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A Relaxation Method for the Solution of Four Boom Single Cell Tubes Under Torsion with Restrained Warping

Published online by Cambridge University Press:  04 July 2016

G. B. Bolland*
Affiliation:
Department of Aeronautical Engineering, Lanchester College of Technology, Coventry

Extract

Although in recent years aircraft structures have tended to become rather complex, it is still possible in many cases to approximate the structure to a single cell tube with four corner booms during the initial design stages. Since extreme accuracy in computation is neither possible nor desirable in the early stages of design, the analysis has been restricted to structures with bulkheads which may be considered to be rigid in their own plane, although the effect of bulkhead flexibility can readily be included if thought to be of importance.

This note is concerned with the solution of the warping constraint problem for such structures without the necessity of solving a large number of linear simultaneous equations. The method is very similar to the Moment Distribution Method for continuous beams.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1962

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References

1. Kuhn, P. (1956). Stresses in Aircraft and Shell Structures. McGraw-Hill Book Company, 1956.Google Scholar
2. Williamson, R. A. (1948). Torsion-Bending Stresses in Box Beams. Journal of the Aeronautical Sciences, Vol. 15, No. 7, July 1948.Google Scholar
3. Kuhn, P. (1942). A Method of Calculating Bending Stresses Due to Torsion. N.A.C.A. Restricted Report No. 231, Dec ember 1942.Google Scholar