Automated Finite-Element-Based Validation of Structures Designed by the Strut-and-Tie Method
Publication: Journal of Structural Engineering
Volume 136, Issue 2
Abstract
Several codes of practice now support the use of the strut-and-tie method (STM) for the design of complex regions in structural concrete. In this method, a load-resisting truss is idealized and designed to carry the applied forces through these regions to their supports. The method assumes that the load can be carried in the manner envisioned by the designer and that the nominal design strength is at least equal to the calculated capacity of the idealized plastic truss. These assumptions are not always valid, particularly for nonductile and complex structures, as revealed by experiments in which some of STM designed structures have exhibited poor performance at service load levels and/or not been able to support their calculated nominal design strength. Thus, there is clearly a need for a convenient and reliable means of assessing the likely performance of complex regions designed using the STM. This paper presents an integrated STM design and computational framework that was developed to overcome the barriers to efficient design by the STM and effective design validation by nonlinear finite-element analysis.
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Acknowledgments
This project was made possible with support from the UNSPECIFIEDKorean Science and Engineering Foundation, a CAREER Award from the National Science Foundation, and the Department of Civil and Environmental Engineering at the University of Illinois at Urbana-Champaign.
References
AASHTO. (2007). AASHTO LRFD bridge design specifications, 4th Ed., AASHTO, Washington, D.C.
ACI. (2002). “Building code requirements for reinforced concrete.” ACI 318-99, Detroit.
ACI. (2008). “Building code requirements for reinforced concrete.” ACI 318-08, Detroit.
Chang, T. Y., Taniguchi, H., and Chen, W. F. (1987). “Non-linear finite element analysis of reinforced concrete panels.” J. Struct. Eng., 113(1), 122–140.
Collins, M. P., Vecchio, F. J., and Mehlhorn, G. (1985). “An international competition to predict the response of reinforced concrete panels.” Can. J. Civ. Eng., 12(3), 624–644.
Commission of the European Communities. (2004). “Design of concrete structures. Part 1.” Eurocode No. 2.
Commission of the European Communities. (2005). “Design of concrete structures. Part 1.” Eurocode No. 2.
Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2001). Concepts and applications of finite element analysis, 4th Ed., Wiley, New York.
CSA. (2004). “Design of concrete structures.” CSA A23.3-04, Rexdale, Ontario, Canada.
Darwin, D. (1974). “Inelastic model for cyclic biaxial loading of reinforced concrete.” Ph.D. thesis, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
Foster, S. J., and Gilbert, R. I. (1996). “The design of nonflexural members with normal and high-strength concretes.” ACI Struct. J., 93(1), 3–10.
Hsu, T. T. C., and Zhang, L. X. B. (1997). “Nonlinear analysis of membrane elements by fixed-angle softened-truss model.” ACI Struct. J., 94(5), 483–492.
Kuchma, D. A., Yinseesuk, S., Nagle, T., Hart, J., and Lee, H. H. (2008). “Experimental validation of the strut-and-tie method for complex regions.” ACI Struct. J., 105(5), 578–589.
Kupfer, H., Hilsdorf, H. K., and Rusch, H. (1969). “Behavior of concrete under biaxial stresses.” ACI J. Proceedings, 66(8), 656–666.
Ley, M. T. and Riding, K. A., Widianto, Bae, S., and Breen, J. E. (2007). “Experimental validation of strut-and-tie design method.” ACI Struct. J., 104(6), 749–755.
Phillips, D. V., and Zienkiewicz, O. C. (1976). “Finite element non-linear analysis of concrete structures.” Proc. Inst. Civ. Eng., Part 2. Res. Theory, 61(3), 59–88.
Ranjbaran, A. (1991). “Embedding of reinforcements in reinforced concrete elements implemented in DENA.” Comput. Struc., 40(4), 925–930.
Schlaich, J., Schafer, K., and Jennewein, M. (1997). “Toward a consistent design of structural concrete.” PCI J., 32(3), 75–149.
Tjhin, T. N. (2004). “Analysis and design tools for structural concrete using strut-and-tie models.” Ph.D. thesis, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
Tjhin, T. N., and Kuchma, D. A. (2002). “Computer-based tools for design by strut-and-tie method: Advances and challenges.” ACI Struct. J., 99(5), 586–594.
Vecchio, F. J. (1989). “Nonlinear finite element analysis of reinforced concrete membranes.” ACI J. Proceedings, 86(1), 26–35.
Vecchio, F. J. (1990). “Reinforced concrete membrane element formulations.” J. Struct. Eng., 116(3), 730–750.
Vecchio, F. J. (1992). “Finite element modeling of concrete expansion and confinement.” J. Struct. Eng., 118(9), 2390–2406.
Vecchio, F. J. (2000). “Disturbed stress field model for reinforced concrete: Formulation.” J. Struct. Eng., 126(9), 1070–1077.
Vecchio, F. J., and Aspiotis, J. (1994). “Response of high strength concrete elements in shear.” ACI Struct. J., 91(4), 423–433.
Vecchio, F. J., and Collins, M. P. (1982). “Response of reinforced concrete to in-plane shear and normal stresses.” Rep. No. 82-03, Univ. of Toronto, Canada.
Vecchio, F. J., and Collins, M. P. (1986). “Modified compression field theory for reinforced concrete elements subjected to shear.” ACI J. Proceedings, 83(2), 219–231.
Vecchio, F. J., and Collins, M. P. (1993). “Compression response of cracked reinforced concrete.” J. Struct. Eng., 119(12), 3590–3610.
Vecchio, F. J., and Wong, P. S. (2003). “VecTor2 and FormWorks user’s manual.” ⟨http://www.civ.utoronto.ca/vector⟩ (February 3, 2006).
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© 2010 ASCE.
History
Received: Jan 29, 2007
Accepted: Sep 29, 2009
Published online: Jan 15, 2010
Published in print: Feb 2010
Notes
Note. Associate Editor: Khalid M. Mosalam
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