TECHNICAL PAPERS
Jul 1, 1997

Elastic and Inelastic Buckling Analysis of Thin-Walled Tapered Members

Publication: Journal of Engineering Mechanics
Volume 123, Issue 7

Abstract

Stiffness matrices for geometric nonlinear analysis of thin-walled tapered members, applicable to large displacement problems, are derived and incorporated into a finite-element program. Based on the assumptions of Vlasov, the stiffness coefficients are obtained from the total potential energy expression by using the artificial intelligent symbolic package MACSYMA. For illustrative purposes elastic and inelastic buckling analyses are carried out on various single-member structures and on a planar frame. Results are compared with those obtained by existing approaches.

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References

1.
American Institute of Steel Construction (AISC) Inc. (1986). Manual of steel construction—load & resistance factor design, 1st Ed., Chicago, Ill.
2.
Amirikian, A.(1952). “Wedge-beam framing.”Trans., ASCE, 117, 596.
3.
Argyris, J. H., Dunne, P. C., Malejannakis, G. A., and Scharpf, D. W. (1978). “On large displacement—small strain analysis of structures with rotational degrees of freedom.”CMAME, 14, 401–451; 15, 99–135.
4.
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.”CMAME, 20, 105–131.
5.
Barsoum, R. S., and Gallagher, R. H.(1970). “Finite element analysis of torsional and torsional-flexural stability problems.”IJNME, 2, 335–352.
6.
Bazant, Z. P., and Cedolin, L. (1991). Stability of structures. Oxford University Press, New York, N.Y.
7.
Bazant, Z. P., and Nimeiri, M. E.(1973). “Large-deflection spatial buckling of thin-walled beams and frames.”J. Struct. Div., ASCE, 99(12), 1259–1281.
8.
Boley, B. A. (1963). “On the accuracy of the Bernoulli-Euler theory for beams of variable section.”J. Appl. Mech., (Sept.), 373–378.
9.
Bradford, M. A.(1988). “Stability of tapered I-beams.”J. Constr. Steel Res., 9, 195–216.
10.
Bradford, M. A. (1989). “Inelastic buckling of tapered monosymmetric I-beams.”Engrg. Struct., 11(Apr.), 119–126.
11.
Bradford, M. A., and Cuk, P. E.(1988). “Elastic buckling of tapered monosymmetric I-beams.”J. Struct. Engrg., ASCE, 114(5), 977–996.
12.
Brown, T. G.(1981). “Lateral-torsional buckling of tapered I-beams.”J. Struct. Div., ASCE, 107(4), 689–697.
13.
Chan, S. L.(1990). “Buckling analysis of structures composed of tapered members.”J. Struct. Engrg., ASCE, 116(7), 1893–1906.
14.
Chan, S. L., and Kitipornchai, S. (1987). “Geometric nonlinear analysis of asymmetric thin-walled beam-columns.”Engrg. Struct., 9(Oct.), 243–254.
15.
Chen, W. F., and Atsuta, T. (1977). Theory of beam-columns. McGraw-Hill Inc., New York, N.Y., Vol. 2.
16.
Chong, K. P., and Swanson, W. D.(1976). “Shear analysis of tapered beams.”J. Struct. Div., ASCE, 102(9), 1781–1788.
17.
Culver, C. G., and Preg, S. M.(1968). “Elastic stability of tapered beam-columns.”J. Struct. Div., ASCE, 94(2), 455–470.
18.
Elias, Z. (1986). Theory and methods of structural analysis. John Wiley & Sons, Inc., New York, N.Y.
19.
Fukumoto, Y., and Galambos, T. V.(1966). “Inelastic lateral-torsional buckling of beam-columns.”J. Struct. Div., ASCE, 92(2), 41–61.
20.
Garth-Smith, W.(1988). “Analytical solutions for tapered column buckling.”Comp. and Struct., 28(5), 677–681.
21.
Kim, M. C. (1992). “Elastic and inelastic buckling analysis of tapered members with accumulated strain,” PhD dissertation, Facu. of the Grad. School, State Univ. of New York at Buffalo, Buffalo, N.Y.
22.
Kitipornchai, S., and Trahair, N. S.(1972). “Elastic stability of tapered I-beams.”J. Struct. Div., ASCE, 98(3), 713–727.
23.
