Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear finite element analysis of fibre reinforced concrete deep beams

  • Swaddiwudhipong, S. (Department of Civil Engineering, The National University of Singapore)
  • Published : 1996.07.25
⟨ Previous Next ⟩

Abstract

A study on the behaviour of fibre reinforced concrete deep beams with and without web openings is carried out using nonlinear finite element analysis. Eight node isoparametric plane stress elements are employed to model the fibre reinforced concrete materials. Steel bars are treated using a compatible three node truss elements. The constitutive equations for fibre reinforced concrete materials take into account the softening effect of co-existing shear strains. Element stiffness at each step is formulated based on the tangent modulus at the current level of principal strains. Transformation between principal directions and global coordinate system is imposed. Comparison of analytical results with experimental values indicates reasonably good agreement. The proposed numerical model can be used to study the behaviour of this composite structures of practically any geometries.

Keywords

References

  1. Barzeger, F. and Schnobrich, W. C. (1988), "Modelling tension stiffening in finite element analysis of R.C. panels", Proceedings, Canadian J. Soc. for Civ. Engrg., 3, 277-303.
  2. Chow, L., Conway, H.D. and Winter, G. (1953), "Stresses in deep beams", Transactions ASCE, 118(2557), 686-708.
  3. Crisfield, M.A. (1981), "A fast incremental/iteration solution procedure that handles snapthrough", Computers and Structures, 13, 55-62. https://doi.org/10.1016/0045-7949(81)90108-5
  4. Fafitis, A. and Won, V.H. (1994), "Nonlinear finite element analysis of concrete deep beams", Journal of Structural Engineering, ASCE, 120, 1202-1220. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:4(1202)
  5. Fanella, D.A. and Naaman, A.E. (1985), "Stress-strain properties of fibre reinforced mortar in compression", ACI J. Proceedings, 82, 475-483.
  6. Hibbitt, Karlsson and Sorensen Inc. (1991), ABAQUS Manual, 1: Users Manual, 3: Example Problem Manual, Hibbitt, Karlsson and Sorensen Inc., Providence, R.I.
  7. Kent, D.C. and Park, R. (1971), "Flexural members with confined concrete", ASCE Proceedings, 97(ST7), 1969-1990.
  8. Kong, F.K. and Robins, P.J. (1970), "Web reinforcement effects on deep beams", ACI Journal, Proceedings, 67, 1010-1017.
  9. Kong, F.K., Sharp, G.R., Appleton, S.C., Beaumont, C.J. and Kubik, L.A. (1978), "Structural idealization of deep beams with web openings: further evidence, Magazine of Concrete Research, 30, 89-95. https://doi.org/10.1680/macr.1978.30.103.89
  10. Lim, T.Y., Paramasivam, P., Mansur, M.A. and Lee, S.L. (1986), "Tensile behaviour of steel fibre reinforced cement composites", Proceedings 3rd RILEM Int. Sym. on Developments in Fibre Reinforced Cement and Concrete, U.K., 7-16.
  11. Mansur, M.A. and Ong, K.C.G. (1991), "Behaviour of reinforced fibre concrete deep beams in shear", ACI Structural Journal, 88, 98-105.
  12. Powell, G. and Simon, J. (1981), "Improved iteration strategy for nonlinear structures", Ingernational Journal for Numerical Methods in Engineering, 17, 1455-1467. https://doi.org/10.1002/nme.1620171003
  13. Ramm, E. (1981), "Strategies for tracing the nonlinear response near limit points", Nonlinear Finite Element Analysis in Structural Mechanics, Wunderlich, W., Stein, E, and Bathe, K.j., Springer-Verlag, Berlin.
  14. Ray, S.P. and Reddy, C.S. (1979), "Strength of reinforced concrete deep beams with and without opening in the web", The Indian Concrete Journal, 53, 242-246.
  15. Riks, E. (1972), "The application of Newtons method to the problem of elastic stability", Journal Applied Mechnics, 39, 1060-1066. https://doi.org/10.1115/1.3422829
  16. Shanmugam, N.E. and Swaddiwudhipong, S. (1988), "Strength of the fibre reinforced concrete deep beams containing openings", International Journal of Cement Composites and Lightweight Concrete, 10, 53-60. https://doi.org/10.1016/0262-5075(88)90022-X
  17. Singh, H. (1990), "Fibre reinforced concrete deep beams with openings", Thesis Research Project, the National University of Singapore, Singapore.
  18. Swaddiwudhipong, S. and Shanmugam, N.E. (1985), "Fibre reinforced concrete deep beams with openings", Journal of the Structural Engineering, ASCE, 111, 1679-1690. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:8(1679)
  19. Swaddiwudhipong, S. and Shanmugam, N.E. (1994), "Experimental study of fibre-reinforced concrete deep beams containing openings", The Indian Concrete Journal, 68, 367-372.
  20. Timoshenko, S.P. and Goodier, J.N. (1970), Theory of elasticity, 3 Ed., McGraw Hill Book Co., New York.
  21. Vecchio, F.J. and Collins, M.P. (1981), "Stress-strain characteristics of reinforced concrete in pure shear", Final Report, IABSE Colloquium on Advanced Mechanics on Reinforced Concrete, Delft, 211-255.
  22. Vecchio, F.J. and Collins, M.P. (1986), "The modified compression field theory for reinforced concrete elements subjected to shear", ACI Journal, Proceedings, 83, 219-231.
  23. Zienkiewicz, O.C. and Taylor, R.L. (1989), The Finite Element Method, McGraw-Hill, London.

Cited by

  1. Nonlinear Finite Element Modeling of Crack Behavior in Oriented Strand Board Webbed Wood I-Beams with Openings vol.130, pp.10, 2004, https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1562)
  2. Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) vol.17, pp.3, 2000, https://doi.org/10.1108/02644400010324893