Consider a clamped square plate, subjected to uniformly distributed transverse load q = q0 = constant. The geometric and material parameters are a = 10 in, h = 1 in, E1 = 7.8×106 psi, E2 = 2.6×106...

Consider a clamped square plate, subjected to uniformly distributed transverse load q = q0 = constant. The geometric and material parameters are a = 10 in, h = 1 in, E1 = 7.8×106 psi, E2 = 2.6×106 psi, ν12=0.25, G12 = G13 = G23 = 1.3×106 psi. Use 8 × 8 and 4 × 4 uniform meshes of linear and equivalent meshes of nine-node quadratic rectangular elements in a quadrant of the plate to analyze the problem. Use load steps such that the load parameter ∆P ≡ q0a 4 /E2h 4 is equal to 5, and use 32 load steps to obtain the nonlinear response. Plot (a) load versus center deflection (w/h versus P), and (b) load versus maximum stress (σxx and σxy). Use a convergence tolerance of ε = 10−3 and maximum number of iterations for convergence to be ten.