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Stress Analysis of Aircraft Frameworks

Published online by Cambridge University Press:  28 July 2016

N. J. Hoff
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Summary

It is shown that the calculation of the critical loads of a plane framework is superfluous if the bending moments in the bars due to external moments and to lateral loads are determined by the Hardy Cross moment distribution method as extended by James. Convergence of this method is a proof of the stability of the framework. In Section 1 methods of determining stresses and critical loads in frameworks are discussed. Section 2 deals with the distortion patterns of beam columns on several supports below and above the critical loads. In Section 3 the method of proof of the convergence is outlined, and regular and particular cases are discussed with the aid of numerical examples. The final proof is given in Section 4.

Type
Research Article
Information
The Aeronautical Journal , Volume 45 , Issue 367 , July 1941 , pp. 241 - 262
Copyright
Copyright © Royal Aeronautical Society 1941

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References

1. Borkmann, K. Charts for Checking the Stability of Compression Members in Trusses, N.A.C.A. Technical Memorandum No. 800, July, 1936. Charts for Checking the Stability of Plane Systems of Rods, N.A.C.A. Technical Memorandum No. 837, September, 1937.Google Scholar
2. Cross, Hardy. Analysis of Continuous Frames by Distributing Fixed End Moments, Proc. A.S.C.E., Part I, Vol. 56, No. 5, page 919, May, 1930, and Trans. A.S.C.E., Vol. 96, page 1, Paper No. 1793, 1932.Google Scholar
3. Hoff, N. J. Elastically Encastred Struts, Journal of The Royal Aeronautical Society, Vol. XL, No. 309, page 663, September, 1936.Google Scholar
4. Hoff, N. J. Instability of Aircraft Frameworks, paper read before the 2nd Annual Summer Meeting of the Institute of the Aeronautical Sciences a t Pasadena, June 24th, 1940.Google Scholar
5. Hoff, N. J. Stable and Unstable Equilibrium of Plane Frameworks, Journal of the Aeronautical Sciences, Vol. 8, No. 3, page 115, January, 1941.Google Scholar
6. James, B. W. Principal Effects of Axial Load on Moment Distribution Analysis of Rigid Structures, Thesis, Stanford University, 1933, and N.A.C.A. Technical Note No. 534, 1935.Google Scholar
7. Kármán, Th. von. Unterstichungen ueber Knickfestigkeit, Mitteilungen ueber Forschungsarbeiten, Heft 81, V.D.I., Berlin, 1910.Google Scholar
8. Lundquist, E. E. Stability of Structural Members Under Axial Load, N.A.C.A. Technical Note No. 617, 1937.Google Scholar
9. Lundquist, E. E. , and Kroll, W. D. Tables of Stiffness and Carry-Over Factor for Structural Members Under Axial Load, N.A.C.A. Technical Note No. 652, 1938.Google Scholar
10. Mises, R. von. Über die Stabilitätsprobleme der Elastizitätstheorie, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 3, No. 6, page 406, December, 1923.Google Scholar
Mises, R. von, and Ratzersdorfer, J. Die Knicksicherheit von Fachwerken, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 5, No. 3, page 218, June, 1925.Google Scholar
Mises, R. von, and Ratzersdorfer, J. Die Knicksicherheit von Rahmentragwerken, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 6, No. 3, page 181, June, 1926.Google Scholar
11. Niles, A. S., and Newell, J. S. Airplane Structures, John Wiley & Sons, New York, 1938,(Second Edition.)Google Scholar
12. Oldenburger, Rufus. Convergence of Hardy Cross's Balancing Process, paper presented at the National Meeting of the Applied Mechanics Division of the American Society of Mechanical Engineers at Ann Arbor, Michigan, June 20–21, 1940.Google Scholar
13. Osgood, William R. Column Strength of Tubes Elastically Restrained Against Rotation at the Ends, National Advisory Committee for Aeronautics, Report No. 615, 1938.Google Scholar
14. Pippard, A. J. S. Strain Energy Methods of Stress Analaysis, Longmans, Green & Co., London.Google Scholar
15. Pippard, A. J. S., and Pritchard, J. L. Aeroplane Structures, Longmanns, Green & Co., London, 1935.Google Scholar
16. Prager, W. Elastic Stability of Plane Frameworks, Journal of the Aeronautical Sciences, Vol. 3, No. 11, page 388, September, 1936.Google Scholar
17. Southwell, R. V. An Introduction to the Theory of Elasticity for Engineers and Physicists, Clarendon Press, Oxford, 1936.Google Scholar
18. Teichmann, A. Spatial Buckling of Various Types of Airplane Strut Systems, N.A.C.A. Technical Memorandum No. 647, November, 1931.Google Scholar
19. Timoshenko, S. Theory of Elasticity, McGraw-Hill, New York, 1934.Google Scholar
20. Timoshenko, S. Theory of Elastic Stability, McGraw-Hill, New York, 1936.Google Scholar
21. Williams, H. A. The Hardy Cross Method of Determining Moments in Statically Indeterminate Structures, Thesis; Stanford University, 1933, and Trans. A.S.M.E. Vol. 56, page 305, May, 1934.Google Scholar