TECHNICAL PAPERS
Nov 15, 2004

Analytical Approach to Failure Surfaces in Reinforced Concrete Sections Subjected to Axial Loads and Biaxial Bending

Publication: Journal of Structural Engineering
Volume 130, Issue 12

Abstract

This paper proposes an analytical approach to calculating failure surfaces in rectangular reinforced concrete cross sections with symmetrical reinforcement when submitted to axial loads and biaxial bending. The analytical method is valid for concrete with a strength of between 25 and 80MPa. The failure surface is obtained by means of reference generatrices that lie on two directrices corresponding to two known axial loads and on the maximum and minimum axial capacity of the section. The proposed expression was assessed with results obtained from experimental tests (from the literature) and from a numerical model. This approach enables the section capacity to be verified and the reinforcement designed to a sufficient degree of accuracy for everyday professional practice. The method is easy to use and may be extensively applied to reinforced concrete columns in buildings.

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References

1.
Aas-Jakobsen A. (1964). “Biaxial eccentricities in ultimate load design.” ACI J., 61(3), 293–316.
32.
American Concrete Institute ( 1999). SP-19.
3.
American Concrete Institute ( 2002). “Building code requirements for structural concrete and commentary.” ACI 318-02/318R-02, ACI Committee 318, Farmington Hills, Mich.
4.
Anderson, P., and Lee, H. N. (1951). “A modified plastic theory of reinforced concrete.” Bulletin No. 33, V. 54(19), University of Minesota, Minneapolis.
5.
Bonet, J.L. (2001). “Método simplificado de cálculo de soportes esbeltos de hormigón armado de sección rectangular sometidos a compresión y flexión biaxial.” PhD dissertation, Civil Engineering Dept., Technical University of Valencia, Valencia, Spain (in Spanish).
6.
Bonet, J.L., Miguel, P.F., Fernandez, M.A., and Romero, M.L. (2001). “Efficient procedure for stress integration in concrete sections using a Gauss-Legendre cuadrature.” Proc., 8th Int. Conf. on Civil and Structural Engineering Computing, B. H. V. Topping, ed., Civil-Comp Press, Stirling, U.K., paper 53.
7.
Bresler, B. (1960). “Design criteria for reinforced columns under axial load and biaxial bending.” J. Am. Concr. Inst., 57(5), 481–490.
8.
Brndum-Nielsen, T. (1997). “Serviceability analysis of concrete sections under biaxial bending.” J. Struct. Eng. 123(1), 117–119.
9.
Comite Euro-internacional du beton (CEB). (1972). “Manuel de calcul CEB-FIP Flexion-compression.” Bulletin No. 83.
10.
Comite Euro-internacional du beton (CEB). (1991). “CEB-FIB Model Code 1990.” C.E.B. Bulletin No. 203-204 y 205.
11.
Comite Euro-internacional du beton (CEB). (1995). “High performance concrete. Recommended extensions to the Model Code 90 research needs.” C.E.B. Bulletin, No. 228.
12.
European Committee for Standardization, EC-2. (1991). “Eurocode 2: Design of concrete structures- Part 1: General rules and rules for buildings.” ENV-1992-1-1.
13.
Fafitis, A. (2001). “Interaction surfaces of reinforced-concrete sections in biaxial bending.” J. Struct. Eng. 127(7), 840–846.
14.
Foster, S. J., and Attard, M. M. (1997). “Experimental tests on eccentrically loaded high-strength concrete columns.” ACI Struct. J., 94(3), 295–303.
15.
Furlong, R. W. (1961). “Ultimate strength of square columns under biaxially eccentric loads.” J. Am. Concr. Inst., 57(9), 1129–1140.
16.
Furlong, R. W. (1979). “Concrete columns under biaxially eccentric thrust.” J. Am. Concr. Inst., 76(10), 1116–1130.
17.
