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Buckling of Isosceles Triangular Plates

Published online by Cambridge University Press:  04 July 2016

J. Lockwood Taylor
J. Lockwood Taylor*
Affiliation:
Technical University of Norway, Trondheim
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Extract

Application of a method suggested by my technical note on equilateral and semi-equilateral triangles has yielded values for the buckling coefficients for isosceles triangles which in some cases differ appreciably from those given on Data Sheet 02.04.06.

The technical note quoted gives exact solutions in the form of a terminating trigonometrical series. When the triangle becomes isosceles, the series no longer terminates, but the infinite series solution, on insertion of the boundary conditions, gives an infinite determinant for the buckling load or eigenvalue.

Evaluation of the determinant, or of a sufficient number of terms, was computed on a Univac 1107, with the following results, which have been converted to the notation of Data Sheet 02.04.06.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 73 , Issue 703 , July 1969 , pp. 604
Copyright
Copyright © Royal Aeronautical Society 1969 

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References

1. Lockwood Taylor, J. Buckling and Vibration of Triangular Flat Plates. Journal of the Royal Aeronautical Society, Vol 71, pp 727–728, October 1967.Google Scholar
2. Royal Aeronautical Society Data Sheet, Structures 02.04.06, May 1957.Google Scholar