[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2004.17.6.829

Nonlinear analysis of reinforced concrete beam elements subject to cyclical combined actions of torsion, biaxial flexure and axial forces

Cocchi, Gian Michele (Universita di Ancona, Facolta di Ingegneria, Istituto di Scienza e Tecnica delle Costruzioni)
Tiriaca, Paolo (Universita di Ancona, Facolta di Ingegneria, Istituto di Scienza e Tecnica delle Costruzioni)

Publication Information

Structural Engineering and Mechanics / v.17, no.6, 2004 , pp. 829-862 More about this Journal

Abstract

This paper presents a method for the nonlinear analysis of beam elements subjected to the cyclical combined actions of torsion, biaxial flexure and axial forces based on an extension of the disturbed compression field (DSFM). The theoretical model is based on a hybrid formulation between the full rotation of the cracks model and the fixed direction of the cracking model. The described formulation, which treats cracked concrete as an orthotropic material, includes a new approach for the evaluation of the re-orientation of both the compression field and the deformation field by removing the restriction of their coincidence. A new equation of congruence permits evaluating the deformation of the middle line. The problem consists in the solution of coupled nonlinear simultaneous equations expressing equilibrium, congruence and the constitutive laws. The proposed method makes it possible to determine the deformations of the beam element according to the external stresses applied.

Keywords

cyclic loads; reinforced concrete; cracking (fracturing); spatial truss; stress-strain relationships; aggregate interlock; equilibrium; congruence; Mohr's circle; numerical analysis;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

1	Ali, M.A. and White, R.N. (1999), "Enhanced contact model for shear friction of normal and high-strength concrete", ACI Struct. J., May-June, 348-360.
2	Bahn, B.Y. and Hsu, C.T.T. (2000), "Cyclically and biaxially loaded reinforced concrete slender columns", ACI Struct. J., May-June, 444-454.
3	Cocchi, G.M. and Volpi, M. (1996), "Inelastic analysis of reinforced concrete beams subjected to combined torsion", Comput. Struct., 61(3), 479-494. DOI ScienceOn
4	Hsu, T.T.C. and Zhang, L.X.B. (1997), "Nonlinear analysis of membrane elements by fixed-angle softened-truss model", ACI Struct. J., September-October, 483-492.
5	Onsongo, W.M. (1978), "The diagonal compression field theory for reinforced concrete beams subjected to combinated torsion, flexural and axial load", PhD Thesis Presented to the University of Toronto, Toronto, Ontario, Canada.
6	Vecchio, F.J. (2000b), "Disturbed stress field model for reinforced concrete: formulation", J. Struct. Eng., ASCE, September, 1070-1077.
7	Vlasov, V.Z., "Thin walled elastic bar", 2a edizione, Fimatgiz, Mosca, 1959 (traduzione in inglese a cura di: Isdral program for scientific traslation, Gerusalemme, 1961).
8	Wagner, H. and Pretschner, W. (1936), "Torsion and buckling of open section", NACA Tech. Mem. N. 784.
9	Vecchio, F.J. (1999), "Towards cyclic load modelling of reinforced concrete", ACI Struct. J., March-April, 193- 202.
10	Morcos, S.S. and BJorhovede, R. (1995), "Fracture modelling of concrete and steel", J. Struct. Eng., ASCE, July, 1125-1133.
11	Hsu, T.T.C. and Mo, Y.L. (1985), "Softening of concrete in torsional members-theory and tests", ACI J., May- June, 290-303.
12	Assa, B. and Nishiyama, M. (1998), "Prediction of load-displacement curve of high-strength concrete columns under simulated seismic loading", ACI Struct. J., September-October, 547-557.
13	Vecchio, F.J. and Collins, M.P. (1986), "The modified compression-field theory for reinforced concrete elements subjected to shear", ACI Struct. J., March-April, 219-231.
14	Duthinh, D. (1999), "Sensitivity of shear strength of reinforced concrete and prestressed concrete softening according to modified compression", ACI Struct. J., July-August, 495-508.
15	Vecchio, F.J. (2000a), "Analysis of shear-critical reinforced concrete beams", ACI Struct. J., January-February, 102-110.
16	Paulay, T. and Loeber, P.J., "Shear transfer by aggregate interlock", Shear in reinforced Concrete Sp-42. American Concrete Institute, Farmington Hills, Mich., 1-15.
17	Bhide, S.B. and Collins, M.P. (1989), "Influence of axial tension on the shear capacity of reinforced concrete members", ACI Struct. J., September-October, 570-581.
18	Leung, M.B. and Schnobrich, W.S. (1987), "Reinforced concrete beams subjected to bending and torsion", J. Struct. Eng., ASCE, 113(2), February, 307-321. DOI ScienceOn
19	Pang, X.D. and Hsu, T.T.C. (1996), "Fixed angle softened truss model for reinforced concrete", ACI Struct. J., March-April, 197-207.
20	Elmosieri, M., Kianoush, M. and Tso, W.K. (1998), "Nonlinear analysis of cyclically loaded reinforced concrete structures", ACI Struct. J., November-December, 725-739.
21	Gambarova, P.G. (1987), "Modelling of interface problems in reinforced concrete", IABSE Colloquium Delft, 1- 16.