DOI QR코드

DOI QR Code

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)
  • 투고 : 2002.09.17
  • 심사 : 2003.10.01
  • 발행 : 2004.06.25

초록

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.

키워드

참고문헌

  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. 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.
  3. Bahn, B.Y. and Hsu, C.T.T. (2000), "Cyclically and biaxially loaded reinforced concrete slender columns", ACI Struct. J., May-June, 444-454.
  4. 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.
  5. Cocchi, G.M. and Volpi, M. (1996), "Inelastic analysis of reinforced concrete beams subjected to combined torsion", Comput. Struct., 61(3), 479-494. https://doi.org/10.1016/0045-7949(96)00096-X
  6. 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.
  7. Elmosieri, M., Kianoush, M. and Tso, W.K. (1998), "Nonlinear analysis of cyclically loaded reinforced concrete structures", ACI Struct. J., November-December, 725-739.
  8. Gambarova, P.G. (1987), "Modelling of interface problems in reinforced concrete", IABSE Colloquium Delft, 1- 16.
  9. Hsu, T.T.C. and Mo, Y.L. (1985), "Softening of concrete in torsional members-theory and tests", ACI J., May- June, 290-303.
  10. 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.
  11. 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. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:2(307)
  12. Morcos, S.S. and BJorhovede, R. (1995), "Fracture modelling of concrete and steel", J. Struct. Eng., ASCE, July, 1125-1133.
  13. 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.
  14. Pang, X.D. and Hsu, T.T.C. (1996), "Fixed angle softened truss model for reinforced concrete", ACI Struct. J., March-April, 197-207.
  15. 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.
  16. Vecchio, F.J. (1999), "Towards cyclic load modelling of reinforced concrete", ACI Struct. J., March-April, 193- 202.
  17. Vecchio, F.J. (2000a), "Analysis of shear-critical reinforced concrete beams", ACI Struct. J., January-February, 102-110.
  18. Vecchio, F.J. (2000b), "Disturbed stress field model for reinforced concrete: formulation", J. Struct. Eng., ASCE, September, 1070-1077.
  19. 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.
  20. 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).
  21. Wagner, H. and Pretschner, W. (1936), "Torsion and buckling of open section", NACA Tech. Mem. N. 784.

피인용 문헌

  1. Querschnittsberechnung von Stahlbetonstäben - Stand der Forschung vol.104, pp.4, 2009, https://doi.org/10.1002/best.200900665