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Technical Briefs

Optimum Location of an Internal Hinge of a Uniform Column on an Elastic Foundation

[+] Author and Article Information
C. Y. Wang

Department of Mathematics, and Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Appl. Mech 75(3), 034501 (Apr 04, 2008) (4 pages) doi:10.1115/1.2839635 History: Received October 20, 2005; Revised April 18, 2006; Published April 04, 2008

The buckling of a column affected by both an internal hinge and an elastic foundation is studied analytically. It is found that the elastic foundation raises the buckling force, but nonlinearly. The optimum locations for the hinge are determined.

FIGURES IN THIS ARTICLE
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Copyright © 2008 by American Society of Mechanical Engineers
Topics: Force , Hinges , Buckling
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Figures

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Figure 1

Buckling force as a function of hinge location for the clamped-clamped case. The dashes lines show locus of maximum buckling forces and optimum locations. Typical buckling shapes are illustrated.

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Figure 2

The clamped-pinned case. Legend same as Fig. 1.

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Figure 3

The clamped-free case. Legend same as Fig. 1.

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Figure 4

The pinned-pinned case. Legend same as Fig. 1.

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Figure 5

The pinned-free case. Legend same as Fig. 1.

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Figure 6

The free-free case. Legend same as Fig. 1.

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