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Stress Analysis of Circular Frames in a Non-tapering Fuselage

Published online by Cambridge University Press:  28 July 2016

K. J. Dallison*
Affiliation:
Stress Office, Handley Page Ltd.

Summary

The problem of the stress analysis of circular fuselage frames has been investigated by a number of authors; the analyses are, necessarily, rather mathematical in nature although in some cases the final results have been presented in extremely practical form. The present paper offers, in non-mathematical language, a short account of the fundamentals of the problem and a brief guide to the more important published literature. It also develops an approximate method for the analysis of frames using Lagrange's method for minimising a function of several inter-dependent variables. This method is shown to be particularly suitable for the analysis of frames with large cut-outs, about which little has previously been published. In addition, the underlying parameters which determine the stress distribution are deduced from the theory, and the deductions are compared with previously published work. In general, agreement is good. The paper is written throughout with a view to being of practical use in the actual stressing of frames. Numerical examples and explanations of mathematical methods are included in Appendices.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1953

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References

1. Wignot, J. E., Combs, H. S., and Ensrud, A. F. (1944). Analysis of Circular Shell-suppported Frames. N.A.C.A. T.N. 929, 1944.Google Scholar
2. Hoff, N. J. (1944). Stresses in a Reinforced Monocoque Cylinder under Concentrated Symmetric Transverse Loads. Journal of Applied Mechanics, Vol. II, No. 4, Dec. 1944.Google Scholar
3. Hoff, N. J. (1947). Thin-walled Monocoques. Anglo-American Aeronautical Conference, Sept. 1947, pp. 313362. The Royal Aeronautical Society.Google Scholar
4. Hoff, N. J., Boley, B. A., and Salerno, V. L. (1948). Shear Stress Concentration and Moment Reduction Factors for Reinforced Monocoque Cylinders subjected to Concentrated Radial Loads. Institute of Aeronautical Sciences, Preprint No. 151, July 1948.Google Scholar
5. Beskin, L. (1946). Local Stress Distribution in Cylindrical Shells. Journal of Applied Mechanics, June 1946.Google Scholar
6. Duberg, J. E., and Kempner, J. (1947). Stress Analysis by Recurrence Formula of Reinforced Circular Cylinders under Lateral Loads. N.A.C.A. T.N. 1219, 1947.Google Scholar
7. Kempner, J. and Duberg, J. E. (1947). Charts for Stress Analysis of Reinforced Circular Cylinders under Lateral Loads. N.A.C.A. T.N. 1310, 1947.Google Scholar
8. Goodey, W. J. (1946). The Stresses in a Circular Fuselage. Journal of the Royal Aeronautical Society, November 1946.Google Scholar
9. Wise, J. A. (1939). Analysis of Circular Rings for Monocoque Fuselages. Journal of the Aeronautical Sciences, September 1939.CrossRefGoogle Scholar
10. Taylor, J. S. and Gill, G. S. (1948). Analysis of a Circular Ring with Propped Floor Beam. Journal of the Aeronautical Sciences. April 1948.Google Scholar
11. Lewis, S. R. (1950). Diffusion of Loads in Non-rigid Circular Frames. College of Aeronautics Report No. 33, February 1950.Google Scholar
12. Langhaar, H. L. and Smith, C. R. (1947). Stresses in Cylindrical Semi-monocoque Open Beams. Journal of the Aeronautical Sciences, April 1947.Google Scholar
13. Morse, W. L. (1952). Analysis of Fuselage Frames. Aircraft Engineering, February 1952.Google Scholar
14. Crout, P. D. (1941). A Short Method of Evaluating Determinants and Solving Systems of Linear Equations with Real or Complex Coefficients. Supplement to Electrical Engineering Transactions, A.I.E.E., Vol. 60, Dec. 1941. (Abridged as Marchant Method MM182, Sept. 1941, Marchant Calculating Co., Oakland, California.)Google Scholar