Interesting reading about foam core panels.

"It is estimated that by increasing the sandwich thickness by two, the panel will become 12 times as stiff and six times as strong. The advantage of a sandwich is that little weight is added when increasing the thickness." http://www.sandwichpanels.org/articles/article_sandwichoanelcores.html
"Based on my spreadsheet, a 4’x8’ panel comprised of a ½” BC plywood (5-ply) top and bottom lid and a 2” extruded polystyrene core (i.e., pink or blue rigid foam insulation board) can carry a load of 41 pounds per square foot,"
http://theatreface.ning.com/profiles/blog/show?id=2529492%3ABlogPost%3A147917&commentId=2529492%3AComment%3A148435&xg_source=activity
"Based on my spreadsheet, a 4’x8’ panel comprised of a ½” BC plywood (5-ply) top and bottom lid and a 2” extruded polystyrene core (i.e., pink or blue rigid foam insulation board) can carry a load of 41 pounds per square foot,"
http://theatreface.ning.com/profiles/blog/show?id=2529492%3ABlogPost%3A147917&commentId=2529492%3AComment%3A148435&xg_source=activity