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Tube of Least Weight for Given Torsional Stiffness

Published online by Cambridge University Press:  28 July 2016

H. B. Howard
H. B. Howard*
Affiliation:
Ministry of Supply
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Extract

Consider a thin-walled tube fixed at one end and subject to torque of known distribution. The problem is to find how the thickness of the wall should vary along the length so that the weight is a minimum for a given angle of twist at the free end.

At distance x from the fixed end, let T be the applied torque, A the enclosed area of the tube, P its perimeter and y the wall thickness.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 57 , Issue 505 , January 1953 , pp. 45 - 46
Copyright
Copyright © Royal Aeronautical Society 1953

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