Ultimate Strength of Reinforced Concrete Circular Members Subjected to Axial Force, Bending Moment, and Shear Force
Publication: Journal of Structural Engineering
Volume 139, Issue 6
Abstract
Over the last few decades, a significant effort has been made to achieve accurate evaluation of the resistance of RC elements subjected to pure shear or combined internal forces including shear. Regarding the latter, continuum models characterized by simplified stress fields have recently been applied for the evaluation of the ultimate capacity interaction diagram of rectangular RC cross sections undergoing combined axial force, bending moment, and shear force. This paper illustrates the natural progress of these studies and describes an analytical tool for the calculation of the ultimate strength of RC columns with a circular cross section. The proposed method is based on the application of the static theorem of limit analysis and takes into account both truss and arch effects. To ascertain the accuracy and reliability of the method, the relations developed are applied with reference to a large number of tests reported in the literature, and a comparison between the theoretical and experimental results is drawn. Finally, the predictions of the proposed method are compared with those of other simplified methods presented in the literature.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ang, B. G., Priestley, M. J. N., and Paulay, T. (1985). “Seismic shear strength of circular bridge piers.” Rep. 85-5, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Ang, B. G., Priestley, M. J. N., and Paulay, T. (1989). “Seismic shear strength of circular concrete columns.” ACI Struct. J., 86(1), 45–59.
Ascheim, M. A., and Moehle, J. P. (1992). “Shear strength and deformability of RC bridge columns subjected to inelastic cyclic displacement.” Rep. No. UCB/EERC 92/04, Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Berry, M., Parrish, M., and Eberhard, M. (2004). PEER structural performance database, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Calderone A. J., Lehman D. E., and Moehle J. P. (2000). “Behavior of reinforced concrete bridge columns having aspect ratios and varying lengths of confinement.” PEER Rep. 2000/08, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Chai, Y. H., Priestley, M. J. N., and Seible, F. (1991). “Seismic retrofit of circular bridge columns for enhanced flexural performance.” ACI Struct. J., 88(5), 572–584.
European Committee for Standardization. (1993). “Design of concrete structures—Part 1-1: General rules and rules for buildings.” Eurocode 2, Brussels, Belgium.
Hose, Y. D., Seible, F., and Priestley, M. J. N. (1997). “Strategic relocation of plastic hinges in bridge columns.” Structural Systems Research Project 97/05, Univ. of California at La Jolla, San Diego.
Hsu, T. T. C. (1993). Unified theory of reinforced concrete, CRC Press, Boca Raton, FL.
International Federation for Structural Concrete (fib). (2009). Structural concrete textbook on behaviour, design and performance, Document Competence Center, Siegmar Kästl, Germany.
Kowalsky, M. J., and Priestley, M. J. N. (2000). “Improved analytical model for shear strength of circular reinforced concrete columns in seismic regions.” ACI Struct. J., 97(3), 388–396.
Kunnath, S. K., El-Bahy, A., Taylor, A. W., and Stone, W. C. (1997). “Cumulative seismic damage of reinforced concrete bridge piers.” NISTIR 6075, Building and Fire Research Laboratory, National Institute of Standards and Technology, Gaithersburg, MD.
Lehman, D. E., and Moehle, J. P. (1998). “Seismic performance of well-confined concrete bridge columns.” PEER Rep. 1998/01, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Nielsen, M. P. (1984). Limit analysis and concrete plasticity, Prentice Hall Series in Civil Engineering, Englewood Cliffs, NJ.
Nielsen, M. P., Braestrup, M. W., and Bach, F. (1978). “Rational analysis of shear in reinforced concrete beams.” Proc., IABSE, International Association for Bridge and Structural Engineering, Zurich, Switzerland, 1–16.
Norme Tecniche per le Costruzioni. (2008). Decreto Ministeriale 14/01/2008. Gazzetta Ufficiale n. 29, Suppl. Ordinario n. 30, Rome.
Priestley, M. J. N., and Benzoni, G. (1996). “Seismic performance of circular columns with low longitudinal reinforcement ratios.” ACI Struct. J., 93(4), 474–485.
Priestley, M. J. N., Seible, F., and Calvi, M. (1996). Seismic design and retrofit of bridges, Wiley, New York, 333–345.
Priestley, M. J. N., Seible, F., Xiao, Y., and Verma, R. (1994a). “Steel jacket retrofitting of reinforced concrete bridge columns for enhanced shear strength—Part 1: Theoretical consideration and test design.” ACI Struct. J., 91(4), 394–405.
Priestley, M. J. N., Seible, F., Xiao, Y., and Verma, R. (1994b). “Steel jacket retrofitting of reinforced concrete bridge columns for enhanced shear strength—Part 2: Test results and comparison with theory.” ACI Struct. J., 91(5), 537–550.
Priestley, M. J. N., Verma, R., and Xiao, Y. (1994c). “Seismic shear strength of reinforced concrete columns.” J. Struct. Eng., 120(8), 2310–2329.
Recupero, A., D’Aveni, A., and Ghersi, A. (2003). “N-M-V interaction domains for box I-shaped reinforced concrete members.” ACI Struct. J., 100(1), 113–119.
Recupero, A., D’Aveni, A., and Ghersi, A. (2005). “N-M-V interaction domains for prestressed concrete beams.” J. Struct. Eng., 131(9), 1413–1421.
SIA 162/1 (1989). Concrete structures, Swiss Society of Engineers and Architects, Zurich, Switzerland.
Stone, W. C., and Cheok, G. S. (1989). “Inelastic behavior of full-scale bridge columns subjected to cycling loading.” NIST BSS 166, Building Science Series, Center for Building Technology, National Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, MD.
Turmo, J., Ramos, G., and Aparicio, A. C. (2009). “Shear truss analogy for concrete members of solid and hollow circular cross section.” Eng. Structures, 31(2), 455–465.
Walther, R., and Miehlbradt, M. (1990). “Dimensionnement des structures en béton: Bases et technologie.” Traité de Génie Civil de l'Ecole polytechnique fédérale de Lausanne, Vol. 7, Presses Polytechniques et Universitaires Romandes (PPUR), Lausanne, Switzerland.
Watanabe, F., and Ichinose, T. (1991). “Strength and ductility design of RC members subjected to combined bending and shear.” Proc., Int. Workshop on Concrete Shear in Earthquake, Univ. of Houston, Houston.
Wong, Y., Paulay, T., and Priestley, M. J. N. (1990). “Squat circular bridge piers under multi-directional seismic attack.” Rep. 90-4, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Wong, Y., Paulay, T., and Priestley, M. J. N. (1993). “Response of circular reinforced concrete columns to multi-directional seismic attack.” ACI Struct. J., 90(2), 180–191.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Dec 20, 2011
Accepted: Sep 6, 2012
Published online: Sep 8, 2012
Published in print: Jun 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.