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Dec 1, 2007

Three Hundred Years of Bar Theory

Publication: Journal of Structural Engineering
Volume 133, Issue 12
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Acknowledgments

The writer is indebted to Cindy Sopher, Joseph Snyders, and Dr. Irving U. Ojalvo who gave generously of their time and talents toward the task of shepherding this document through the publication process. The advice, criticism and encouragement supplied by Dr. I. U. Ojalvo when the need to settle the Wagner hypothesis question was not a high-priority item is also greatly appreciated.

References

Bleich, H. H. (1953). “Refinement of the theory of torsional buckling of thin-walled columns.” Proc., 1st Midwestern Conf., Solid Mechanics, Urbana, Ill.
Goodier, J. N. (1950). “Elastic torsion in the presence of initial axial stress.” J. Appl. Mech., 383–387.
Lenz, J., and Vielsack, P. (1980). “Eine kritische Bemerkung zur Theorie des Drillknickens.” A critical remark on the theory of torsional buckling, Der Stahlbau.
Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity, Dover, New York.
Michell, A. G. M. (1899). “Elastic stability of long beams under transverse forces.” Philos. Mag., 48, 298.
Ojalvo, M. (1981). “The Wagner hypothesis in beam and column theory.” J. Engrg. Mech. Div., 107(4), 669–677.
Ojalvo, M. (1989). “The buckling strength of thin-walled open-profile bars.” J. Appl. Mech., 633–638.
Ojalvo, M. (1990). Thin-walled bars with open profiles, The Olive Press, Estes Park, Colo.
Ojalvo, M. (2002). “Towards resolving issues concerning torsional and lateral-torsional buckling of thin-walled open-profile bars.” Proc., 15th ASCE Engineering Mechanics Conf., ASCE, New York.
Prandtl, L. (1899). “Kipperscheinungen.” dissertation, Nuremberg.
Timoshenko, S. (1968). As I remember, R. Addis, translater, Van Nostrand.
Vlasov, V. Z. (1961). Thin-walled elastic beams, 2nd Ed., 464, 465.
Wagner, H. (1929). “Verdrehung und Knickung con offenen Profilen.” 25th Anniversary Number of the Technische Hochschule, Danzig, Vol. 1904–1929, 329–343.
Wagner, H. (1936). “Torsion and buckling of open sections.” Technical Memorandum No. 807, National Advisory Committee for Aeronautics.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 133Issue 12December 2007
Pages: 1686 - 1689

History

Published online: Dec 1, 2007
Published in print: Dec 2007

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Morris Ojalvo
Professor Emeritus, The Ohio State Univ., Columbus, Ohio. E-mail: [email protected]

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