I forgot it was on the mandrel nose drawing!
The great man was pretty good at getting confused about half-angles.
I spent a good while trying to check out the formula on page 3.1, (3rd edition), where x should be radius not diameter and the formula will then give the correct single-sided taper, not taper on diameter.
He doesn't seem to have registered that 2 * tan (theta/2) is not the same as TAN (theta), although the error at small angles is… small.
I was thinking about an included angle of about 5 degrees or 1 in 10. That would make it easy to adjust running clearance – a 20tpi thread for the thrust bearing adjustment would give 5 thou adjustment per turn. Assuming a precision run fit of 0.001", that would be 10 thou away from locking up.
Problem is that bigger angles are more critical for the adjustment.
More thought needed!
This is for a new headstock for a Super Adept by the way, aim is to make it a BGSC lathe. The existing spindle has 2 thou of wear and the front bearing has been cracked during an attempt to adjust it out. The bearing centreline drops by about 1/8" at the tailstock over the full length of the bed.
Other alternatives are small roller bearings or magneto bearings, but these all seem to have excessive OD's of about 1 1/4" to pass a 1/2" spindle, which is needed to accommodate an 0MT taper.
Neil