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Elastic stability of pierced square plates

Ritz energy procedure is applied to determine the critical edge displacement of a simply supported pierced plate under uniform edge displacements

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Abstract

The Ritz energy method is employed for the determination of the critical edge displacement of a simply supported square plate with a circular central hole subjected to uniform edge displacements. Displacement functions assumed for the three components of middle surface displacements are studied for hole diameters varying up to three-tenths of the plate dimension. The importance of singular terms is investigated and an approximate conversion is made from critical displacements to critical loads. The experimentally determined buckling load, defined as the inflection point on the load-deflection curve, verifies the theoretical predictions.

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References

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Authors and Affiliations

  1. University of Wisconsin, Madison, Wis.

    A. L. Schlack Jr. (Assistant Professor of Engineering Mechanics)

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  1. A. L. Schlack Jr.
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This paper is based on a thesis presented to the Department of Engineering Mechanics of the University of Wisconsin in partial fulfillment of the requirements of the degree of Doctor of Philosophy.

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Schlack, A.L. Elastic stability of pierced square plates. Experimental Mechanics 4, 167–172 (1964). https://doi.org/10.1007/BF02329634

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  • DOI: https://doi.org/10.1007/BF02329634

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