Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Inelastic buckling of tapered members with accumulated strain

  • Kim, M.C. (Department of Civil Engineering, State University of New York at Buffalo) ;
  • Lee, G.C. (Department of Civil Engineering, State University of New York at Buffalo) ;
  • Chang, K.C. (Department of Civil Engineering, National Taiwan University)
  • Published : 1995.11.25
⟨ Previous Next ⟩

Abstract

This paper is concerned with inelastic load carrying capacity of tapered steel members with or without accumulated plastic strains resulted from previous loading histories. A finite element program is developed using stiffness matrices of tapered members and is applicable for analyses with material and geometric nonlinearity. Results of analyses are compared with other available solutions and with experimental results.

Keywords

References

  1. Amirikian, A. (1952), "Wedge-beam framing", Trans. ASCE, 117, 596.
  2. Argyris, J.H., Dunne, P.C., Malejannakis, G.A. and Scharpf, D.W. (1978), "On large displacementsmall strain analysis of structures with rotational degrees of freedom", Comput. Methods Appl. Mech. Eng., 14, 401-451, 15, 99-135.
  3. Argyris, J.H., Hilbert, O., Malejannakis, G.A. and Scharpf, D.W. (1979), "On the geometrical stiffness of a beam in space-a consistent v.w. approach", Comput. Methods Appl. Mech. Eng., 20, 105-131. https://doi.org/10.1016/0045-7825(79)90061-6
  4. Barsoum, R.S. and Gallagher, R.H (1970), "Finite element analysis of torsional and torsional-flexural stability problems", International J. for Num. Methods in Eng., 2, 335-352. https://doi.org/10.1002/nme.1620020304
  5. Bazant, Z.P. and Nimeiri, M.E. (1973), "Large-deflection spatial buckling of thin-walled beams and frames", J. Struct. Eng. ASCE, 99, 1259-1281.
  6. Bradford, M.A. (1988), "Stability of tapered I-beams", J. Construct. Steel Res., 9, 195-216. https://doi.org/10.1016/0143-974X(88)90089-2
  7. Bradford, M.A. (1989), "Inelastic buckling of tapered monosymmetric-I beams", Eng. Struct., 11, 119-126. https://doi.org/10.1016/0141-0296(89)90021-7
  8. Bradford, M.A. and Cuk, P.E. (1988), "Elastic buckling of tapered monosymmetric I-beams", J. Struc. Eng., ASCE, 114(ST5), 977-996. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:5(977)
  9. Chan, S.L. (1990), "Buckling analysis of structures composed of tapered members", J. Struct. Eng., ASCE, 116, Jul. 1893-1906. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:7(1893)
  10. Chan, S.L. and Kitipornchai, S. (1987), "Geometric nonlinear analysis of asymmetric thin-walled beamcolumns", Eng. Struct., 9, Oct. 243-254. https://doi.org/10.1016/0141-0296(87)90023-X
  11. Elias, Z. (1986), Theory and methods of structural analysis, John Wiley and Sons, Inc.
  12. Fukumoto, Y. and Galambos, T.V. (1966)," Inelastic lateral-torsional buckling of beam-columns", J. Struc. Div. Proc. ASCE, 92(ST2), Apr. 41-61.
  13. Hwang, J.S., Chang, K.C. and Lee, G.C. (1991), "Seismic behavior of gable frame consisting of tapered members", J. Struct. Eng. ASCE, 117, Mar. 808-821. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:3(808)
  14. Kim, M.C. (1992), "Elastic and inelastic buckling analysis of tapered members with accumulated strain", Ph. D. Thesis, SUNY at Buffalo.
  15. Kitipornchai, S. and Trahair, N.S. (1972a), "Elastic stability of tapered I-beams", J. Struc. Div. Proc. ASCE, 98(ST3), 713-727.
  16. Kitipornchai, S. and Trahair, N.S. (1972b), "Buckling of inelastic I-beams under uniform moment", J. Struc. Div., ASCE, 98(ST11), 2551-2566.
  17. Lee, G.C. and Morrell, M.L. (1974), "Allowable stress for web-tapered beams with lateral restraints", WRC Bul., 192, Feb.
  18. Lee, G.C. and Morrell, M.L. (1975), "Application of AISC design provision for tapered members", Eng. J., AISC, First Qtr., 1-13.
  19. Lee, G.C., Morrell, M.L. and Ketter, R.L. (1972), "Design of tapered members", WRC Bul. 173.
  20. Lee, G.C. and Szabo, B.A. (1967), "Torsional response of tapered I-girders", J. Struct. Div., ASCE, 93, Oct., 233-252.
  21. Prawel, S.P., Morell, M.L. and Lee, G.C. (1974), "Bending and Buckling strength of tapered structural members", Welding Res. Suppl., Feb., 75-s.
  22. Rajasekaran, S. and Murray, D.W. (1973), "Finite element solution of inelastic beam equations", J. Struct. Div., ASCE, 99(ST6), 1025-1041.
  23. Salter, J.B., Anderson, D. and May, I.M. (1980), "Tests on tapered steel column", The Structural Engineer, 58(6), 189-193.
  24. Shiomi, H. and Kurata, M. (1983), "Strength formula for tapered beam-columns", J. Struct. Eng., ASCE, 110(7), 1630-1643.
  25. Timoshenko, S.P. and Gere, J.M. (1961), Theory of elastic stability, Mcgraw-Hill, New York.
  26. Vlasov, V.Z. (1961), Thin Walled elastic beams, NSF, 2nd ed.
  27. Yang, Y.B. (1984), "Linear and nonlinear analysis of space frames with nonuniform torsion using interactive computer graphics", Ph. D. Cornell U., Ithaca, Y.
  28. Young, B. W. and Robinson, K. W. (1975), "Buckling of axially loaded welded steel columns", The Structural Engineer, 53(5), May, 203-207.
  29. MACSYMA Group (1988), The MACSYMA reference manual, Symbolics, Inc., Eleven Cambridge Center, Cambridge, MA 02142.

Cited by

  1. Buckling analysis of non-prismatic columns based on modified vibration modes vol.13, pp.8, 2008, https://doi.org/10.1016/j.cnsns.2006.09.009
  2. A tapered Timoshenko–Euler beam element for analysis of steel portal frames vol.58, pp.12, 2002, https://doi.org/10.1016/S0143-974X(02)00003-2
  3. Inelastic local buckling of flat, thin-walled structures containing thickness-tapered plates vol.42, pp.3, 2004, https://doi.org/10.1016/j.tws.2003.09.002
  4. Stability problems analysed by finite element and boundary element techniques — A bibliography (1994–1996) vol.26, pp.4, 1997, https://doi.org/10.1016/S0168-874X(96)00089-3
  5. Effects of shear deformation on the effective length of tapered columns with I-section for steel portal frames vol.10, pp.5, 2000, https://doi.org/10.12989/sem.2000.10.5.479