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The flexibility matrix for an “exact” torsion-bending finite element

Published online by Cambridge University Press:  04 July 2016

G. B. Bolland
G. B. Bolland*
Affiliation:
Department of Mechanical Engineering, Lanchester Polytechnic
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Extract

A finite element which allowed warping constraint effects in open tubes to be taken into account was developed in Ref. 3. Because of the assumption of linear variation of the warping constraint direct stresses along the length of the element its flexibility matrix was very simple, but approximate.

In this note the flexibility matrix for an “exact” element is derived which will give results which coincide exactly with those obtained from the theory given in Ref. 1. It is assumed that the applied torque and cross-sectional properties do not vary along the length of a given element, but variation from element to element is, of course, possible.

Type
Technical notes
Information
The Aeronautical Journal , Volume 76 , Issue 742 , October 1972 , pp. 613 - 615
Copyright
Copyright © Royal Aeronautical Society 1972 

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References

1. Argyris, J. H. The Open Tube. Aircraft Engineering. April 1954.Google Scholar
2. Argyris, J. H. and Kelsey, S. Energy Theorems and Structural Analysis. Aircraft Engineering. October 1954-May 1955.Google Scholar
3. Bolland, G. B. A Finite Element for Torsion of Thin Walled Open Tubes. The Aeronautical Journal of the Royal Aeronautical Society. April 1971.Google Scholar