Appraisal of Reciprocal Load Method for Reinforced Concrete Columns of Normal and High Strength Concrete
Publication: Journal of Structural Engineering
Volume 128, Issue 11
Abstract
Use of the reciprocal load method for evaluating the capacity of reinforced concrete (RC) columns under axial load and biaxial bending is suggested in concrete design handbooks and in commentaries to the design codes. The reciprocal load method interpolates such a capacity from the interaction diagrams obtained for the uniaxial bending cases. The adequacy of the reciprocal load method for short reinforced concrete columns of normal strength concrete has been verified in the literature. It is noted that the validity of this method for reinforced concrete columns of high strength concrete is rarely discussed, and that the characteristic of the stress–strain relation of normal strength concrete differs from that of high strength concrete. A numerical assessment of the adequacy of the reciprocal load method for short RC columns of normal and high strength concrete was presented in this study. Also, the possibility of using the reciprocal load method for slender reinforced concrete columns was investigated. The assessment was carried out by comparing the predicted capacities obtained using the reciprocal load method and those obtained by solving several nonlinear coupled governing equations that are established based on statics and considering the nonlinear stress–strain relations of concrete and steel.
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References
ACI318-95. (1999). Building code requirement for reinforcement concrete, ACI Committee No. 318, American Concrete Institute, Detroit.
Bresler, B.(1960). “Design criteria for reinforced columns under axial load and biaxial bending.” ACI J., 57, 481–490.
Collins, M. P., Mitchell, D., and MacGregor, J. G.(1993). “Structural design considerations for high-strength concrete.” Concr. Int., 15(5), 27–34.
CPCA. (1995). Concrete design handbook, 2nd Ed., Canadian Portland Cement Association, Ottawa.
CSA A23.3. (1994). Design of concrete structures, Canadian Standard Association, Rexdale, Ont., Canada.
Hong, H. P.(2000). “Short RC column capacity under biaxial bending and axial load.” Can. J. Civ. Eng., 27(6), 1173–1182.
Hong, H. P.(2001). “Strength of slender reinforced concrete columns under biaxial bending.” J. Struct. Eng., 127(7), 758–762.
Hsu, C. T.(1988). “Analysis and design of square and rectangular columns by equation of failure surface.” ACI Struct. J., 85(2), 167–179.
Kahn, L., and Meyer, K. F.(1995). “Rectangular stress block for nonrectangular compression zone.” ACI Struct. J., 92(3), 304–310.
MacGregor, J. G., and Bartlett, F. J. (2000). Reinforced concrete: Mechanics and design, 1st Ed. (Canada), Prentice-Hall Canada, Scarborough, Ont., Canada.
Mavichak, V., and Furlong, R. W. (1976). “Strength and stiffness of reinforced concrete columns under biaxial bending.” Res. Rep. No. 7-2F, Center for Highway Research, Univ. of Texas at Austin, Austin, Tex.
Parme, A. L., Nieves, J. M., and Gouwens, A.(1966). “Capacity of reinforced rectangular columns subject to biaxial bending.” ACI J., 63(9), 911–923.
Ramamurthy, L. N. (1966). “Investigation of the ultimate strength of square and rectangular columns under biaxially eccentric loads.” Proc., Symp. on Reinforced Concrete Columns, ACI Special Publ. No. SP-13, 263–298.
Rodriguez, J. A., and Aristozabal-Ochoa, J. D.(1999). “Biaxial interaction diagrams for short RC columns of any cross section.” J. Struct. Eng., 125(6), 672–683.
Schittkowski, K.(1985). “NLPQL: a FORTRAN subroutine solving constrained nonlinear programming problems.” Ann. Operat. Res., 5, 485–500.
Wang, C. K.(1988). “Solving the biaxial bending problem in reinforced concrete by a three-level iteration procedure.” Microcomput. Civ. Eng., 3, 311–320.
Wang, G. G., and Hsu, C. T.(1992). “Complete biaxial load-deformation behavior of RC columns.” J. Struct. Eng., 118(9), 2590–2609.
Yen, J. Y.(1990). “Optimized direct design of reinforced concrete columns with uniaxial loads.” ACI Struct. J., 87(3), 247–251.
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Information
Published In
Journal of Structural Engineering
Volume 128 • Issue 11 • November 2002
Pages: 1480 - 1486
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jul 23, 2001
Accepted: Mar 5, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002
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