Column Buckling Theory: Historic Highlights
Publication: Journal of Structural Engineering
Volume 109, Issue 9
Abstract
Historic highlights and milestones are presented to cover the development and application of the Euler formula for buckling strength of a geometrically perfect column together with modifications for inelastic behavior. The latter (nonlinear) behavior may be due either to inherent material properties, such as for a structural aluminum alloy, or due to the presence of residual stresses induced by cooling of hot‐rolled shapes. The story of the column formula has had continuity over a 239 year period and can well form the starring point toward a better understanding of the column buckling theory and design.
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References
1.
Basquin, O. H., “Tangent Modulus and the Strength of Steel Columns in Tests,” Building Standards Technical Paper No. 263, U.S. Bureau of Standards, Washington, D.C., Vol. 18, 1924.
2.
Batterman, R. H., and Johnston, B. G., “Behavior and Maximum Strength of Metal Columns,” Journal of the Structural Division, ASCE, Vol. 93, No. ST2, Apr., 1967, pp. 205–230.
3.
Beedle, L. S., and Tall, L., “Basic Column Strength,” Journal of the Structural Division, ASCE, Vol. 86, No. ST7, July, 1960, pp. 139–173.
4.
Bjorhovde, R., and Tall, L., “Development of Multiple Column Curves,” Proceedings, International Coloquium on Column Strength, International Association of Bridge and Structural Engineers, Vol. 23, Paris, France, 1975.
5.
Burr, W. H., “The Elasticity and Resistance of the Materials of Engineering,” 7th ed., John Wiley & Sons, Inc., New York, N.Y., 1915.
6.
Duberg, J. E., and Wilder, T. W., “Column Behavior in the Plastic Stress Range,” Journal of the Aeronautic Science, Vol. 17, No. 6, 1950.
7.
Griffith, J. H., and Bragg, J. G., “Tests of Large Bridge Columns,” Technical Paper No. 101, U.S. Bureau of Standards, Washington, D.C., June, 1918.
8.
“Guide to Design Criteria for Metal Compression Members,” Column Research Council, 1960.
9.
Howard, J. E., “Some Results of Tests of Steel Columns in Progress at the Watertown Arsenal,” Proceedings, American Society for Testing and Materials, Vol. 8, 1908, p. 336.
10.
Hutchinson, J. W., “Plastic Buckling,” Advances in Applied Mechanics, Vol. 14, Academic Press, New York, N.Y., 1974, pp. 67–144.
11.
Johnson, J. B., Bryan, C. W., and Turneaure, F. E., The Theory and Practice of Modern Framed Structures, 8th ed., John Wiley & Sons, Inc., New York, N.Y., 1905, p. 561.
12.
Johnston, B. G., “Buckling Behavior Above the Tangent Modulus Load,” Journal of the Engineering Mechanics Division, ASCE, Vol. 87, No. EM6, Dec., 1961, pp. 79–99.
13.
Johnston, B. G., “Inelastic Buckling Gradient,” Journal of the Engineering Mechanics Division, ASCE, Vol. 90, No. EM6, Dec., 1964, pp. 31–47.
14.
Johnston, B. G., ed., Guide to Stability Design Criteria for Metal Structures, 3rd ed., John Wiley & Sons, Inc., New York, N.Y., 1976.
15.
Lin, T. H., Theory of Inelastic Structures, John Wiley and Sons, Inc., New York, N.Y., 1968.
16.
Love, A. E. H., A Treatise on The Mathematical Theory of Elasticity, 4th ed., Cambridge University Press, Cambridge, England, 1927 (republished by Dover Press, 1944).
17.
Luxion, W. W., and Johnston, B. G., “Plastic Behavior of Wide Flange Beams,” Journal of the American Welding Society, Vol. 27, No. 11, Nov., 1948, Research Sup., p. 538s.
18.
Madsen, I., “Report of Crane Girder Tests,” Iron and Steel Engineer, Vol. 18, No. 11, (Nov. 1941), p. 47.
19.
Malvick, A. J., and Lee, L. H. N., “Buckling Behavior of an Inelastic Column,” Journal of the Engineering Mechanics Division, ASCE, Vol. 91, No. EM3, June, 1965, p. 113–127.
20.
Oldfather, W. A., Ellis, C. A., and Brown, D. M., Isis, Vol. XX, p. 1, Translation of Euler's 1744 book on “Methodus inveniendi linear curvas….”
21.
Osgood, W. R., “The Double Modulus Theory of Column Action,” Civil Engineering, Vol. 5, No. 3, Mar., 1935, p. 173.
22.
Osgood, W. R., “Residual Stresses in Columns,” Proceedings, First U.S. Congress of Applied Mechanics, Chicago, Ill., 1951.
23.
Ramberg, W., and Osgood, W. R., “Description of Stress‐Strain Curves by Three Parameters,” National Advisory Committee on Aeronautics, Technical Note No. 902, July, 1943.
24.
Salmon, E. H., Columns, H. Frowde, Hodder, and Stoughton, London, 1921, 279 pp.
25.
Shanley, F. R., “The Column Paradox,” Journal of Aeronautical Science, Vol. 13, No. 5, 1946, p. 678.
26.
Shanley, F. R., “Inelastic Column Theory,” Journal of Aeronautical Science, Vol. 14, No. 5, 1947, pp. 261–267.
27.
Templin, R. L., Sturm, R. G., Hartmann, E. C., and Holt, M., Technical Report No. 1, Aluminum Co. Research Labs, New Kensington, 1938.
28.
Timoshenko, S. P., History of Strength of Materials, McGraw‐Hill Book Co., Inc., New York, N.Y., 1953.
29.
Todhunter, I., and Pearson, K., A History of the Theory of Elasticity and of the Strength of Materials, Cambridge University Press, 1886–1893 (republished by Dover Publications, 1960), Cambridge, England.
30.
Van den Broek, J. A., Euler's Classic Paper “On the Strength of Columns,” Journal of Physics, Vol. 15, 1947, p. 309.
31.
Von Kármán, T., “Untersuchungen über Knickfestigkeit,” Forschungsarbeiten, Nr. 81, 1910.
32.
Wilson, W. M., and Brown, R. L., “The Effect of Residual Longitudinal Stresses on the Load Carrying Capacity of Steel Columns,” Engineering Bulletin No. 280, University of Illinois, Champaign, Ill., 1935.
33.
Yang, C. H., Beedle, L. S., and Johnston, B. G., “Residual Stress and the Yield Strength of Steel Beams,” Journal of the American Welding Society, Vol. 31, 1952, Research Sup., pp. 224–225.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 109 • Issue 9 • September 1983
Pages: 2086 - 2096
Copyright
Copyright © 1983 ASCE.
History
Published online: Sep 1, 1983
Published in print: Sep 1983
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