A horizontal rectangular plate, simply supported on all four edges, with dimensions 1.3 m and 1.3 m , with a thickness 6 mm is subjected to a vertically distributed load of 5000 N/m2. Knowing that Young's modulus is 140 GPa, and the Poisson's ratio υ=0.3, calculate the maximum deflection in the middle of the plate using terms up to the 3rd order in Navier's analytical solution. What is the displacement in the center of the plate in m?