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maximum displacement for a circular plate calculated from ansys differ with the theoretical value

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winterfell99

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May 14, 2013
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For a circular plate(20mm diameter and 2mm thickness) with clamped edge and a load of 50000Pa applied to the front face; The maximum displacement calculated using Ansys differ from the maximum displacement calculated using the formula w(r)=pa^4/64D*(1-r^2/a^2).
I used the default settings in Ansys mechanical to generate a simple mesh.

PS I am just starting to learn Ansys and FEM. I'd really appreciate any help.
 
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