DOI QR코드

DOI QR Code

Inelastic analysis of concrete beams strengthened with various fiber reinforced polymer (FRP) systems

  • Terro, M.J. (Civil Engineering Department, Kuwait University) ;
  • El-Hawary, M.M. (Kuwait Institute for Scientific Research) ;
  • Hamoush, S.A. (Architectural Engineering, Department, A & T State University)
  • Received : 2004.10.27
  • Accepted : 2005.05.02
  • Published : 2005.06.25

Abstract

This paper presents a numerical model developed to evaluate the load-deflection and moment-curvature relationship for concrete beams strengthened externally with four different Fiber Reinforced Polymer (FRP) composite systems. The developed model considers the inelastic behavior of concrete section subjected to a combined axial force and bending moment. The model accounts for tensile strength of concrete as defined by the modulus of rupture of concrete. Based on the adopted material constitutive relations, the model evaluates the sectional curvature as a function of the applied axial load and bending moment. Deflections along the beam are evaluated using a finite difference technique taking into account support conditions. The developed numerical technique has been tested on a cantilever beam with a transverse load applied at its end. A study of the behavior of the beam with tension reinforcement compared to that with FRP areas giving an equivalent ultimate moment has been carried out. Moreover, cracking of the section in the tensile region at ultimate load has also been considered. The results indicated that beams reinforced with FRP systems possess more ductility than those reinforced with steel. This ductility, however, can be tuned by increasing the area of FRP or by combining different FRP layers.

Keywords

References

  1. ACI committee 440 (1996), "state of the art report on FRP for concrete structures", ACI440R-96, Manual of Concrete Practice, American Concrete Institute, MI.
  2. Ahmad, S. H. and Shah, S. P. (1979), "Complete stress- strain curve of concrete and nonlinear design", CSCEASCE- ACI-CEB International Symposium, University of Waterloo, Ontario, Canada, Aug.
  3. Auciello, N. M. and Ercolano, A. (1992), "Nonlinear analysis of beam subjected to axial and transverse loads", Comput. Struct. 44(4), 863-868.
  4. Bencardino, F., Spadea, G. and Swamy, R. N. (2002), "Strength and ductility of reinforced concrete beams externally reinforced with carbon fiber fabric", ACI Struct. J., 99(2).
  5. Brena, S. and Macri, B. (2004) "Effect of carbon-fiber reinforced polymer laminate configuration on the behavior of strengthened reinforced concrete beams", Composites for Construction, 8(3).
  6. Desayi, P. and Krishnan, S. (1964), "Equation for the stress-strain curve of concrete", ACI J. Struct. Eng., Proc. 61, 345-350.
  7. Duthinh, D. and Starnes, M. (2004), "Strength and ductility of concrete beams reinforced with carbon fiberreinforced polymer plates and steel", Composites for Construction, 8(1).
  8. El-Hawary, M. M., Fereig, S., Al-Duaij, J. and Al-Khaiat, H. (2003), "On the retrofitting of RC beams using FRP fabrics", First International Conference of the ACI Kuwait Chapter, Kuwait, September.
  9. Fertis, D. G. and Keene, Michael E. (1990), "Elastic and inelastic analysis of nonprismatic members", J. Struct. Eng. ASCE, 116(2), Feb.
  10. Fertis, D. G. and Tanej Rajesh (1991), "Equivalent systems for inelastic analysis of prismatic and nonprismatic members", J. Struct. Eng. ASCE, 117(2), Feb.
  11. Fertis, D. G. and Zobel, E. (1958), "Equivalent system for the deflection of variable stiffness members", J. Struct. Div.
  12. Fertis, D. G. and Zobel, E. (1961), Transverse vibration theory, application of equivalent systems, Roland Press Co., Inc. New York, N. Y.
  13. Fujikake, K., Mindess, S. and Xu, H. (2004), "Analytical model for concrete confined with fiber reinforced polymer composite", Composites for Construction,, 8(4).
  14. Hamid, A. Issa, M., Sabouni, A. R. and Mukhtar, A. (1995), "Use of fiber reinforced plastics in reinforced concrete slabs", Proceedings of the Sixth Arab Structural Engineering Conference, Damascus University, Damascus, Syria.
  15. Hamoush, S. (2001), "Upgrading of non-ductile reinforced concrete frame connections with FRP overlay systems" Final Report, Army Corps of Engineers (CREL), May.
  16. Hamoush, S. A. and Terro, M. J. (1993), "Inelastic analysis of sections subjected to axial force and bending moment", Comput. Struct.
  17. Javier Malvar, L., Morrill, K. and Crawford, J. (2004), "Numerical modeling of concrete confined by fiberreinforced composites", Composites for Construction, 8(4).
  18. MATLAB 6.5, Release 13, The Mathworks, Inc., Natick, Massachusetts, USA, 2002.
  19. Ngo, D. and Scordelis, A. C. (1967), Finite element analysis of reinforced concrete beams", ACI J., 64(3), 152-163.
  20. Pagnoni, T. and Slater, J. (1992), "A nonlinear three dimensional analysis of reinforced concrete based on a bounding surface model", Comput. Struct., 43(1), 1-12. https://doi.org/10.1016/0045-7949(92)90074-A
  21. Rasheed, H. A. S. and Dinno, K. S. (1994), "An efficient nonlinar analysis of RC sections", Comput. Struct. 53(3), 613-623. https://doi.org/10.1016/0045-7949(94)90105-8
  22. Spadea, G., Bencardino, F. and Swamy, R. N. (2000), "Optimizing the performance characteristics of beams strengthened with bonded CFRP laminates", Mater. and Struct., 33.
  23. Swamy, R. N. and Mukhopadhyaya, P. (1999), "Debonding of carbon-fiber-reinforced polymer plate from concrete beams", Struct. Bldg., 134.
  24. Tsai, Wan T. (1987), "Uniaxial stress-strain relation of concrete", J. Struct. Eng. ASCE, 114(9).
  25. Vecchio, Frank J. (1989), "Nonlinear finite element analysis of reinforced membranes". ACI Struct. J., Jan- Feb.
  26. Wang, P. T., Shah, S. P. Naaman, A. E. (1978), "Stress-strain curves of normal and lightweight concrete in compression", ACI Struct. J., Nov.

Cited by

  1. Experimental and numerical investigations of the influence of reducing cement by adding waste powder rubber on the impact behavior of concrete vol.11, pp.1, 2005, https://doi.org/10.12989/cac.2013.11.1.063