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Modeling of post-tensioned one-way and two-way slabs with unbonded tendons

  • Kim, Uksun (Department of Civil Engineering, California State University at Fullerton) ;
  • Huang, Yu (School of Civil Engineering and Environmental Science, The University of Oklahoma) ;
  • Chakrabarti, Pinaki R. (Department of Civil Engineering, California State University at Fullerton) ;
  • Kang, Thomas H.K. (Department of Architecture & Architectural Engineering, Seoul National University)
  • Received : 2012.05.08
  • Accepted : 2013.12.27
  • Published : 2014.05.28

Abstract

A sophisticated finite element modeling approach is proposed to simulate unbonded post-tensioned concrete slabs. Particularly, finite element contact formulation was employed to simulate the sliding behavior of unbonded tendons. The contact formulation along with other discretizing schemes was selected to assemble the post-tensioned concrete system. Three previously tested unbonded post-tensioned two-way and one-way slabs with different reinforcement configurations and boundary conditions were modeled. Numerical results were compared against experimental data in terms of global pressure-deflection relationship, stiffness degradation, cracking pattern, and stress variation in unbonded tendons. All comparisons indicate a very good agreement between the simulations and experiments. The exercise of model validation showcased the robustness and reliability of the proposed modeling approach applied to numerical simulation of post-tensioned concrete slabs.

Keywords

References

  1. ACI Committee 318 (2011), Building code requirements for structural concrete (ACI 318-11) and commentary, American Concrete Institute, Farmington Hills, MI, USA.
  2. Aroni, S. (1968), "Strength of slender prestressed concrete columns", PCI J, 13(2), 19-33. https://doi.org/10.15554/pcij.04011968.19.33
  3. ASTM (2008), Annual book of ASTM standards, American Society for Testing and Materials, West Conshohocken, PA, USA.
  4. Bondy, K.B. (2012), "Two-way post-tensioned slabs with bonded tendnos", PCI J, 8(2), 43-48.
  5. Carreira, D.J. and Chu, K.H. (1985), "Stress-strain relationship for plain concrete in compression", ACI J Proceed, 82(6), 797-804.
  6. Chacos, G.P. (2007), "Back-up bars for residential slab-on-ground foundations", PCI J, 5(1), 17-22.
  7. Devalapura, R.K. and Tadros, M.K. (1992), "Critical assessment of ACI 318 Eq. (18-3) for prestressing steel stress at ultimate flexure", ACI Struct. J, 89(5), 538-546.
  8. Greunen, J.V. and Scordelis, A.C. (1983), "Nonlinear analysis of prestressed concrete slabs", ASCE J Struct. Eng., 109(7), 1742-1760. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:7(1742)
  9. HKS (2011), ABAQUS/CAEUser's Manual, Hibbitt, Karlsson and Sorensen, Inc., Providence, RI,USA.
  10. Huang, Y., Kang, T.H.-K., Ramseyer, C. and Rha, C. (2010), "Background to multi-scale modelling of unbonded post-tensioned concrete structures", Int. J. Theoretical and Applied Multiscale Mech., 1(3), 219-235. https://doi.org/10.1504/IJTAMM.2010.033601
  11. Kang, T.H.-K. and Wallace, J.W. (2008), "Stresses in unbonded tendons of post-tensioned flat plate systems under dynamic excitation", PTI J, 6(1), 31-44.
  12. Kim, U., Chakrabarti, P.R. and Choi, J. (2009), "Finite element analysis for inelastic flexural behavior of unbonded post-tensioned concrete beams", 5th International Structural Engineering & Construction Conference (Isec-5), Las Vegas, NV, September.
  13. Kim, U., Kang, T.H.-K., Huang, Y. and Chakrabarti, P.R. (2011), "Experimental and numerical analyses of unbonded PT one-way slabs with different boundary conditions", The 2011 International Conference on Computational Technologies in Concrete Structures, Seoul, Korea, September.
  14. Kim, U., Kang, T.H.-K. and Chakrabarti, P.R. (2012), "Rehabilitation of unbonded post-tensioned slabs with different boundary conditions", PTI J, 8(2), 5-19.
  15. Klemencic, R., Fry, J.A., Hurtado, G. and Moehle, J.P. (2006), "Performance of post-tensioned slab-core wall connections", PTI J, 4(2), 19-33.
  16. Kwak, H.G. and Son, J.K. (2010), "Inelastic behaviour of PSC beams with unbonded external tendons", Mag. Concrete Res, 62(5), 313-326. https://doi.org/10.1680/macr.2010.62.5.313
  17. PTI (2006), Post-Tensioning Manual, (6th Edition), Post-Tensioning Institute, Phoenix, AZ, USA.
  18. Rabczuk, T. and Zi, G. (2008), "Numerical fracture analysis of prestressed concrete beams", Int J. Concrete Struct Mater, 2(2), 153-160. https://doi.org/10.4334/IJCSM.2008.2.2.153
  19. Scordelis, A.C., Lin, T.Y, and Itaya, R. (1959), "Behavior of continuous slab prestressed in two directions", ACI J, 31(6), 441-459.
  20. Vecchio, F.J., Gauvreau, P. and Liu, K. (2006), "Modeling of unbonded post-tensioned concrete beams critical in shear", ACI Mater. J., 103(1), 57-64.

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