Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-23T22:01:48.035Z Has data issue: false hasContentIssue false
  • English
  • Français

Analysis of beams subjected to large deflections

Published online by Cambridge University Press:  04 July 2016

J. Morgan
J. Morgan*
Affiliation:
Department of Civil Engineering and Building Science, University of Edinburgh
Get access Rights & Permissions [Opens in a new window]

Synopsis

The transfer matrix method of structural analysis is applied to the problem of beams subjected to large deflections by dividing the beam into a large number of uniform sections and applying elementary bending theory to each section. The solution using this method is compared with the theoretical solution of Bisshopp and Drucker for large deflections in uniform cantilever beams. The method has also been applied to uniform and tapered cantilever beams at various angles to the horizontal under vertical point loading and the results compared with experimental data obtained from laboratory measurements.

Type
Research Article
Information
The Aeronautical Journal , Volume 93 , Issue 929 , November 1989 , pp. 356 - 360
Copyright
Copyright © Royal Aeronautical Society 1989 

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. Bisshopp, K. E. and Drucker, D. C. Large deflections of cantilever beams. Q Appl Math, 1945, 3, 372–275.Google Scholar
2. Mitchell, T. P. The nonlinear bending of the thin rods, J Appl Mech, 1959, 26, 40–43.Google Scholar
3. Kemper, J. D. Large deflections of tapered cantilever beams, Int J Mech Sci, 1968, 10, 469–478.Google Scholar
4. Morgan, J. and Cannell, M. G. R. Structural analysis of tree trunks and branches: tapered cantilever beams subjected to large deflections under complex loading, Tree Physiol, 1987, 3, 365– 374.Google Scholar
5. Livesley, R. K. Matrix methods of structural analysis, Pergamon Press, 1964.Google Scholar
6. Tuma, J. J. Theory and problems of structural analysis. Schaum's outline series. McGraw-Hill, 1969.Google Scholar