Welcome to EE!
First I would start here ---> http://www.engineersedge.com/beam-deflection-menu.htm
Then, take a look at ---> http://www.engineersedge.com/mechani...ial_menu.shtml
You assmue to a degree that the plywood distributes the load evenly.
Also, proof loading the platform is as simple as getting a couple of well fed men to stand on the platform.