Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Analytical model for high-strength concrete columns with square cross-section

  • Campione, G. (Dipartimento di Ingegneria Strutturale e Geotecnica, Universita di Palermo)
  • Received : 2006.06.02
  • Accepted : 2007.11.15
  • Published : 2008.02.20
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Abstract

In the present paper a mechanical model to predict the compressive response of high strength short concrete columns with square cross-section confined by transverse steel is presented. The model allows one to estimate the equivalent confinement pressures exercised by transverse steel during the loading process taking into account of the interaction of the stirrups with the inner core both in the plane of the stirrups and in the space between two successive stirrups. The lateral pressure distributions at hoop levels are obtained by using a simple model of elastic beam on elastic medium simulating the interaction between stirrups and concrete core, including yielding of steel stirrups and damage of concrete core by means of the variation in the elastic modulus and in the Poisson's coefficient. Complete stress-strain curves in compression of confined concrete core are obtained considering the variation of the axial forces in the leg of the stirrup during the loading process. The model was compared with some others presented in the literature and it was validated on the basis of the existing experimental data. Finally, it was shown that the model allows one to include the main parameters governing the confinement problems of high strength concrete members such as: - the strength of plain concrete and its brittleness; - the diameter, the pitch and the yielding stress of the stirrups; - the diameter and the yielding stress of longitudinal bars; - the side of the member, etc.

Keywords

References

  1. Ahmad, S.M. and Shah, S.P. (1982), "Stress-strain curves of concrete confined by spiral reinforcement", ACI Struct. J., 79(6), 484-490
  2. Braga, F., Gigliotti, R. and Laterza, M. (2006), "Analytical stress-strain relationship for concrete confiend by steel stirrusp and/or FRP jackets", J. Struct. Eng., ASCE, 132(9), 1402-1419 https://doi.org/10.1061/(ASCE)0733-9445(2006)132:9(1402)
  3. Chen, W.F. and Sohal, I. (1995), "Plastic design and second-order analysis of steel frames", Book published by Springer-Verlag, New York, 509 pp
  4. Cusson, D. and Paultre, P. (1994), "High-strength concrete columns confined by rectangular ties", J. Struct. Eng., ASCE, 120(3), 783-804 https://doi.org/10.1061/(ASCE)0733-9445(1994)120:3(783)
  5. Cusson, D. and Paultre, P. (1995), "Stress-strain model for confined high strength concrete", J. Struct. Eng., ASCE, 121(3), 468-477 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:3(468)
  6. Cusson, D. and Paultre, P. (1995), "Stress-strain model for confined high-strength concrete", J. Struct. Eng., ASCE, 121(3), 468-477 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:3(468)
  7. Elwi, A.A. and Murray, D.W. (1979), "A 3D hypoelastic concrete constitutive relationship", J. Eng. Mech., ASCE, 105, 623-641
  8. Fafitis, A. and Shah, S.P. (1985), "Lateral reinforcement for high-strength concrete columns", ACI Spec. Publ. SP 87-12, American Concrete Institute (ACI), 213-232
  9. Foster, S.J., Liu, J. and Sheikh, S.A. (1998), "Cover spalling in HSC columns loaded in concentric compression", J. Struct. Eng., ASCE, 124(12), 1431-1437 https://doi.org/10.1061/(ASCE)0733-9445(1998)124:12(1431)
  10. Hong, K., Han, S.H. and Yi, S.T. (2006), "High-strength columns confined by low-volumetric-ratio lateral ties", Eng. Struct., 28, 1346-1353 https://doi.org/10.1016/j.engstruct.2006.01.010
  11. La Mendola, L. and Papia, M. (2002), "General stress-strain model for concrete or masonry response under uniaxial cyclic compression", Struct. Eng. Mech., 14(4), 435-454 https://doi.org/10.12989/sem.2002.14.4.435
  12. Lima Junior, H.C. and Giongo, J.S. (2004), "Steel-fibre high-strength concrete prisms confined by rectangular ties under concentric compression", Mater. Stuct., 37, 689-697 https://doi.org/10.1007/BF02480514
  13. Liu, J. and Foster, S.J. (2000), "Strength of tied high-strength concrete columns loaded in concentric compression", ACI Stuct. J., 97(1), 149-156
  14. Mander, J.B., Priestley, M.J.N. and Park, R. (1988), "Observed stress-strain behavior of confined concrete", J. Struct. Eng., ASCE, 114(8), 1827-1849 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1827)
  15. Mander, J.B., Priestley, M.J.N. and Park, R. (1988), "Theoretical stress-strain model for confined concrete", J. Struct. Eng., ASCE, 114(8), 1804-1826 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  16. Mau, S.T., Elwi Alaa, E. and Zhou Si-Zhu. (1988), "Analytical study of spacing of lateral steel and column confinement", J. Struct. Eng., ASCE, 124(3), 262-269 https://doi.org/10.1061/(ASCE)0733-9445(1998)124:3(262)
  17. Park, R., Priestley, M.J.N. and Gill, W.D. (1982), "Ductility of square-confined concrete columns", Proceedings, ASCE, 108(4), 929-950
  18. Popovics, S. (1973), "A numerical approach to the complete stress-strain curve of concrete", Cement Concrete Res., 3(5), 583-599 https://doi.org/10.1016/0008-8846(73)90096-3
  19. Razvi, R. and Saatcioglu, M. (1999), "Circular high-strength concrete columns under concentric compression", ACI Struct. J., 96(5), 817-825
  20. Razvi, S. and Saatcioglu, M. (1999), "Confinement model for high-strength concrete", J. Struct. Eng., ASCE, 125(3), 281-288 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:3(281)
  21. Richart, F.E., Brandtzaeg, A. and Brown, R.L. (1929), "The failure of plain and spiral reinforced concrete in compression", Engineering Experiment Station; Bulletin N.190, University of Illinois, Urbana, USA
  22. Sargin, M. (1971), "Stress-strain relationship for concrete and the analysis of structural concrete sections", Solid Mechanics Division, University of Waterloo, Ontario
  23. Sheikh, S. and Uzumeri, S.M. (1982), "Analytical model for concrete confinement in tied columns", J. Struct. Eng., ASCE, 108(12), 2703-2722
  24. Tan, T.H. and Yip, W.K. (1999), "Behaviour of axially loaded concrete columns confined by elliptical hoops", ACI Struct. J., 96(6), 967-971
  25. Teerawong, J., Lukkunaprasit, P. and Senjuntichai, T. (2004), "Strength enhancement in confined concrete with consideration of flexural flexibilities of ties", Struct. Eng. Mech., 18(2), 151-166 https://doi.org/10.12989/sem.2004.18.2.151

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