Calculating PSI for Pressing Cups into Agricultural Equipment Hubs

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Where I work we machine hubs for agricultural equipment. Currently we are having an issue pressing the cups\races into the hubs. The cups have a.001 inference fit with the bore of the hub. The hub dia is 3.2675" and the cup has a 3.2685" dia. the surface finish of the hub is 125 and I am not sure what the surface finish is for the cup. Also we are pressing the cup to a depth of 1.5". The question that has been asked of me is to calculate the amount of psi it takes to press the cups into the hub. Any help would be appreciated. Thanks
 
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