What you really need is a Finite Element Analysis (FEA) application. Not only can the FEA application solve your problem and visualize it. It allows you to somewhat easily solve an arbitrary complex problem for you with some effort.
Image 1: Quick test in Creo, with default meshing. Could be split to your desired grid for more accurate representation.
There are a several free FEA applications or you can use a commercial one (sky is the limit as far as fea application prices go).
Source : Link , Question Author : sash , Answer Author : joojaa