javajoe79
Fabricator
A couple of points worth mentioning I think.
Tire construction plays a significant role in this whole determination. If you have three identical size tires with the same load rating, you will see differences in the sidewall stiffness. The difference between a Toyo, a Cooper SST, and a Mastercraft are very apparent. The Toyo is so stiff that one could image not needing air at all in a light truck, The Mastercraft is soft and very comfortable on the road. They are 3 ply and 2 ply sidewall respectively. The Cooper is 3 ply, but lands between the other two tires in stiffness.
Boyle's law would apply perfectly if all tires were constructed the same. Because they are not, Boyle's law must be adjusted a few pounds. A concept worth grasping is that a given weight of truck must ride on a given volume of air. The tire's purpose is to contain that volume, either by allowing for high pressures, or just being a larger volume tire. If you have two identical trucks, running on similar constructed tires, with one truck riding on huge balloon tires, and one on skinny road tires,.....both tire sets would contain the same volume of air (corrected at some standard elevation and temperature). The air doesn't care what size tire you squeeze it into, as long as the correct volume for the vehicle weight is there. In other terms, a 10 cubic foot volume tire might run at 50 psi, while a 20 cubic foot volume tire on the same truck would run at 25psi. Both contain the same volume of air.
I bring this up because I have had many "discussions" with people who believe that a vehicle must run on a certain pressure of air. Not so. I have also had "discussions" with people who believe that because a tire has a higher maximum pressure rating, that it MUST run at a higher pressure. Also not true. A load range C tire and a load range E tire of the same size, on the same vehicle, would require the same pressure. In fact, the E tire would actually need a few pounds LESS, because of the increased sidewall stiffness.
Your last sentence contradicts the rest of your post it seems... I don't think it's necessarily so cut and dry. Like I posted before, each tire has a different spring rate at a given pressure. On the road at speed, we want the correct pressure so as to not over heat the tire and to provide the proper contact patch. That pressure will change from tire to tire.