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Membrane analogy

It can be shown that the differential of the equation of the deflection surface of a homogeneous membrane, subjected to uniform lateral pressure and with uniform surface tension and with the same outline as that of the X-section of a bar under torsion, has the same form as that governing the stress distribution over the X-section of a bar under torsion.

\frac{p}{S} =  2G\frac{d\phi}{dz}  = 2G\theta

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Membrane_analogy". A list of authors is available in Wikipedia.
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