Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-05T14:51:11.355Z Has data issue: false hasContentIssue false
  • English
  • Français

Struts with Linearly Varying Axial Loading

Published online by Cambridge University Press:  07 June 2016

J. S. Przemieniecki
J. S. Przemieniecki*
Affiliation:
Bristol Aircraft Limited
Get access

Summary

Analytical solutions for the deflections and bending moments are derived for elastic struts with linearly varying axial loading applied either (a) along the undeformed straight strut axis or (b) at the strut axis in the deflected position. The instability of struts with various end conditions is discussed and the stability criteria are given as a series of curves relating the maximum compressive axial load with the maximum distributed loading. Furthermore, explicit formulae for the deflections and bending moment distributions have been compiled for several typical cases of lateral loading combined with the axial loading of the type (a), which is of some practical importance in aircraft structures. A numerical example is included to show the practical application of the general analysis to a typical strut problem.

Type
Research Article
Information
Aeronautical Quarterly , Volume 11 , Issue 1 , February 1960 , pp. 71 - 98
Copyright
Copyright © Royal Aeronautical Society. 1960

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Greenhill, A. G. On Height Consistent with Stability. Proceedings of Cambridge Philosophical Society, Vol. 4, 1881.Google Scholar
2. Bültmann, W. Die Knickfestigkeit des geraden Stabes mit veranderlicher Druckkraft. Der Stahlbau, Vol. 17, pp. 49–50, May 1944, and Vol. 20, pp. 50-52, April 1951.Google Scholar
3. Duncan, W. J. Multiply-Loaded and Continuously Loaded Struts. Engineering, Vol. 174, pp. 180–182, 202-203, August 1952.Google Scholar
4. Von Kármán, T. and biot, M. A. mathematical methods in engineering, Mcgraw-hill, 1st edition, p. 67, 1940.Google Scholar
5. Watson, G. N. Theory of Bessel Functions. Cambridge University Press, Table III, Functions of order one-third, pp. 714–729, 1922.Google Scholar
6. Karas, K. Tabellen für Besselsche funktionen erster und zweiter art mit den parametern v=±2/3, +1/4, ±3/4. zeitschrift für angewandte mathematik und mechanik, vol. 16, no. 4, pp. 248–252, august 1936.Google Scholar
7. Jeffreys, H. and Jeffreys, B. S. Methods of Mathematical Physics. Cambridge University Press, 2nd Edition, pp. 493–494, 1950.Google Scholar