TECHNICAL NOTES
Jan 1, 1987
Optimum Location of an Interior Hinge on a Column
Author: C. Y. WangAuthor Affiliations
Publication: Journal of Structural Engineering
Volume 113, Issue 1
Abstract
The buckling of a column, clamped at both ends and with an interior hinge is studied. It is shown that the buckling load of a column with an interior hinge depends on the location of the hinge. The optimum location of a hinge (for maximum buckling strength) is 21.9% of the total length from one end for a clamped-clamped column (a decrease of only 11% from the no-hinge load). For a clamped-pinned column, the optimal hinge location is 30.1% from the clamped end without any decrease in buckling load.
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References
1.
Banichuk, N. V., and Karihaloo, B. L., “On the solution of optimization with singularities.” Int. J. Solids Structures, Vol. 13, 1977, 725–733.
2.
Olhoff, N., and Niordson, F. I., “Some problems concerning singularities of optimal beams and columns.” Zeit. Angew. Math. Mech., Vol. 59, 1979, T16–T26.
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Sawyer, D. A., “Various instability modes of the fixed base column.” J. of the Structural Div., ASCE, Vol. 86, ST7, 1960, 61–79.
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Timoshenko, S. P., and Gere, J. M., Theory of elastic stability. McGraw‐Hill, N.Y., 1964, Chap. 2.
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Copyright © 1987 ASCE.
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Published online: Jan 1, 1987
Published in print: Jan 1987
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Authors
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C. Y. Wang
Prof., Michigan State Univ., East Lansing, MI 48824; formerly Inst. Applied Mechanics, Taiwan Univ.
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