5) Consider a rectangular plate with two opposite sides (x = 0 and x = a) simply supported; the third edge (y = 0) is built-in, and the fourth edge (y= b) is free. The plate is subjected to a uniform pressure of intensity po. a) Retaining only the first three terms of the Levy's solution", determine the deflection at the midpoint of the free edges and the bending moments at the midpoint of the clamped edge. Ty b) Find the maximum values of stresses , and o, at the center of the plate? (Take a = 2m; b=3:5m, h=0:15m; E = 210 GPa; v = 0:3 for numerical results.) *While Navier's solution is double series solution which may not be preferred due to slow convergence of the series, Levy's solution is single Fourier series solution to rectangular plates with easier numerical calculations. Levy suggested that the solution of the non-homogenous biharmonic governing plate equation can be expressed in terms of complementary Wh and particular Wp, each of which consists of a single Fourier series where the unknown functions are determined from the prescribed boundary conditions. w=w, +w, W, = fm (y)sin 8(y)sin M-1 a W = d