Calculate the minimum thickness, Mechanical Engineering

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A circular thin steel diaphragm having an effective diameter of 20mm is clamped around its periphery and is subjected to a uniform gas pressure of 180kN/m^2.

Calculate the minimum thickness for the diaphragm if the deflection at the centre is not to exceed 0.5mm.

E= 208GN/m^2, v =0.287,

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