Determine the load–deflection behavior of a square plate with two opposite edges simply-supported (SS–1) and the other two edges free, and subjected to uniformly distributed transverse load. The...

Determine the load–deflection behavior of a square plate with two opposite edges simply-supported (SS–1) 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 simply-supported. 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 conforming CPT elements in a quadrant of the plate. Use load steps such that the load parameter P ≡ q0a 4 /E2h 4 is equal to 20, and use 12 load steps. Tabulate results for the maximum transverse deflection w and stress σxx. Use a tolerance of ε = 10−2 and ten maximum iterations.