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Torsion of Tapered Tubes

Torsion of Tapered Tubes THE stiffness of an aeroplane wing is usually considered in terms of its torsional and llexural stiffnesses as measured at the midaileron and equivalent tip sections1, 2. It appears at present that the stiffness in torsion is more significant than that in flexure, partly because high torsional stiffness is necessary to prevent not only flutter but also reversal of aileron control and divergence1, 2, both of which are independent of llexural stiffness and partly because it is found in practice that when a wing is designed to meet minimum existing strength requirements alone, its torsional stiffness may be inadequate whereas its llexural stiffness is commonly sufficient. The more important of the two torsional stiffnesses midaileron and equivalenttip is that at the midaileron section. The present paper examines the effect of the various parameters on the torsional stiffness of a tapered rectangular tube of proportions representative of an aeroplane wing under a concentrated torque applied at a section equivalent to the average midaileron section. The analysis of the problem is based on the stress distribution in an axially constrained tapered tube given by Williams in R. & M. 17613, and the stiffness obtained is compared with that for a tube with the simple shear stress distribution of the BredtBatho type for a tube with free ends. The similar problem for a uniform tube has already been solved from the equations of reference 3 in R. & M. 17904. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Aircraft Engineering and Aerospace Technology Emerald Publishing

Torsion of Tapered Tubes

Hanson, J.
Aircraft Engineering and Aerospace Technology , Volume 11 (4): 16 – Apr 1, 1939
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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0002-2667
DOI
10.1108/eb030466
Publisher site
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Abstract

THE stiffness of an aeroplane wing is usually considered in terms of its torsional and llexural stiffnesses as measured at the midaileron and equivalent tip sections1, 2. It appears at present that the stiffness in torsion is more significant than that in flexure, partly because high torsional stiffness is necessary to prevent not only flutter but also reversal of aileron control and divergence1, 2, both of which are independent of llexural stiffness and partly because it is found in practice that when a wing is designed to meet minimum existing strength requirements alone, its torsional stiffness may be inadequate whereas its llexural stiffness is commonly sufficient. The more important of the two torsional stiffnesses midaileron and equivalenttip is that at the midaileron section. The present paper examines the effect of the various parameters on the torsional stiffness of a tapered rectangular tube of proportions representative of an aeroplane wing under a concentrated torque applied at a section equivalent to the average midaileron section. The analysis of the problem is based on the stress distribution in an axially constrained tapered tube given by Williams in R. & M. 17613, and the stiffness obtained is compared with that for a tube with the simple shear stress distribution of the BredtBatho type for a tube with free ends. The similar problem for a uniform tube has already been solved from the equations of reference 3 in R. & M. 17904.

Journal

Aircraft Engineering and Aerospace Technology – Emerald Publishing

Published: Apr 1, 1939

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