The F250 uses a Visteon Sterling rear axle rated at 9750 lbs and same frame design as a DRW, so these are not limiting physical factors. The rear springs, rims and tires are typically rated around 7000 lbs which is where you want watch the total applied weight. Expect about 3000 lbs on the rear axle with the truck unloaded, but additional gear, tools or fuel tanks will take some of that reserve.
Now that physical constraints are addressed, there are paper constraints that have nothing to do with actual capacity. As was posted, the F250 is capped at 10,000 lbs since it is sold in the Class 2b category. Your state may license the truck for any desired GVWR you like so they can pay to repair the roads based on actual maximum weight and wear. Legally, your registered GVWR is what anyone cares about except for British Columbia where they use the door post sticker.