Kitipornchai, S., and Trahair, N. S.(1975a). “Inelastic buckling of simply supported steel I-beams.”J. Struct. Div., ASCE, 101(7), 1333–1347.
24.
Kitipornchai, S., and Trahair, N. S.(1975b). “Elastic behavior of tapered monosymmetric I-beams.”J. Struct. Div., ASCE, 101(8), 1661–1678.
25.
Langhaar, H. L.(1953). “On torsional-flexural buckling of columns.”J. Franklin Inst., 2, 101–112.
26.
Lee, G. C., Fine, D. S., and Hastreiter, W. R.(1967). “Inelastic torsional buckling of H-columns.”J. Struct. Div., ASCE, 93(5), 295–307.
27.
Lee, G. C., Ketter, R. L., and Hsu, T. L. (1981). Design of single story rigid frames. Metal Building Manufacturers Association, Cleveland, Ohio.
28.
Lee, G. C., and Morrell, M. L. (1974). “Allowable stress for web-tapered beams with lateral restraints.”WRC Bull., (192), 1–12.
29.
Lee, G. C., and Morrell, M. L. (1975). “Application of AISC design provision for tapered members.”Engrg. J., (1st Quarter), 1–13.
30.
Lee, G. C., Morrell, M. L., and Ketter, R. L. (1972). “Design of tapered members.”WRC Bull., (173).
31.
Lee, G. C., and Szabo, B. A. (1967). “Torsional response of tapered I-girders.”J. Struct. Div., ASCE, 93(Oct.), 233–252.
32.
Lee, L. H. N. (1956). “Non-uniform torsion of tapered I-beams.”J. Franklin Inst., (Jul.), 37–44.
33.
Lee, L. H. N. (1959). “On the lateral buckling of a tapered narrow rectangular beam.”J. Appl. Mech., (Sept.), 457–458.
34.
Nethercot, D. A.(1974). “Residual stresses and their influence upon the lateral buckling of rolled steel beams.”The Struct. Engr., London, England, 52(3), 89–96.
35.
Rajasekaran, S., and Murray, D. W.(1973). “Finite element solution of inelastic beam equations.”J. Struct. Div., ASCE, 99(6), 1025–1041.
36.
Shiomi, H., and Kurata, M.(1983). “Strength formula for tapered beam-columns.”J. Struct. Engrg., ASCE, 110(7), 1630–1643.
37.
Symbolics, Inc. (1988). MACSYMA reference manual, Version 13, Burlington, Mass.
38.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGraw-Hill Inc., New York, N.Y.
39.
Vlasov, V. Z. (1961). Thin walled elastic beams, 2nd Ed., NSF.
40.
Wekezer, J. W.(1985). “Instability of thin walled bars.”J. Struct. Engrg., ASCE, 111(7), 923–935.
41.
Yang, Y. B. (1984). “Linear and nonlinear analysis of space frames with nonuniform torsion using interactive computer graphics,” PhD thesis, Cornell Univ., Ithaca, N.Y.
42.
Yang, Y. B., and Kuo, S. R.(1991). “Consistent frame buckling analysis by finite element method.”J. Struct. Engrg., ASCE, 117(4), 1053–1069.
43.
Yang, Y. B., and McGuire, W.(1986a). “Stiffness matrix for geometric nonlinear analysis.”J. Struct. Engrg., ASCE, 112(4), 853–877.
44.
Yang, Y. B., and McGuire, W.(1986b). “Joint rotation and geometric nonlinear analysis.”J. Struct. Engrg., ASCE, 112(4), 879–905.
45.
Young, B. W., and Robinson, K. W.(1975). “Buckling of axially loaded welded steel columns.”The Struct. Engr., London, England, 53(5), 203–207.
46.
Ziegler, H. (1977). Principle of structural stability, 2nd Ed., Berghauser Verlag, Bagel und Stuttgart.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 123Issue 7July 1997
Pages: 727 - 737

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Published online: Jul 1, 1997
Published in print: Jul 1997

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Authors

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M. C. Kim
Grad. Res. Asst., Dept. of Civ. Engrg., State Univ. of New York at Buffalo, Buffalo, NY 14260.
K. C. Chang, Member, ASCE,
Prof., Dept. of Civ. Engrg., National Taiwan Univ., Taipei, Taiwan.
G. C. Lee, Life Member, ASCE
Prof. and Dir., Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York at Buffalo, 429 Bell Hall, Buffalo, NY.

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