DOI QR코드

DOI QR Code

Nonlinear analysis of prestressed concrete structures considering slip behavior of tendons

  • Kwak, Hyo-Gyoung (Department of Civil and Environmental Engineering, KAIST) ;
  • Kim, Jae-Hong (Department of Civil and Environmental Engineering, KAIST) ;
  • Kim, Sun-Hoon (Department of Civil and Environmental Engineering, Youngdong University)
  • 투고 : 2005.03.02
  • 심사 : 2006.01.10
  • 발행 : 2006.02.25

초록

A tendon model that can effectively be used in finite element analyses of prestressed concrete (PSC) structures with bonded tendons is proposed on the basis of the bond characteristics between a tendon and its surrounding concrete. Since tensile forces between adjacent cracks are transmitted from a tendon to concrete by bond forces, the constitutive law of a bonded tendon stiffened by grouting is different from that of a bare tendon. Accordingly, the apparent yield stress of an embedded tendon is determined from the bond-slip relationship. The definition of the multi-linear average stress-strain relationship is then obtained through a linear interpolation of the stress difference at the post-yielding stage. Unlike in the case of a bonded tendon, on the other hand, a stress increase beyond the effective prestress in an unbonded tendon is not section-dependent but member-dependent. The tendon stress unequivocally represents a uniform distribution along the length when the friction loss is excluded. Thus, using a strain reduction factor, the modified stress-strain curve of an unbonded tendon is derived by successive iterations. The validity of the proposed two tendon models is verified through correlation studies between analytical and experimental results for PSC beams and slabs.

키워드

과제정보

연구 과제 주관 기관 : Korea Science and Engineering Foundation

참고문헌

  1. ABAQUS, Inc. (2003), ABAQUS 6.4 Analysis User's Manual
  2. ADINA R & D, Inc. (2002), ADINA Verification Manual
  3. Allouche, E. N., Campbell, T. I., Green, M. F., and Soudki, K. A. (1999), 'Tendon stress in continuous unbonded prestressed concrete members -Part2: Parametric study', PCI J., January-February, 60-73
  4. ASCE task committee on finite element analysis of reinforced concrete structures (1982) State-of-the-Art Report on Finite Element Analysis of Reinforced Concrete. ASCE
  5. Balazs, G. L. (1992), 'Transfer control of prestressing strands', PCI J., Nov.-Dec., 60-69
  6. Belarbi, A. and Hsu, T. T. C. (1994), 'Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete', ACI Struct. J., 91(4), 465-474
  7. Burns, N. H., Charney, F. A., and Vine, W. R. (1978), 'Tests of one-way post-tensioned slabs with unbonded tendons', PCI J., Sep.-Oct., 66-81
  8. Chern, J.-C., You, C.-M., and Bazant, Z. P. (1992), 'Deformation of progressively cracking partially prestressed concrete beam', PCI J., Jan.-Feb., 74-85
  9. Collins, M. P. and Mitchell, D. (1991) Prestressed Concrete Structures. Prentice Hall
  10. Comite Euro-International du Beton (CEB) task group 22 (1996), RC Elements Under Cyclic Loading. Thomas Telford
  11. Comite Euro-International du Beton (CEB) and Federation International de la Prestressing (FIP) (1990) CEB-FIP Model Code for Concrete Structures. Thomas Telford
  12. Crisfield, M. A. (1982), 'Accelerated solution techniques and concrete cracking', Comput. Meth. Appl. Mech. Engng., 33, 587-607
  13. Devalapura, R. K. and Tadros, M. K. (1992), 'Stress-strain modeling of 270ksi low-relaxation prestressing strands', PCI J., Mar.-Apr., 100-106
  14. Fib Task Group on Bond Models (2000), Bond of Reinforcement in Concrete. Federation International du Beton (fib)
  15. Kwak, H.-G. and Filippou, F.C. (1990), Finite Element Analysis of Reinforced Concrete Structures Under Monotonic Loads. UCB/SEMM-90/14, University of California, Berkeley
  16. Kwak, H.-G. and Kim, D.-Y. (2001), 'Nonlinear analysis of RC shear walls considering tension-stiffening effect', Comput. Struct., 75(5), 499-517
  17. Kwak, H.-G. and Kim, D.-Y. (2004), 'FE analysis of RC shear walls subject to monotonic loadings', Magazine Conc. Res., 56(7), 405-418 https://doi.org/10.1680/macr.56.7.405.46717
  18. Kwak, H.-G. and Kim, S.-P. (2002), 'Monotonic moment-curvature relation of RC beams', Magazine Conc. Res., 54(6), 423-434 https://doi.org/10.1680/macr.54.6.423.38826
  19. Kwak, H.-G. and Seo, Y.-J. (2002), 'Numerical analysis of time-dependent behavior of pre-cast pre-stressed concrete girder bridges', Constr. Bldg. Mater., 16, 49-63 https://doi.org/10.1016/S0950-0618(01)00027-7
  20. Kwak, H.-G. and Son, J.-K. (2004), 'Design moment variations in bridges constructed using a balanced cantilever method', Constr. Bldg. Mater., 18, 753-766 https://doi.org/10.1016/j.conbuildmat.2004.04.021
  21. Kwak, H.-G. and Song, J.-Y. (2002), 'Cracking analysis of RC members using polynomial strain distribution function', Eng. Struct., 24(4), 455-468 https://doi.org/10.1016/S0141-0296(01)00112-2
  22. Lin, T. Y. (1955), 'Strength of continuous prestressed concrete beams under static and repeated loads', ACI J., 26(10), 1037-1059
  23. Maekawa, K., Pimanmas, A., and Okamura, H. (2003), Nonlinear Mechanics of Reinforced Concrete. Spon Press
  24. Naaman, A. E. and Alkhairi, F. M. (1991), 'Stress at ultimate in unbonded post-tensioning tendons: Part 2 - Proposed methodology', ACI Struct. J., 88(6), 683-692
  25. Park, R. and Paulay, T. (1975), Reinforced Concrete Structure, John Wiley & Sons
  26. Sawyer, H. A. (1964), 'Design of concrete frames for two failure states', Proceedings of the International Symposium on the Flexural Mechanics of Reinforced Concrete, ASCE-ACI, Miami, 405-431
  27. Tao, X. and Du, G. (1985), 'Ultimate stress of unbonded tendons in partially prestressed concrete beams', PCI J., Nov.-Dec., 72-91
  28. TNO Building and Construction Research (2002), DIANA-8.1 User's Manual
  29. Wu, X. H., Otani, S., and Shiohara, H. (2001), 'Tendon model for nonlinear analysis of prestressed concrete structures', J. Struct. Eng., ASCE, 127(4), 398-405 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:4(398)

피인용 문헌

  1. 3D Coordinating Relations between Steel Cables and Concrete of Prestressed Concrete Beam Bridges vol.14, pp.4, 2009, https://doi.org/10.1061/(ASCE)1084-0702(2009)14:4(279)
  2. Nonlinear analysis of RC beams based on simplified moment-curvature relation considering fixed-end rotation vol.4, pp.6, 2007, https://doi.org/10.12989/cac.2007.4.6.457
  3. Numerical assessment of post-tensioned slab-edge column connection systems with and without shear cap vol.22, pp.1, 2006, https://doi.org/10.12989/cac.2018.22.1.071
  4. Comparative study of modeling methods used to simulate initial stresses in prestressed beams towards manual analysis vol.281, pp.None, 2019, https://doi.org/10.1051/matecconf/201928101014