I got hold of pressure loadcapacity list of Michelin , for different speeds , and for on track , and Mud/sand.
Rule of tumb is for on track 80% of the presssure needed for 65km/40m?/h.
For in Mud/Sand 50%! of pressure needed for 20km/12.5m/h.
For lower speed the tire is allowed more deflection so lower pressure for the same load.
And what its all done for is , to get no part of the rubber of tire a to high temperature so it hardens, and damages in next bendings by the deflections.
Probably in Mud/sand the rubber bends lesser then on hard surface, and so produces lesser heat.
Also the verry low speed of 12.5 m/h gives lesser cycles a second so lesser heatproduction.
The speeds I gave are then the maximum allowed speeds , higher gives tire damage.
Will give the 2 pictures of it from Michelin, mind its for high pressure E-load/10pr tires with pressure needed for maximum load up to 110km/68m/h of 6 bar/<>87 psi, will cal it AT-pressure furteron, and most of the tires are Standard load or XL/reinforced/Extraload P-tires with respectively 35psi and 41 psi AT-pressure . For those pressure the maximum load is calculated for up to 160km/99m/h.
But principle stays the same , and I determined of this and more, a system to chanche the loadindex 1 step for every 10 km/6,5m/h , higher speed > lower Loadindex, lower speed > higher loadindex. A rule of tumb but sertainly wont give to low pressures in the lower speeds as used for on track and Mud/Sand.
Then you only need to know the real weights on seperate tires, and you can calculate ( or let me do it) the needed pressure for on road, and take 80% of that for on Track and 50% of that for in Mud/Sand. Can give pretty low pressures for in Sand/Mud of even 0.7 bar/10 psi sometimes.
Greatings from a Dutch Pigheaded Selfdeclared Tirepressure-specialist.
Peter