TECHNICAL PAPERS
Jul 1, 1989

Tapered Box Columns under Biaxial Loading

Publication: Journal of Structural Engineering
Volume 115, Issue 7

Abstract

The stability of symmetric pin‐ended square box column tapering from the mid‐length to the ends and subjected to the combined action of axial thrust and biaxial moments is investigated. Torsional‐flexural behavior is not considered. The tangent stiffness method is used to develop the moment‐curvature‐thrust relationships for the column cross section. The stability problem is transformed into a nonlinear programming problem and the ultimate load‐carrying capacity of the member is defined by extending Home's stability criterion. Due allowance is made to account for the effect of residual stresses and column initial deflections. Columns having positive and negative taper slopes are considered. The results are presented in the form of interaction diagrams.

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References

1.
Allen, H. G., and Bulson, P. S. (1980). Background to buckling. McGraw‐Hill, New York, N.Y., 148.
2.
Appl, F. M., and Smith, J. O. (1968). “Buckling of inelastic, tapered, pin‐ended colums.” J. Eng. Mech. Div., ASCE, 94(2), 549–558.
3.
Bleich, F. (1952). Buckling strength of metal structures. McGraw‐Hill, New York, N.Y., 186–192.
4.
Bulter, D. J., and Anderson, G. B. (1963). “The elastic buckling of tapered beamcolumns.” Welding J., 42(1), Res. Suppl., 29S–36S.
5.
Chen, W. F., and McGraw, J. (1977). “Analysis and design of HSS‐columns under biaxial bending.” Advance in Civil Engineering Through Engineering Mechanics, Proc. Second Annual Engrg. Mech. Div. Specialty Conf., Raleigh, N.C., ASCE, 568–571.
6.
Culver, C. G., and Preg, S. M., Jr. (1968). “Elastic stability of tapered beam‐columns.” J. Struct. Div., ASCE, 94(2), 455–470.
7.
Fogel, C. M., and Kciter, R. L. (1962). “Elastic strength of tapered columns.” J. Struct. Div., ASCE, 88(5), 67–106.
8.
Gere, J. M., and Carter, W. O. (1962). “Critical buckling loads for tapered columns.” J. Struct. Div., ASCE, 88(1), 1–11.
9.
Goldberg, J. E., Bogandoff, J. L., and Lo, H. (1957). “Inelastic buckling of nonuniform columns.” Trans., ASCE, 122, 722–730.
10.
Hauck, G. F., and Lee, S. L. (1963). “Stability of elasto‐plastic wide flange columns,” J. Struct. Div., ASCE, 89(6), 297–324.
11.
Head, M. C., and Aristizabal‐Ochoa, J. D. (1987). “Analysis of prismatic and linearly tapered reinforced concrete columns.” J. Struct. Engrg., ASCE, 113(3), 575–589.
12.
Horne, M. R. (1956). “Elastic‐plastic theory of compression members.” J. Mech. and Physics of Solids, 4, 104–120.
13.
Lin, K. H., Rossow, E. C., and Lee, S. L. (1968). “Inelastic stability of tapered wide‐flange columns.” Proc., Int. Assoc. for Bridge and Struct. Engrg., 28, Zurich, Switzerland, 113–136.
14.
Miesse, C. C. (1949). “Determination of the buckling load for columns of variable stiffness.” Trans., ASME, 71, 406–410.
15.
Pillai, S. U., and Ellis, J. S. (1971). “Hollow tubular beam‐columns in biaxial bending.” J. Struct. Div., ASCE, 97(5), 1399–1406.
16.
Razzaq, Z., and McVinnie, W. W. (1982). “Rectangular tubular steel columns loaded biaxially.” J. Struct. Mech., 10(4), 475–493.
17.
Shanmugam, N. E., Richard Liew, J. Y., and Lee, S. L. (1989). “Welded steel box‐columns under biaxial loadings.” Int. J. Constr. Steel Res.
18.
Santathadaporn, S., and Chen, W. F. (1972). “Tangent stiffness method for biaxial bending.” J. Struct. Div., ASCE, 98(1), 153–163.
19.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. 2nd Ed., McGraw‐Hill, New York, N.Y., 125–132.
20.
Zhou, S. P., and Chen, W. F. (1985). “Design criteria for box columns under biaxial loading.” J. Struct. Engrg., ASCE, 111(12), 2643–2658.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 115Issue 7July 1989
Pages: 1697 - 1710

History

Published online: Jul 1, 1989
Published in print: Jul 1989

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Authors

Affiliations

J. Y. Richard Liew
Sr. Tutor, Dept. of Civ. Engrg., Nat. Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 0511
N. E. Shanmugam, Member, ASCE
Sr. Lect., Dept. of Civ. Engrg., Nat. Univ. of Singapore, Singapore
S. L. Lee, Fellow, ASCE
Prof. and Head, Dept. of Civ. Engrg., Nat. Univ. of Singapore, Singapore

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