Aue (Saxony)). Die Bautechnik.
Abeles, P. W. (1964). An introduction to prestressed concrete. London: Concrete Publications.
Xu, Q. and C. Burgoyne (2005). Effect of temperature and construction sequence on creep of concrete bridges. Proc. Inst. Civil Engineers, Bridge Engineering (in Press).
Andrew, R. P. and P. Witt (Eds.) (1951). Prestressed Concrete Statically Indeterminate Structures. Cement and Concrete Association.
Burgoyne, C. J. (1988). Cable design for continuous prestressed concrete bridges. Proc. Inst. Civil Engineers 85, 161-184.
Bazant, Z. P. and F. H. Wittmann (1982). Creep and shrinkage in concrete structures. John Wiley.
Cusack, P. (1984). François Hennebique: the specialist organisation and the success of ferro-concrete: 1892-1909. Trans. Newcomen Soc. 56, 71-86.
Emerson, M. (1973). The calculation of the distribution of temperature in bridges. Technical report, Transport and Road Research Laboratory. LR561.
Dischinger (1936). German patent no. 535,440.
Emperger, X. X. (1939). Stahlbeton mit vorgespannten Zulagen aus hÄoherwertigem Stahl (Reinforced concrete with additional high strength steel). Berlin: Ernst & Sohn.
Finsterwalder, U. (Sept 1939). EisenbetontrÄager mit selbsttÄatiger vorspannung (reinforced concrete beams with self-acting prestressing). Der Bauinginieur.
England, G. L., Y. F. Cheng, and K. R. F. Andrews (1984). A temperature-creep theory for prestressed concrete continuum beam structures. Journ. Thermal Stresses 7, 361-381.
Freyssinet, E. (1956). Birth of prestressing. Library translation 59, Cement and Concrete Association. Translated from French. Published by Travaux, July-August 1954.
Glanville, W. H. (1933). Creep of concrete under load. The Structural Engineer 11/2, 54-73.
Glanville, W. H. (1930). Studies in reinforced concrete - III: The creep or flow of concrete under load. Building Research Technical Paper 12, Dept of Scientific and Industrial Research, London. 39 pp.
Grote, J. and B. Marrey (2000). Freyssinet, Prestressing and Europe 1930-1945. Paris: Éditions du Linteau.


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