The deflection w of a clamped circular membrane of radius r d subjected to pressure P is given by (small deformation theory)

where r is the radial coordinate, and K = Et3/12(1 €“ v2), where E, t, and u are the elastic modulus, thickness, and Poisson's ratio of the membrane, respectively. Consider a membrane with P = 15 psi, rd = 15 in., E = 18 × 106 psi, t = 0.08 in., and u = 0.3. Make a surface plot of the membrane.

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