There are 2 excellent ones. The poster here , sorry don't remember his full name has recently written a book on the '35 and '36 model BB trucks. For a book on ALL the Ford big trucks there is none better than James Wagner's 'Ford Trucks Since 1905'. First published by Crestline in 1978, later in 1994 by Motorbooks international. I wore out my first one from 1978 and now the one I got in 1994 is in tatters. While ford didn't make a 2 ton truck in '34 they could be brought to that standard and above with carefully chosen aftermarket equipment. Or as often seemed to occur, just overload them and head out. Looks like forty eight 55 gallon drums of oil. Not sure what that weighs, but thinking they better stick to level ground. And the Caterpillar? It least it has the '5 ton' conversion. Isn't that like 10,000 lbs?!!!
My granddad had a '32 BB stake body farm truck that I know he loaded well over 2 tons. There was a steep hill on the way to haul a full load of fire wood to the cabin. He had to back the truck up that hill because reverse was a lower gear than low gear.
He built that "camper" on the back and he and my grandmother drove it from Virginia, across Canada and back.
Here's the really long answer about truck weight ratings. Like I mentioned, all trucks are called 1 1/2 tons (probably based on the nominal minimum load weight rating) but the actual load weight rating depends on the tires and auxiliary rear springs. Here's a table I put together showing the actual load weight ratings (in pounds and tons) for the most common types of 1935-1936 trucks (the 1932-34 Model BB trucks are similar). All of these truck and tire combinations were available directly from Ford as a new truck.
The listed Load Weight Ratings are based on the tire manufacturer’s recommended tire capacities and accounts for full gas, oil, water, tools, spare wheel, spare tire (same size as rear), and front bumper. Data source: 1935 Ford Truck Dealer Salesman’s Pocket Handbook.
Note that there is no load capacity for panel trucks with smaller single rear wheels. Also, truck frames can take up to 15 tons and it was common to overload trucks well past the weight ratings shown in these tables.