A 500-mm simply supported square aluminum panel of 20-mm thickness is...

A 500-mm simply supported square aluminum panel of 20-mm thickness is under uniform pressure p_o. For E = 70 GPa, v = 0.3, and = 240 MPa and taking into account only the first term of the series solution, calculate the limiting value of p_o that can be applied to the plate without causing yielding and the maximum deflection w that would be produced when p_o reaches its limiting value