Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Numerical method for biaxially loaded reinforced and prestressed concrete slender columns with arbitrary section

  • Lou, T.J. (Department of Civil Engineering, Zhejiang University) ;
  • Xiang, Y.Q. (Department of Civil Engineering, Zhejiang University)
  • Received : 2006.01.24
  • Accepted : 2007.12.28
  • Published : 2008.03.30
⟨ Previous Next ⟩

Abstract

In this study, a numerical procedure based on the finite element method for materially and geometrically nonlinear analysis of reinforced and prestressed concrete slender columns with arbitrary section subjected to combined biaxial bending and axial load is developed. In order to overcome the low computer efficiency of the conventional section integration method in which the reinforced concrete section is divided into a large number of small areas, an efficient section integration method is used to determine the section tangent stiffness. In this method, the arbitrary shaped cross section is divided into several concrete trapezoids according to boundary vertices, and the contribution of each trapezoid to section stiffness is determined by integrating directly the trapezoid. The space frame flexural theory is utilized to derive the element tangent stiffness matrix. The nonlinear full-range member response is traced by an updated normal plane arc-length solution method. The analytical results agree well with the experimental ones.

Keywords

References

  1. Ahmad, S.H. and Weerakoon, S.L. (1995), "Model for behavior of slender reinforced concrete columns under biaxial bending", ACI Struct. J., 92(2), 188-198
  2. Chuang, P.H. and Kong, S.K. (1998), "Strength of reinforced concrete columns", J. Struct. Eng., ASCE, 124(9), 992-998 https://doi.org/10.1061/(ASCE)0733-9445(1998)124:9(992)
  3. Hognestad, E. (1951), "A study of combined bending and axial load in reinforced concrete members", Bulletin No. 399, University of Illinois Engineering Experiment Station, Urbana, IL, USA
  4. Kim, J.K. and Yang, J.K. (1995), "Buckling behaviour of slender high-strength concrete columns", Eng. Struct., 17(1), 39-51 https://doi.org/10.1016/0141-0296(95)91039-4
  5. Kim, J.K. and Lee, S.S. (2000), "The behavior of reinforced concrete columns subjected to biaxial bending", Eng. Struct., 22(11), 1518-1528 https://doi.org/10.1016/S0141-0296(99)00090-5
  6. Lam, W.F. and Morley, C.T. (1992), "Arc-length method for passing limit points in structural calculation", J. Struct. Eng., 118(1), 169-185 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:1(169)
  7. Lin, T.Y. and Lakhwara, T.R. (1966), "Ultimate strength of eccentrically loaded partially prestressed columns", PCI J., 11(3), 37-49 https://doi.org/10.15554/pcij.06011966.37.49
  8. Memon, B.A. and Su, X.Z. (2004), "Arc-length technique for nonlinear element analysis", J. Zhejiang University: Science, 5(5), 618-628 https://doi.org/10.1631/jzus.2004.0618
  9. Rodriguez, J.A. and Aristizabal, J.D. (1999), "Biaxial interaction diagrams for short RC columns of any cross section", J. Struct. Eng., ASCE, 125(6), 672-683 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:6(672)
  10. Rodriguez, J.A. and Aristizabal, J.D. (2000), "Partially and fully prestressed concrete sections under biaxial bending and axial load", ACI Struct. J., 97(4), 553-563
  11. Rodriguez, J.A. and Aristizabal, J.D. (2001a), "M-P-${\phi}$ diagrams for reinforced, partially, and fully prestressed concrete sections under biaxial bending and axial load", J. Struct. Eng., ASCE, 127(7), 763-773 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:7(763)
  12. Rodriguez, J.A. and Aristizabal, J.D. (2001b), "Reinforced, partially, and fully prestressed slender concrete columns under biaxial bending and axial load", J. Struct. Eng., ASCE, 127(7), 774-783 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:7(774)
  13. Tsao, W.H. and Hsu, C.T.T. (1994), "Behaviour of biaxially loaded square and L-shaped slender reinforced concrete columns", Mag. Concrete Res., 46(169), 257-267 https://doi.org/10.1680/macr.1994.46.169.257
  14. Vecchio, F.J. and Collins, M.P. (1986), "The modified compression field theory for reinforced concrete elements subjected to shear", ACI Struct. J., 83(2), 219-231
  15. Wang, G.G. and Hsu, C.T.T. (1998), "Nonlinear analysis of reinforced concrete columns by cubic-spline function", J. Eng. Mech., ASCE, 127(4), 803-810

Cited by

  1. Nonlinear analysis of service stresses in reinforced concrete sections-closed form solutions vol.10, pp.5, 2008, https://doi.org/10.12989/cac.2012.10.5.541
  2. Strength of biaxially loaded high strength reinforced concrete columns vol.44, pp.5, 2012, https://doi.org/10.12989/sem.2012.44.5.649