-Just to make a little correction about what a cord of wood weighs. A cord of dry, pine, will weight between 2-3000lbs. A cord of of dry white oak will weight around 4200lbs, but about 5600lbs green and wet. Just estimateing the weight of the ton truck with dump be to be around 10,000 lbs and a 2 cord of green oak at 11,200 lbs that would make the gross weight right at 21,000lbs. Thats a lot for a ton truck, esp since the gvwr on that truck is only around 10,000 lbs. Probably wont be a real problem since it would be hard to stack two full cords of anything on a ton truck with 10ft bed unless the side boards reach a long way above the cab.