For press fits I prefer the self gauging taper method to the traditional parallel system. Most especially if things have to be assembled cold.
Idea is to make both male and female parts with a shallow taper whose half angle (taper on one side) gives the desired interference fit over the full length of the taper part. If both male and female tapers are dead nuts accurate the male will enter the female freely up to half the press fit depth. Pushing fully home gives the desired press fit all along the part.
The taper makes assembly much easier because the parts are aligned by the taper before you start pushing. The actual fit increases steadily from zero at the initial half in point to full when completely home so the effort is much less than with a conventional parallel fit which is full fit all the way down. Much less chance of damaging the parts and, in this case where the female is tube much less risk of expanding it during the process.
Setting up for the shallow taper can be a bit tricky. Best way is to use the a decent travel on your taper turning attachment, or topside if you’ve not got an attachment, and measure the actual deviation between the ends in thous per inch or its metric equivalent. A dial gauge gives accurate results quite easily but creative use of the cross slide dial is pretty good.
Obviously machine one taper on the back side of the work and the other on front to produce two matching tapers automatically. Once you get close enough to size for things to start entering shift the cutting tool longitudinally using topside parallel to the bed if working with a taper turning attachment or saddle against a bed mounted dial gauge if using a set over top slide. Due to the shallow angle of the taper the longitudinal movement needed to take out the last few tenths is large enough to be easily measurable with the sort of equipment we have in the home shop.
Most folk don’t have the gear to accurately measure and make a parallel shaft and bore a true 0.001″ different. Getting a press fit of some description merely takes care but how close the result really is to 0.001″ press fit is going to be anybodies guess.
I have got the machines and gear to do it but really wouldn’t like to take bets on coming up right first time from a cold start with only one pair of parts to play with from a standstill. Easily between 0.0005″ and 0.0015″ for sure, if I don’t have a brain fart mid job, but exactly what Inspector Meticulous would find if he separated the parts I don’t know.
With the self gauging taper method it’s pretty easy to get the longitudinal shift within a couple of thou of half way so the error in fit should be infinitesimal.
The major disadvantage of the self gauging method is that it’s a new skill to practice and dial in. Parallel press fits are “just” a standard turning and boring job done really, really carefully.
That said I’ve gotten entirely satisfactory results using parallel shafts and bores before I found out about the self gauging method. But I always used heat to expand the bore so the shaft just dropped in. Clearly the resulting fit was tight enough.
Clive