Mr. Reliability,
First, sorry for the math error - I caught it after I posted - and apparently so did everyone else. That's what I get for doing this in my head!!!
OK, so 8 tires carrying a total load of 5100 = 638# per tire.
The tire is rated for dualed tires is 1650# at 70 psi. BTW, what pressure are you running?
I still haven't found a flat plate to curved surface chart, but I do know that a 67" diameter road surface needs to be run at 88% of the load to get the same deflection - and there are some who think that even getting the same deflection generates stresses in excess of the flat plate.
I also don't know if the worst case is the 3500# 30" diameter or the 500# 6" diameter.
Plus I think we need to factor in that the loading on the tire isn't strictly radial. The net force on the tire is producing a tangential load above and beyond the torque needed to spin the pipe.
If I had to hazard a guess, I think the radial load needs to be half of the rated load. That would be 825# tire rating vs 638# pipe load. Still sounds OK, but is the load the same on all 8 tires? (I think you said the load is unlikely to be the same)
"Too much pressure?" - I totally disagree. These are bias tires and the fact that you are getting tread separations says there is a shear force that is exceeding the bonding strength between the cords and the rubber. Lowering the pressure is either going to cause the separation to occur sooner or the separation will occur in the sidewall.
Oh, and how old are these tires? Is it possible that what you are seeing is just tire age? Maybe a bit of history would help. Which tires failed? Have there been repeats?
BTW, I would hope you are at least replacing tires in pairs.
How about a photo? It is hard to visualize what the set up is and those of us who know tires and what is important to them are going to look for certain things - and those things will be different that what a machinery guy would be interested in.
One last thought. I'll bet the shop has an infared pyrometer. You could measure the tread surface of the tire. That will tell you lots about the actual loading.