Analytical Nonlinear Rollover Behavior of Cambered Precast Concrete Beams on Flexible Supports
Publication: Journal of Structural Engineering
Volume 146, Issue 2
Abstract
Precast prestressed concrete beams present camber after prestressing and early-age imperfections like initial sweep and rotations. Because there have been many reported cases of collapse with this type of element when supported only by bearing pads and during transport, its nonlinear behavior must be understood for a possible improvement in safety during handling and erection. From this observation, it should be pointed out that there have been no analytical studies on the nonlinear response of the problems. Also, no analytical solution accounts for the initial rotation of the elements on stability analysis. Thus, the purpose of the present research is to present nonlinear solutions for prestressed concrete beams resting on elastomeric bearing pads as well as truck and trailer during transport while considering initial imperfections and camber. The equations are obtained by using the Rayleigh-Ritz variational method. From the results, the nonlinear study demonstrates that the problem is highly sensitive to initial imperfections due to the unstable trajectory after peak load. The most critical imperfection for rollover of beams is the initial rotation, compared with initial camber and initial sweep. However, all misalignments influenced the maximum load. Furthermore, the proposed formulation can determine the nonlinear rollover behavior combining all these factors.
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Acknowledgments
This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES) under Finance Code 001. Also, the first author would like to thank the scholarship provided by CAPES with Identification Code 1804751.
References
Bairán, J. M., and A. Cladera. 2014. “Collapse of a precast concrete beam for a light roof: Importance of elastomeric bearing pads in the element’s stability.” Eng. Fail. Anal. 39 (Apr): 188–199. https://doi.org/10.1016/j.engfailanal.2014.02.001.
Bažant, Z. P., and L. Cedolin. 1991. Stability of structures: Elastic, inelastic, fracture, and damage theories. Singapore: Courier.
Burgoyne, C. J., and T. J. Stratford. 2001. “Lateral instability of long-span prestressed concrete beams on flexible bearings.” Struct. Eng. 79 (6): 23–26.
Cojocaru, R. 2012. Lifting analysis of precast prestressed concrete beams. Blacksburg, VA: Virginia Polytechnic Institute and State Univ.
Collins, M. P., and D. Mitchell. 1987. Prestressed concrete basics. Ottawa: Canadian Prestressed Concrete Institute.
Consolazio, G. R., and H. R. Hamilton. 2012. Experimental validation of bracing recommendations for long-span concrete girders. Tallahassee, FL: Florida Dept. of Transportation.
Dym, C. L. 2002. Stability theory and its applications to structural mechanics. New York: Dover.
fib (International Federation for Structural Concrete). 2010. fib model code for concrete structures. Berlin: fib.
Hurff, J. B. 2010. Stability of precast prestressed concrete bridge girders considering imperfections and thermal effects. Atlanta: Georgia Institute of Technology.
Hurff, J. B., and L. F. Kahn. 2011. “Lateral-torsional buckling of structural concrete beams: Experimental and analytical study.” J. Struct. Eng. 138 (9): 1138–1148. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000542.
Hurff, J. B., and L. F. Kahn. 2012. “Rollover stability of precast, prestressed concrete bridge girders with flexible bearings.” PCI J. 57 (4): 96–107. https://doi.org/10.15554/pcij.09012012.96.107.
Krahl, P. A. 2014. Lateral instability of precast concrete beams in transitory situations. [In Portuguese.] São Paulo, Brazil: School of Engineering of São Carlos, Univ. of São Paulo.
Krahl, P. A. 2018. Lateral stability of ultra-high performance fiber-reinforced concrete beams with emphasis in transitory phase. São Paulo, Brazil: School of Engineering of São Carlos, Univ. of São Paulo.
Krahl, P. A., R. Carrazedo, and M. K. El Debs. 2018. “Analytical solutions for rollover instability of concrete beams on elastomeric bearing pads.” Eng. Struct. 174 (Nov): 154–164. https://doi.org/10.1016/j.engstruct.2018.07.041.
Krahl, P. A., D. de Oliveira Martins, R. Carrazedo, I. da Silva, and M. K. El Debs. 2019. “Experimental and analytical studies on the lateral instability of UHPFRC beams lifted by cables.” Compos. Struct. 209 (Feb): 652–667. https://doi.org/10.1016/j.compstruct.2018.11.002.
Lee, J. 2017. “Evaluation of the lateral stability of precast beams on an elastic bearing support with a consideration of the initial sweep.” Eng. Struct. 143 (Jul): 101–112. https://doi.org/10.1016/j.engstruct.2017.04.006.
Lima, M. C. V., and M. K. El Debs. 2005. “Numerical and experimental analysis of lateral stability in precast concrete beams.” Mag. Concr. Res. 57 (10): 635–647. https://doi.org/10.1680/macr.2005.57.10.635.
Mandal, P., and C. R. Calladine. 2002. “Lateral-torsional buckling of beams and the Southwell plot.” Int. J. Mech. Sci. 44 (12): 2557–2571. https://doi.org/10.1016/S0020-7403(02)00192-3.
Mast, R. F. 1989. “Lateral stability of long prestressed concrete beams—Part 1.” PCI J. 34 (1): 34–53.
Mast, R. F. 1993. “Lateral stability of long prestressed concrete beams—Part 2.” PCI J. 39 (4): 54–62. https://doi.org/10.15554/pcij.01011993.70.88.
Mast, R. F. 1994. “Lateral bending test to destruction of a 149 ft prestressed concrete I-beam.” PCI J. 39 (4): 54–62. https://doi.org/10.15554/pcij.07011994.54.62.
Oesterle, R. G., M. J. Sheehan, H. R. Lotfi, W. G. Corley, and J. J. Roller. 2007. Investigation of Red Mountain Freeway bridge girder collapse. Phoenix, AZ: Arizona Dept. of Transportation.
Peart, W. L., E. J. Rhomberg, and R. W. James. 1992. “Buckling of suspended cambered girders.” J. Struct. Eng. 118 (2): 505–528. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:2(505).
Plaut, R. H., and C. D. Moen. 2014. “Stability of unbraced concrete beams on bearing pads including wind loading.” Eng. Struct. 69 (Jun): 246–254. https://doi.org/10.1016/j.engstruct.2014.03.024.
Reis, A., and D. Camotim. 2012. Estabilidade e dimensionamento de estruturas. Alfragide, Portugal: Orion.
Southwell, R. V. 1932. “On the analysis of experimental observations in problems of elastic stability.” Proc. R. Soc. London 135 (828): 601–616. https://doi.org/10.1098/rspa.1932.0055.
Stratford, T. J., and C. J. Burgoyne. 2000. “Toppling of hanging beams.” Int. J. Solids Struct. 37 (26): 3569–3589. https://doi.org/10.1016/S0020-7683(99)00059-1.
Swann, R. A., and W. G. Godden. 1966. “The lateral buckling of concrete beams lifted by cables.” Struct. Eng. 44 (1): 21–33.
Timoshenko, S., and J. Gere. 1988. Theory of elastic stability. New York: McGraw-Hill.
Trahair, N. S. 2017. Flexural-torsional buckling of structures. London: Routledge.
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Published In
Journal of Structural Engineering
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Nov 1, 2018
Accepted: Jun 10, 2019
Published online: Dec 7, 2019
Published in print: Feb 1, 2020
Discussion open until: May 7, 2020
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