Heimdahl, P. D., and Bianchini, A. C. (1975). “Ultimate strength of biaxially eccentrically loaded concrete columns reinforced with high strength steel.” Reinforced concrete columns, SP-50, American Concrete Institute, Detroit, 93–117.
18.
Hsu, C.T. (1974). “Behaviour of structural concrete subjected to biaxial flexure and axial compression.” PhD thesis, McGill University, Montreal.
19.
Hsu, C. T. (1988). “Analysis and design of square and rectangular columns by equation of failure surface.” ACI Struct. J., 85 (March-April), 167–179.
20.
Hudson, F. M. (1966). “Reinforced concrete columns: Effects of lateral tie spacing on ultimate strength.” Symposium on Reinforced Concrete Columns, SP-13, American Concrete Institute, Detroit, 235–244.
21.
Jimenez-Montoya, P., García-Messeguer, A., and Morán-Cabré, F. (2000). Hormigón Armado, Gustavo Gili, ed. (in Spanish).
22.
Kim, J. K., and Yang, J. K. (1995). “Buckling behaviour of slender high-strength concrete columns.” Eng. Struct., 17(1), 39–51.
23.
Mari, A.R., and Scordelis, A.C. (1984). “Nonlinear geometric, material and time dependent analysis of three dimensional reinforced and pretressed concrete frames.” Rep. No. USB/SESM-84/12, Departament of Civil Engineering, University of California at Berkeley, Berkley, Calif.
24.
Meek, J. M. (1963). “Ultimate strength of columns with biaxially eccentric loads.” ACI J., 60 (August), 1053–1064.
25.
Miguel, P. F., Bonet, J. L., and Fernández, M. A. (2000). “Integración de tensiones en secciones de hormigón sometidas a flexocompresión esviada.” Rev. Int. Métodos Numéricos Cálculo y Diseño Ingeniería, RIMNI, 16(2), 209–225 (in Spanish).
26.
Muñoz, P. R., and Hsu, C. T. T. (1997). “Behaviour of biaxially loaded concrete-encased composite columns.” J. Struct. Eng. 123(9), 1163–1171.
27.
Parme, A. L., Nieves, J. M., and Gouwens, A. (1966). “Capacity of reinforced rectangular columns subject to biaxial bending.” J. Am. Concr. Inst., 63(9), 911–923.
28.
Rodriguez, J. A., and Aristizabal-Ochoa, D. (1999). “Biaxial interaction diagrams for short RC columns of any cross section.” J. Struct. Eng. 125(6), 672–683.
29.
Rodriguez-Gutierrez, J. A., and Aristizabal-Ochoa, D. (2001). “M-P-π diagrams for reinforced, partially, and fully prestressed concrete sections under biaxial bending and axial load.” J. Struct. Eng. 127(7), 763–773.
30.
Silva, M. A., Swan, C. C., Arora, J. S., and R. M. L. R. F., Brasil (2001). “Failure criterion for RC members under biaxial banding and axial load.” J. Struct. Eng. 127(8), 922–929.
31.
Wang, W., and Hong, H. P. (2002). “Appraisal of reciprocal load method for reinforced concrete columns of normal and high strength concrete.” J. Struct. Eng., 128(11), 1480–1486.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 130Issue 12December 2004
Pages: 2006 - 2015

History

Published online: Nov 15, 2004
Published in print: Dec 2004

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Authors

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J. L. Bonet
PhD, Civil Engineering Dept., Campus de Vera s/n, Technical Univ. of Valencia, 46022 Valencia, Spain. E-mail: [email protected]
P. F. Miguel
PhD, Civil Engineering Dept., Campus de Vera s/n, Technical Univ. of Valencia, 46022 Valencia, Spain. E-mail: [email protected]
M. A. Fernandez
PhD, Civil Engineering Dept., Campus de Vera s/n, Technical Univ. of Valencia, 46022 Valencia, Spain. E-mail: [email protected]
M. L. Romero, A.M.ASCE
PhD, Associate Professor, Dept. of Technology, Campus Riu Sec, Univ. Jaume I, 12071 Castellón, Spain. E-mail: [email protected]

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