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You don't say if this is a drawn cup needle bearing unmounted, or a needle bearing with an outer race. ? A drawn cup bearing is in a thin steel cup and should NOT be used for fits evaulation as it is unmounted. Normally the cup is "pressed" into a housing or support, which will shrink it's size by .0005 or so. For your info, a cup bearing w/ 9/16 bore, say a B-96 (B is series/load, 9 means 9/16 bore,6 means 6/16 wide(3/8)) needs the following for a standard precision mounting: Shaft size .5620 to 5625 Housing bore .7495 to .7505 If you bought a factory inner race to run on this bushing , ie.IR-68, it would have a diameter of .5625 (+.0000 / -.0005), so I don't understand what other folks are telling you. The other post mentions a pre -shaft of sorts, that is you use it to get your bearing started straight ,which is a good idea, but when the bearing "screws" on to the shaft, the fit is too tight and the needles can't correct . When mounting a Drawn cup bearing in a housing, you should make a temp stub shaft (small size)plus have a shoulder to push the cup into the housing squarely ! Good Luck
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