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The Centre of Shear for Sections Bounded by Two Circular Arcs

Published online by Cambridge University Press:  28 July 2016

L. G. Whitehead  and
L. A. McQuillin
L. G. Whitehead
Affiliation:
Aeronautical Engineering Department, Queen Mary College
L. A. McQuillin
Affiliation:
Aeronautical Engineering Department, Queen Mary College
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Extract

In two recent notes Jacobs and Duncan considered the St. Venant torsion and flexure problems for beams of aerofoil cross section and have given methods for determining the centre of shear once the torsion function for the section has been found. The purpose of the present note is to give results for the location of the centre of shear for a limited range of cross sections bounded by two circular arcs for which the torsion function has long been known. The calculations shed some light on the relative influence of camber and thickness on the location of the centre of shear and are compared with the well known results for thin circular arc sections illustrated in the Structural Data Sheet 00.06.04.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 58 , Issue 518 , February 1954 , pp. 138 - 139
Copyright
Copyright © Royal Aeronautical Society 1954

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References

1. Jacobs, J. A. (1953). The Centre of Shear of Aerofoil Sections. Journal of the Royal Aeronautical Society, April 1953, p . 235.Google Scholar
2. Duncan, W. J. (1953). The Flexural Centre or Centre of Shear. Journal of the Royal Aeronautical Society, September 1953, p . 594.Google Scholar
3. Larmor, J. (1892). The Influence of Flaws and Air Cavities on the Strength of Materials . Phil. Mag., Series 5, Vol. 33, p. 70.Google Scholar
4. Stevenson, A. C. (1939). Flexure with Shear and Associated Tors ion in Prisms of Uni-axial and Asymmetric Cross-Sections. Phil. Trans. Roy. Soc. A . , Vol . 237, p . 161.Google Scholar