You should use a FEM software if you want a good model without wasting time in a theretical model. You should use the shell elements (QUAD4 or 8 using Nastran) if you have to model a thin plate with nearly equal length-width.
Yes, I mean the matrix formulation of a shell element.
I have a one element model. I know I will only get values out of it at the nodes (the four corners, I use linear elements).I know I will get a 24*24 matrix (or a 20*20 if I use a shell).
I need to know all the values of the matrix (so 300...