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Beams on elastic supports and on cross-girders

Published online by Cambridge University Press:  07 June 2016

J. M. Klitchieff
J. M. Klitchieff*
Affiliation:
The Technical University, Belgrade
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Summary

The beam on elastic supports is often considered as a beam on a continuous elastic medium. This method can be applied only to a large number of equally spaced supports having equal rigidities. The method proposed by the author, giving the solution in the form of rapidly converging series, is not bound by this restriction, and when applied to the problem of beams supported by cross-girders reduces it to a system of linear equations, their number being equal to the number of cross-girders, while the existing approximate method leads to the same number of simultaneous differential equations.

Type
Research Article
Information
Aeronautical Quarterly , Volume 2 , Issue 3 , November 1950 , pp. 157 - 166
Copyright
Copyright © Royal Aeronautical Society. 1950

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References

1. Klitchieff, J. M. (1949). On the Stability of Plates Reinforced by Ribs. Journal of Applied Mechanics, Vol. 16, p. 74, 1949.CrossRefGoogle Scholar
2. Boobnov, I. G. (1914). Theory of Structure of Ships, Vol. 2, p. 395, St. Petersburg, 1914.Google Scholar