DOI QR코드

DOI QR Code

A variable layering system for nonlinear analysis of reinforced concrete plane frames

  • Shuraim, Ahmed B. (Civil Engineering Department, College of Engineering, King Saud University)
  • Published : 2001.01.25

Abstract

An improved method has been developed for the computation of the section forces and stiffness in nonlinear finite element analysis of RC plane frames. The need for a new approach arises because the conventional technique may have a questionable level of efficiency if a large number of layers is specified and a questionable level of accuracy if a smaller number is used. The proposed technique is based on automatically dividing the section into zones of similar state of stress and tangent modulus and then numerically integrating within each zone to evaluate the sectional stiffness parameters and forces. In the new system, the size, number and location of the layers vary with the state of the strains in the cross section. The proposed method shows a significant improvement in time requirement and accuracy in comparison with the conventional layered approach. The computer program based on the new technique has been used successfully to predict the experimental load-deflection response of a RC frame and good agreement with test and other numerical results have been obtained.

Keywords

References

  1. Abdel Rahman, H.H. and Hinton, E. (1986), "Nonlinear finite element analysis of reinforced concrete stiffened and cellular slabs", Comput. Struct., 23, 330-350.
  2. Barzegar, F. (1989), "Analysis of RC membrane elements with anisotropic reinforcement", J. Struct. Eng., ASCE, 115, 647-665. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:3(647)
  3. Bazant, P., Pan, J. and Cabot, G.P. (1987), "Softening in reinforced concrete beams and frames", J. Struct. Eng., ASCE, 113, 2333-2347.
  4. Bresler, B. and Selna, L.G. (1964), "Analysis of time-dependent behavior of reinforced concrete structures", Symposium on Creep of Concrete, ACI SP-9, 115-127.
  5. Cedolin, L., Darwin, D., Ingraffea, A.R., Pecknold, E.A. and Schnobrich, W.C. (1982), "Concrete cracking," STATE OF THE ART Report on Finite Element Analysis of Reinforced, ASCE Special Publications, ASCE, New York, 545.
  6. El-Metwally, E. and Chen, W.F. (1989), "Nonlinear behavior of R/C frames", Comput. Struct., 32, 1203-1209. https://doi.org/10.1016/0045-7949(89)90297-6
  7. Ernst, C., Smith G.H. and Riveland, A.R. (1971), "Basic reinforced concrete frame performance under vertical and lateral loads", ACI J., 70, 261-269.
  8. Gilbert, R.I. (1979), "Time-Dependent analysis of reinforced and prestressed concrete slabs", Proceeding of the Third International Conference in Australia on Finite Element Methods, The University of New South Wales, 215-230.
  9. Gilbert, R.I and Warner, R.F. (1978), "Tension stiffening in reinforced concrete slabs ", J. Struct. Div., ASCE, 104, 1885-1900.
  10. Izzuddin, A., Karayannis, C.G. and Elnashai, A.S. (1994), "Advanced nonlinear formulation for reinforced concrete beam-columns," J. Struct. Eng., ASCE, 120, 2913-2934. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:10(2913)
  11. Kang, Y-J. and Scordelis, A.C. (1980), "Nonlinear analysis of prestressed concrete frames ", J. Struct. Div., ASCE, 106, 445-462.
  12. Kim, K. and Lee, T.G. (1992), "Nonlinear analysis of reinforced concrete beams with softening", Comput. Struct, 44, 567-573. https://doi.org/10.1016/0045-7949(92)90389-H
  13. Kim, K. and Lee, T.G. (1993), "Failure behavior of reinforced concrete frames by the combined layered and nonlayered method", Comput. Struct, 48, 819-825. https://doi.org/10.1016/0045-7949(93)90503-6
  14. Martin, H.C. (1965), "On the derivation of stiffness matrices for the analysis of large deflection and stability problems", Proc. 1st Conf. Matrix Methods Struct. Mech., Wright-Paterson AFB, Ohio, AFFDL-TR-66-80, 697-715.
  15. Marzouk, M. and Chen, Z. (1993), "Finite element analysis of high-strength concrete slabs", ACI Struct. J., 90, 505-513.
  16. Polak, M.A. and Vecchio, F.J. (1993), "Nonlinear analysis of reinforced -concrete shells", J. Struct. Eng., ASCE, 119, 3439-3462. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:12(3439)
  17. Selna, L.G. (1969), "Creep, cracking, and shrinkage in concrete framed structures", J. Struct. Div., ASCE, 95, 2743-2761.
  18. Shuraim, A.B. (1990), "Slenderness effects in prestressed concrete columns", Ph.D. Dissertation, The University of Michigan, Michigan.
  19. Shuraim, A.B. (1997), "Lateral stiffness of reinforced concrete frames." Comput. Struct., 64, 771-782. https://doi.org/10.1016/S0045-7949(96)00174-5
  20. Sun, C.H., Bradford, M.A. and Gilbert, R.I. (1993), "Nonlinear analysis for concrete frame structures using the finite element method", Comput. Struct, 48, 73-79. https://doi.org/10.1016/0045-7949(93)90459-Q
  21. Weaver, W. and Johnston, P.R. (1984), Finite Element for Structural Analysis, Prentice-Hall, Inc, 403.

Cited by

  1. A reinforced concrete frame element with shear effect vol.36, pp.1, 2001, https://doi.org/10.12989/sem.2010.36.1.057