Estudio del comportamiento del hormigón armado ante esfuerzos normales y tangentes mediante modelos seccionales de interacción completa

J. M. Bairán; A. R. Marí; S. Mohr

doi:10.3989/ic.09.021

Authors

J. M. Bairán Departamento de Ingeniería de la Construcción. Universidad Politécnica de Cataluña (UPC)
A. R. Marí Departamento de Ingeniería de la Construcción. Universidad Politécnica de Cataluña (UPC)
S. Mohr Departamento de Ingeniería de la Construcción. Universidad Politécnica de Cataluña (UPC)

DOI:

https://doi.org/10.3989/ic.09.021

Keywords:

Shear, Torsion, Inclined cracking, Reinforced concrete, Nonlinear analysis

Abstract

Frame structural analysis has been traditionally based on classic beam theories whose starting hypotheses imply the existence of solely normal stresses in the cross-section or, in some cases, shear stresses in simplified fashion. These methods have been satisfactorily used in the nonlinear analysis of structures dominated by normal forces. Further, there have been many intends to directly extend them to non-linear analysis of concrete structure under more general loading where the theories cannot be applied in a general fashion due to the inclined cracking and anisotropic material behavior. Hence, real structural response under important shear, torsion or confinement cannot be suitably reproduced by traditional beam methods. In this paper, the advantages of frame element idealization of structures are analyzed and the applicability range of traditional schemes considering only normal stresses is defined. A sectional model capable of reproducing 3D stress states in the cross-section domain is briefly presented and used to analyze the response of sections and continuous structures under load cases influenced by tangential forces and confinement. It should be highlighted that the real distribution of normal stresses may be modified in the cracked zone of the beam and affect the structural stiffness. Hence, a shift in the stresses of transverse reinforcement under concomitant bending moments with shear is to be noted as the reciprocal manifestation of the well-known shift of stresses in the longitudinal reinforcements. On the other hand, the model allows a more realistic representation of actual shear patterns of beams and evaluation of actual rotation capacity on length of plastic regions.

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References

(1) Marí, A.R. “Numerical simulation of segmental construction of three-dimensional concrete frames”, Engineering Structures, Vol. 22, No. 6, 585-596, 2000. doi:10.1016/S0141-0296(99)00009-7

(2) Marí, A. R., Bairán, J.M., “Evaluación de los efectos estructurales del deterioro, reparación y refuerzo, mediante análisis no lineal evolutivo”, Hormigón y Acero. Vol. 60, No. 254, pp. 51-63, 2009.

(3) Vecchio, F.J., Collins, M. P., “Predicting the response of reinforced concrete beams subjected to shear using the modified compression field theory”, ACI Structural Journal, Vol. 85, No. 3, pp. 258-268, 1988.

(4) Petrangeli, M., Pinto, P.E., Ciampi. V., “Fiber element for cylic bending and shear of RC structures. I: Theory”. ASCE J. Eng. Mechanics, Vol. 125, No. 9, 994-1009, 1999. doi:10.1061/(ASCE)0733-9399(1999)125:9(994)

(5) Ranzo, G. “Experimental and numerical studies on the seismic performance of beam-column RC structural members subjected to high shear”, Doctoral Thesis, University of Rome “La Sapienza”, Rome, pp. 238, 2000.

(6) Bentz, E., “Sectional analysis of reinforced concrete members”, Doctoral Thesis, University of Toronto, Toronto, pp. 184, 2000.

(7) Bairán, J.M., Marí, A.R. “Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 1: Theoretical formulation”. Computers & Structures, Vol. 84, 2254-2263, 2006. doi:10.1016/j.compstruc.2006.08.036

(8) Bairán, J.M., Marí, A.R. “Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 2: Implementation and validation”. Computers & Structures, Vol. 84, 2264-2276, 2006. doi:10.1016/j.compstruc.2006.08.035

(9) Bairán, J.M., Marí, A.R., “Multiaxial-coupled analysis of RC cross-sections subjected to combined forces”, Engineering Structures, Vol. 29, 1722-1738, 2007. doi:10.1016/j.engstruct.2006.09.007

(10) Bairán, J.M., Marí, A.R., “Shear-Bending-Torsion Interaction in Structural Concrete Members: A Nonlinear Sectional Approach”, Arch. Comput. Methods Eng., 14:249-278, 2007. doi:10.1007/s11831-007-9007-5

(11) Jiménez Montoya, P., García Meseguer, A., Morán Cabré, F., “Hormigón Armado”, Gustavo Gili, DL, Barcelona, 2004.

(12) Park, R., Paulay, T., “Estructuras de concreto reforzado”, Ed. Limusa, México, 1996.

(13) EN-1992-1-1. “Eurocode 2: Design of Concrete Structures- Part 1-1. General Rules and Rules for Buildings”, European committee for Standarization, Decembre 2004.

(14) Comisión permanente del hormigón, “Instrucción de Hormigón Estructural EHE-08”, Ministrio de Fomento, Madrid, Diciembre de 2008.

(15) Bairán, J.M., Marí, A.R., “Proyecto de estructuras de hormigón armado con aceros de alta ductilidad”, Universitat Politècnica de Catalunya, 2007.

(16) Hsu, T.T., “Torsion of reinforced concrete”, Van Nostrand Reinhold, New York, 515.

(17) Leonhard, F., Mönnig, E., “Estructuras de hormigón armado”, Tomos 1 y 3, Ed. El Ateneo, Buenos Aires, 1990.

(18) Onsongo, W. M., “The diagonal compression field theory for reinforced concrete beams subjected to combined torsion, flexure and axial load”, Doctoral Thesis, University of Toronto, Toronto, pp. 246, 1978.

(19) Collins M.P. y Lampert, P., “Redistribution of moments at cracking – The key to simpler torsion design”, Analysis of Structural Systems for Torsion, ACI Publication SP -35, American Concrete Institute, Detroit, 343-383, 1972.

(20) Cladera, A., Marí, A.R., “Experimental study on high-strength concrete beams failing in shear”, Engineering Structures, 10 (27), pp. 1519-1527, 2005.

(21) Bairán, J.M., “A non-linear coupled model for the analysis of reinforced concrete sections under bending, shear, torsion and axial forces”, Doctoral Thesis, Universitat Politècnica de Catalunya, Barcelona, pp. 229, 2005.

(22) Kani, M., “An experimental investigation of reinforced and prestressed beams in shear”, Master Thesis, University of Toronto, Toronto, 1977.

(23) Tagliano, M.,“Indagine sperimentale e modellazione del comportamento anelastico di elementi in calcestruzzo armato”, Dissertazione di Dottorato, Politecnico di Torino,1998.

(24) Lloveras, M., “Influència de la deformació a tallant en bigues de formigó armat fissurades”, Tesina de Especialidad, ETSICCPB, Universitat Politècnica de Catalunya, 2008.