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A Finite Series Solution for Grillages under Normal Loading

Published online by Cambridge University Press:  07 June 2016

D. F. Holman*
Affiliation:
Naval Construction Research Establishment
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Summary

A method has been given by Klitchieff for analysis of grillages of intersecting beams under lateral loading. Klitchieff's solution was in the form of infinite Fourier series and the expressions for bending moments converged approximately as Σ n–2, making numerical computation difficult. This paper shows that, for grillages in which one set of beams are evenly spaced, Klitchieff’s solution can be adapted to give finite series for deflections arid bending moments at the intersections of the beams. The number of terms in the series is not greater than the number of beams in the equally spaced set (referred to in this paper as set “ A ”). A numerical example is given and an accurate solution is obtained with appreciably less computation than other known methods would entail.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1957

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References

1. Klitchieff, J. M. Beams on Elastic Supports and on Cross Girders. The Aeronautical Quarterly, Vol. II, pp. 15766, November 1950.Google Scholar
2. Klitchieff, J. M. Beams on Cross Girders with Clamped Ends. The Aeronautical Quarterly, Vol. Ill, pp. 2307, November 1951.CrossRefGoogle Scholar