I have no idea where you are getting your information about weights and axle loading - BUT I disagree strongly with your assumptions and information. Even your balance point 9center of gravity/load distribution comment about front axle and rear axle loads is incorrect.
Look again at the manufacturer's nameplate data shown above: Your information above (13,000 to the front two tires and 12,000 to the four rear tires, with an "assumed maximum" ????? load of only 3500 pounds is going to get you in trouble.
Rated load seems to be 60,000 - 53,220 = 6,780 lbs
GMC's tag clearly says
GVWR (total) = 53,220 lbs
GAWR FRT = 13,200 lbs
GAWR INT = 20,000 lbs
GAWR RR = 20,000 lbs
GCW = 60,000 lbs
Again - None of these include 'stupidity" or overloading (accidental or incidental) of the dump truck - Notorious for both problems unless you are weighing (and unloading when needed) every load by scale. Even wet ground or rain is going to increase dump truck bed loads substantially over nominal weights and measures using the same volume or number of front-end-loader scoops.
1) How are going to limit weight in these trucks to only 3500 lbs?
2) Minimum loads need to be:
The interior axle = 20,000
The rear axle = 20,000
The front axle = 13,200 (close to your assumed value at least)
Perhaps we here, on-line and not knowing your location nor identity nor purpose nor background, cannot change your mind. But .......