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Nonlinear modeling of flat-plate structures using grid beam elements

  • Tian, Ying (Department of Civil and Environmental Engineering and Construction, University of Nevada Las Vegas) ;
  • Chen, Jianwei (College of Civil and Architectural Engineering, Hebei United University) ;
  • Said, Aly (Department of Civil and Environmental Engineering and Construction, University of Nevada Las Vegas) ;
  • Zhao, Jian (Department of Civil Engineering and Mechanics, University of Wisconsin - Milwaukee)
  • Received : 2011.12.08
  • Accepted : 2012.05.18
  • Published : 2012.11.25

Abstract

This paper presents a simplified grid beam model for simulating the nonlinear response of reinforced concrete flat-plate structures. The beam elements are defined with nonlinear behavior for bending moment and torsion. The flexural stiffness and torsional strength of the beam elements are defined based on experimental data to implicitly account for slab two-way bending effects. A failure criterion that considers the interaction between the punching strength and slab flexural behavior is incorporated in the model. The effects of bond-slip of slab reinforcement on connection stiffness are examined. The proposed grid beam model is validated by simulating large-scale tests of slab-column connections subjected to concentric gravity loading and unbalanced moment. This study also determines the critical parameters for a hysteretic model used to simulate flat-plates subjected to cyclic lateral loading.

Keywords

References

  1. ACI Committee 318 (2011), Building code requirements for structural concrete (ACI 318-11) and commentary, American Concrete Institute, Farmington Hills, Michigan, USA.
  2. Akiyama, H. and Hawkins, N.M. (1984), Response of flat plate concrete structures to seismic and wind forces, Structures and Mechanics Report SM84-1, Department of Civil Engineering, University of Washington, Seattle, 320.
  3. Coronelli, D. (2010), "Grid model for flat-slab structures", ACI Struct. J., 107(6), 645-653.
  4. Dovich, L.M. and Wight, J.K. (2005), "Effective slab width model for seismic analysis of flat slab frames", ACI Struct. J., 102(6), 868-875.
  5. Elstner, R.C. and Hognestad, E. (1956), "Shearing strength of reinforced concrete slabs", ACI J. Proc., 53(1), 29- 58.
  6. Elwood, K.J. (2002), Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames, Ph.D. thesis, University of California, Berkeley, California.
  7. FIB Task Group on Bond Models (2000), Bond of reinforcement in concrete, Bulletin 10, Lausanne, Switzerland, 427.
  8. Guandalini, S., Burdet, O.L. and Muttoni, A. (2009), "Punching tests of slabs with low reinforcement ratios", ACI Struct. J., 106(1), 87-95.
  9. Hawkins, N.M., Bao, A. and Yamazaki, J. (1989), "Moment transfer from concrete slabs to columns", ACI Struct. J., 86(6), 705-716.
  10. Hsu, T.T.C. (1968), "Torsion of structural concrete-interaction surface for combined torsion, shear, and bending in beams without stirrups", ACI J., 65(1), 51-60.
  11. Kang, T.H.K., Wallace, J.W. and Elwood, K.J. (2009), "Nonlinear modeling of flat-plate systems", J. Struct. Eng.-ASCE, 135(2), 147-158. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:2(147)
  12. Kanoh, Y. and Yoshizaki, S. (1979), "Strength of slab-column connections transferring shear and moment", ACI J., 76(3), 461-478.
  13. Luo, Y.H., Durrani, A.J. and Conte, J.P. (1994), "Equivalent frame analysis of flat plate buildings for seismic loading", J. Struct. Eng.-ASCE, 120(7), 2137-2155. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:7(2137)
  14. Morrison, D.G., Hirasawa, A.M. and Sozen, M.A. (1983), "Lateral-load tests of R/C slab-column connections", J. Struct. Eng.-ASCE, 109(11), 2698-2714. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:11(2698)
  15. Muttoni, A. (2008), "Punching shear strength of reinforced concrete slabs without transverse reinforcement", ACI Struct. J., 105(4), 440-450.
  16. OpenSees (2010), Open system for earthquake engineering simulation, http://opensees.berkeley.edu.
  17. Park, P. and Gamble, W.L. (2000), Reinforced concrete slabs, 2nd ed., John Wiley & Sons.
  18. Robertson, I.N. (1997), "Analysis of flat slab structures subjected to combined lateral and gravity loads", ACI Struct. J., 94(6), 723-729.
  19. Sheu, M.S. and Hawkins, N.M. (1980), "Grid model for predicting the monotonic and hysteretic behavior of slab-column connections transferring moments", ACI SP 63-04, 79-111.
  20. Tian, Y. (2007), Behavior and modeling of reinforced concrete slab-column connections, Ph.D. thesis, University of Texas at Austin, Austin, Texas.
  21. Tian, Y., Jirsa, J.O., Bayrak, O. Widianto and Argudo, J.F. (2008), "Behavior of slab-column connections under different loading histories", ACI Struct. J., 105(5), 561-569.
  22. Tian, Y., Jirsa, J.O. and Bayrak, O. (2009), "Nonlinear modeling of slab-column connections under cyclic loading", ACI Struct. J., 106(1), 30-38.
  23. Yettram, A. and Husain, H.M. (1965), "Grid-framework method for plates in flexure", J. Eng. Mech. Div. ASCE, 63(3), 53-64.
  24. Zhao, J. and Sritharan, S. (2007), "Modeling of strain penetration effects in fiber-based analysis of reinforced concrete structures", ACI Struct. J., 104(2), 133-141.

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