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SOLVED:A rectangular plate, simply supported on all the edges, is subjected to a distributed transverse load of p(x, y)=p0 sin(πr)/(a) sin(πy)/(b) where a and b are the dimensions of the plate (Figure 10.23). (a) Verify that the displacement solution w(x ·y)=c sin(πx)/(a) sin(πy)/(b) where c=(p0)/(π^+ D[(1)/(a^2)+(1)/(b^2)]^2) satisfies the equilibriun equation and the bonndary conditions. (b) Using the solution of Eq. (E1). find exprressions for the moments and reactions in the plate.
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