I have a 2015 2500 heavy duty (coil springs in rear) 10,000 lbs GVW when i put about 3200lbs in bed up close to cab i get body roll so bad it activates the ABS system and would wreck you if you did not slow down. Had it to the dealer and they said nothing worn out on truck (good shape)
I have a video of it

 

Really simple fix. Slow down.

 

Total payload is 3500 lbs.

How much do you weigh? Anything else in the vehicle? You need to add it all up. A full tank of gas doesn't count against you, but the spare tire does if it's a steel rim full size spare. Also is the load leveled?

 

Mike,
I am not real sure what my truck weights. ,but the load was up near the cab and centered. It not a weight Issue (overload) The truck should not react that way even if it was to be a few 100lbs over. Question (was it designed to do that) I am not saying you should but I have had 3/4 ton trucks with leaf spring hauling 5,000lbs that did not have body roll (it is so bad it could cause you to wreck) I have a Video if it. I think there is a design issue ,the coil springs are in bound of the frame rails (about 28' apart) way to close together