It is extremely complex to do but it can be done using finite element analysis.
If the round surface is the same a one of the brinnell hardness testing ball scales, you can measure the impression and there are tables which tell you an average psi of the tensile strength. They don't tell you the actual though.
The problem is there is compressive force squeezing, and mixed tensile and friction forces from it trying so slide sideways. For flat faces this is well documented from "upset" calcs for forging. You can calc for various lubricants on the flat face, different temps etc.
You could calc an average psi, but what it is at each point is the tough part.
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Today's Featured Article - Fordson Model N: Field Service Operations and Lubrication - by Anthony West. The daily or weekly servicing of any vehicle is of the utmost importance, and in days gone by when our favorite tractors were doing an important and Commercially vital job on the farm, these service operations would make a major difference to the running costs and economy of the farm. This being so, it surprises me to see how many enthusiasts attending rallies, shows etc, seem to be unaware of the importance of this constant attention. Possibly the modern machine with its 6,000 mile or even once
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