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Anticlastic curvature in anisotropic beams

Published online by Cambridge University Press:  04 July 2016

P. J. Banks
P. J. Banks*
Affiliation:
Department of Electrical and Control Engineering, Liverpool Polytechnic
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Extract

When a rectangular beam is bent by two end moments about a transverse axis, it is well known that an “anti-clastic” curvature about a longitudinal axis also tends to occur. The theory for this phenomenon in isotropic beams has been previously discussed. For some recent work on the elastic properties of oriented silicon-iron transformer sheet, which is not only anisotropic but also has a non-linear stress-strain curve due to magnetic domain effects, a theory for anticlastic bending was necessary. The experimental results are reported elsewhere, but the theory used for anticlastic bending may find wider application. An expression is derived for the effective Young's modulus for a wide sheet; and its significance is demonstrated for transformer sheets of different width, ignoring the magnetic effects.

Type
Technical Note
Information
The Aeronautical Journal , Volume 78 , Issue 767 , November 1974 , pp. 525 - 528
Copyright
Copyright © Royal Aeronautical Society 1974 

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