Determine the load–deflection behavior of a square plate with two opposite edges clamped and the other two edges free, and subjected to uniformly distributed transverse load. The material coordinates...

Determine the load–deflection behavior of a square plate with two opposite edges clamped and the other two edges free, and subjected to uniformly distributed transverse load. The material coordinates (x1, x2) coincide with the plate coordinates (x, y), and assume that the edges parallel to the x-axis are clamped. Use 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, and 8 × 8 uniform mesh of (a) non-conforming CPT elements, and (b) conforming CPT elements. Use load steps such that the load parameter P ≡ q0a 4 /E2h 4 is equal to 20, and use 12 load steps with = 10−2 . Plot load versus center deflection (P versus w). Use a convergence tolerance of ε = 10−2 and ten maximum iterations.