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Correlation Between some Stability Problems for Orthotropic and Isotropic Plates under Bi-Axial and Uni-Axial Direct Stress

Published online by Cambridge University Press:  07 June 2016

W. H. Wittrick
W. H. Wittrick*
Affiliation:
Department of Aeronautical Engineering, University of Sydney
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Summary

Four buckling problems are considered, namely: —

  • (a) A rectangular orthotropic plate, with all edges simply supported, subjected to compression on its ends and a known compression or tension on its sides;

  • (b) the same as (a) but with the ends clamped and sides simply supported;

  • (c) a rectangular orthotropic plate, with the ends simply supported and sides clamped, subjected to compression on its ends; and

  • (d) the same as (c) but with all edges clamped.

In each case it is shown that the variables involved can all be combined into such a non-dimensional form that a single curve serves to give the value of the end compression required to cause buckling. This curve is identical with the curve of buckling stress coefficient against side ratio for a corresponding isotropic plate under uni-axial compression.

Type
Research Article
Information
Aeronautical Quarterly , Volume 4 , Issue 1 , February 1954 , pp. 83 - 92
Copyright
Copyright © Royal Aeronautical Society. 1954

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References

1. Smith, R. C. T. (1944). The Buckling of Flat Plywood Plates in Compression. Australian Report ACA-12, 1944.Google Scholar
2. Timoshenko, S. (1936). Theory of Elastic Stability. McGraw-Hill, 1936.Google Scholar