Determine the nonlinear response of a clamped (all around its circumference) circular plate of radius a = 100 in, thickness h = 10 in, modulus E = 106 psi, Poisson’s ratio ν = 0.3, and subjected to...

Determine the nonlinear response of a clamped (all around its circumference) circular plate of radius a = 100 in, thickness h = 10 in, modulus E = 106 psi, Poisson’s ratio ν = 0.3, and subjected to uniformly distributed load of intensity q0. Use five quadratic elements, Newton’s iteration scheme, error tolerance of = 10−3, maximum allowable number of iterations to be 10, and 20 load steps of ∆q0 = 250 lb to obtain the load-deflection response. Plot w/h versus load parameter P = q0a 4 /Eh4 = q0 × 10−2.