A circular plate with its edges clamped carries distributed lateral load, whose intensity varies linearly with radius r, from zero at r = 0 to q at r = a. a. Derive the expressions for w = w(r). Also determine the center deflection.

b. Combine the answer of part (a) with one other case to obtain the center deflection due to distributed load that varies linearly with r, from q at r = 0

to zero at r = a