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only cause I have to understand something in my own language of rookie;
If your tire is only rated to 2600#, then you do not have a correctly specified tire to load to the maximum rating of the truck. You need to substitute 5200# as your new maximum RGAWR regardless of any other ratings, since the tires are the lowest rated component.
A 2600# tire is analogous with a load index of ~114, guessing based on that and the 65psi max, you're running a D-Rated tire. Probably in a standard-marked size like a 35x12.50R18? In that case, the tire is most likely safe to use as long as your actual weights are under the tires load capacities, but the tire is costing you payload at the top end.
The sticker provides the recommended tire psi for our truck's legal weight limit i.e. GVWR based on the tire size cited on the sticker. Weight includes the truck plus all cargo (including people).
However, contrary to what some incorrectly believe, you can (and I'd argue you should) adjust your tire's p.s.i., up and down, according to the weight you're carrying (truck plus all cargo). The link below to Michelin's Truck Tire Data Book has all the information most will ever need to know about truck tires and proper inflation based on axle and total load weights.
If, for example, you're running 16" tires say LT265/75r16 Load Rated E like I am, on Page 22 of the Data Book, you can see the different p.s.i. one can run on depending the axle weights. You can safely adjust the tire inflation based on the axle weight you are carrying front and rear.
For me, when I have my Truck Camper loaded on my truck, I run 80 psi rear and 65 psi front based on the weight I'm carrying on either axle. When light loaded, I run 50 psi rear and 50 psi front which still gives me a big safety margin in case I need to load something up in the rear.
My tire shop guy (he's been a truck guy and, mechanic and tire guy for over 40 years) recommended I run 45 psi all around when empty to save my kidneys. Personally, I prefer not go that low although the ride is smoother.
I played with mine in early spring. I lowered the back to 65 psi and left the front at 65 psi. It felt mushy in turns and still felt rough on the ride. When camping season started, I went with the recommended pressures. I thought about playing with it again now that camping season is over, but now I am either use to it or it softened up a bit and don't seem as bad. I am leaning that I am getting use to it. I drove a 2007 Honda Accord before, so a huge difference.
Yeah, unless you can get an actual load index table from the tire maker the math problem is the next safest bet. Just sub in the lower load index if there are two on the tire like above for a dually, to account for sidewall deflection on the rears to make sure nothing contacts.
Is is the load index, supplied by Michelin, for the stock 20" AT2 on my 2016 F350.
I went to a CAT scale, got my weights, and adjusted accordingly. Just got back from a 1000 mile round trip hiway run and everything performed well, 50F/45R. This gave me cushion on each axle. I got the table by contacting a support rep for Michelin.
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