Hopefully quick/easy question. I am modeling essentially a flat plate under pressure load in ANSYS with a large thermal change. With fixed or simple support at the outer edges, of course the thermal stresses are crazy high.(adsbygoogle = window.adsbygoogle || []).push({});

To try and get a better estimate of stresses without modeling the entire stucture, I'm trying to get a thermal radial deflection of the support structure. Assuming that it's a flat ring or thin shelled cylinder does anyone know of a formula for deflection?

I looked in Roarks and didn't find anything, and in Shigley's I found an equation for a flat plate with fixed supports at the end:

[tex] \sigma = \epsilon E = \frac{\alpha \Delta T E}{1 - \nu} [/tex]

[tex] \epsilon = \frac{\alpha \Delta T}{1 - \nu} [/tex]

But then I'm not sure if this applies for radial loads, and furthermore, I'm not sure what length (diameter, radius, etc) to use with strain to get actual deflection.

Thanks for the help,

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# Thermal Expansion of Ring

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