In classical plate theory, for a circular plate with radius a and thickness A, the governing equation can be written as d 1 2 - (+) (+)- dra r dr (1) where w is the vertical deflection, P is the applied uniform pressure, and D is the flexural rigidity which is given by Eh 12 (1-1 In the above equation, E is the modulus of elasticity, and is the Poisson's ratio. D= -2) 1. Find the general solution of the plate equation (Eq. (1)). 2. For a circular plate with clamped (fixed) edges, the boundary conditions are 1) at r = 0, 2) at r = a, 3) at r = a, 1) at r = 0, dw dr du dr W=0 2) at r = a, 3) at r = a, = 0 =