A numerical procedure is presented for the study of the failure mechanism of reinforced concrete sections of arbitrary shape in biaxial bending with axial force. The procedure is a fiber model, which allows to compute the moment-curvature diagram and the interaction domains using non-linear constitutive laws, also with softening post-peak branch for concrete. The numerical technique is able to find the position and the orientation of the neutral axis that determines a resultant moment, which acts along a predefined orientation angle. Analytical moment-curvature diagrams and interaction domains are compared with data published in the literature.
EN 1998-1, Eurocode 8, Design of structures for earthquake resistance, Part 1: General Rules, Seismic Actions and Rules for Buildings, Dec. 2003, Brussels, Belgium.
Hsu C. T. Behavior of structural concrete subjected to biaxial flexure and axial compression, PhD Thesis, McGill University, Montreal, Quebec, Canada, Aug. 1974.
Hsu C. T. , '', in Behavior of structural concrete subjected to biaxial flexure and axial compression , (1974 ) -.
Hsu C. T. Biaxially loaded L-shaped reinforced concrete columns, Journal of Structural Engineering, ASCE, 1985, Vol. 111, No. 12, pp. 2576–2595.
Hsu C. T. , 'Biaxially loaded L-shaped reinforced concrete columns ' (1985 ) 111 Journal of Structural Engineering, ASCE : 2576 -2595 .
Hsu C. T. Moment-curvature characteristics for reinforced concrete, Civil Engineering Practice, P. N. Cheremisinoff, N. P. Cheremisinoff, and S. L. Cheng, Eds, Vol. 1, Technomic Publishing Co. Inc., 1987 pp. 89–131.
Hsu C. T. , '', in Civil Engineering Practice , (1987 ) -.
Hsu C. T. Channel-shaped reinforced concrete compression members under biaxial bending, ACI Structural Journal, Vol. 84, No. 3, 1987,p. 201–211, and errata, Vol. 85, N. 4, 1988, p. 240.
Hsu C. T. , 'Channel-shaped reinforced concrete compression members under biaxial bending ' (1987 ) 84 ACI Structural Journal : 201 -211 .
Hsu C. T. T-shaped reinforced concrete members under biaxial bending and axial compression, ACI Structural Journal, Vol. 86, No. 4, 1989, pp. 460–468.
Hsu C. T. , 'T-shaped reinforced concrete members under biaxial bending and axial compression ' (1989 ) 86 ACI Structural Journal : 460 -468 .
Ahmad S. H., Weerakoon S. L. Model for behavior of slender reinforced concrete columns under biaxial bending, ACI Structural Journal, Vol. 92, No. 2, 1995, pp. 188–198.
Weerakoon S. L. , 'Model for behavior of slender reinforced concrete columns under biaxial bending ' (1995 ) 92 ACI Structural Journal : 188 -198 .
Wang G. G., Hsu C. T. Complete biaxial load-deformation behavior of RC columns, Journal of Structural Engineering, ASCE, Vol. 118, No. 9, 1992, 2590–2609.
Hsu C. T. , 'Complete biaxial load-deformation behavior of RC columns ' (1992 ) 118 Journal of Structural Engineering, ASCE : 2590 -2609 .
Pfrang E. O., Siess C. P., Sozen M. A. Load-moment-curvature characteristics of reinforced concrete cross section, ACI Journal, Proceedings, Vol. 61, No. 7, 1964, pp. 763–778.
Sozen M. A. , 'Load-moment-curvature characteristics of reinforced concrete cross section ' (1964 ) 61 ACI Journal, Proceedings : 763 -778 .
Fossetti M., Papia M. Dimensionless analysis of RC rectangular sections under axial loads and biaxial bending, Engineering Structures, Vol. 44, 2012, pp. 34–45.
Papia M. , 'Dimensionless analysis of RC rectangular sections under axial loads and biaxial bending ' (2012 ) 44 Engineering Structures : 34 -45 .
Di Ludovico M., Lignola G. P., Prota A., Cosenza E. Nonlinear analysis of cross sections under axial load and biaxial bending, ACI Structural Journal, Vol. 107, No. 4, 2010, pp. 390–399.
Cosenza E. , 'Nonlinear analysis of cross sections under axial load and biaxial bending ' (2010 ) 107 ACI Structural Journal : 390 -399 .
Wolfram S. The Mathematica book, 4th ed. Wolfram Media Inc, Cambridge University Press, USA, 1999.
Wolfram S. , '', in The Mathematica book , (1999 ) -.
Popovics S. A numerical approach to the complete stress-strain curves of concrete, Cement and Concrete Research, Vol. 3, No. 5, 1973, pp. 583–599.
Popovics S. , 'A numerical approach to the complete stress-strain curves of concrete ' (1973 ) 3 Cement and Concrete Research : 583 -599 .
Rodriguez J. A., Aristizabal-Ochoa J. D. Biaxial interaction diagrams for short RC columns of any cross section, Journal of Structural Engineering, ASCE, Vol. 125, No. 6, 1999, pp. 672–683.
Aristizabal-Ochoa J. D. , 'Biaxial interaction diagrams for short RC columns of any cross section ' (1999 ) 125 Journal of Structural Engineering, ASCE : 672 -683 .
Hsu C. T. T. Analysis and design of square and rectangular columns by equation of failure surface, ACI Structural Journal, Vol. 85, No. 2, 1988, pp. 167–179.
Hsu C. T. T. , 'Analysis and design of square and rectangular columns by equation of failure surface ' (1988 ) 85 ACI Structural Journal : 167 -179 .
Bresler B. Design criteria for reinforced columns under axial load and biaxial bending, ACI Journal, Proceedings, Vol. 37, No. 5, 1960, pp. 481–490.
Bresler B. , 'Design criteria for reinforced columns under axial load and biaxial bending ' (1960 ) 37 ACI Journal, Proceedings : 481 -490 .
Ramamurthy L. N. Investigation of the ultimate strength of square and rectangular columns under biaxially eccentric loads, Reinforced Concrete Columns, SP-13, American Concrete Institute, Farmington Hills, MI, 1966, pp. 263–298.
Ramamurthy L. N. , '', in Reinforced Concrete Columns, SP-13 , (1966 ) -.