Ignatz
The 3-jaw chuck I used is an older Pratt Burnerd that came with the lathe when I bought it. The screw mount is integral with the chuck body and so I tend to discount faceplate distortion.
Ha ha!, never trust a chuck! or rather 'trust, but check' as they used to say in the NKVD!
I have exactly the same myford integral chuck, was having similar problems and the spindle checked as parallel on my 10 and so assumed there was some issue with the chuck jaws. I consulted the forum with view to grinding and somebody suggested I check the runout on the chuck back (nah, surely not , I thought) and guess what…. when measured- nearly 2 thou runout, which over the chuck + test piece length was 6 to 8 thou taper! (and would be correspondingly more for a longer piece).
I think this type of chuck condition is unusual but not without precedent – anyway will only take 5m to check (somebody suggested internal stress relief over time as a cause of distortion, but I think more likely to have been die to a nasty lock up ). BTW, I did a quick and dirty fix of shimming up the low side between the integral plate and chuck bodywith some ally foil to avoid having to skim the integral plate and chuck innards – reducing the angular error to practically zero over 6 inches Picture of dismantled chuck in my album). There was still 1.5 thou runout in the chuck, but this is coaxial with the lathe and not worth chasing down on a 3 jaw
once the initial cuts are made, the surface of the workpiece should be – in theory – spinning true, in line with the axis of the spindle.
Yes, but if your spindle or chuck or both are not coaxial with the lathe bed and traverse of the carriage, you will turn a taper as it appears is happening. Assuming you mounted the work piece perfectly axial to the spindle and your first measurement (the largest) is at the tailstock, your measurements suggest that the misalignment is towards the back right of the lathe (or the right end of the lathe may be twisted towards the back with respect to the headstock end). In respect of bed twist, the error seems too large to be fully accounted for by twist alone, but may contribute as errors can be cumulative.
“Rollie's Dad's Method of Lathe Alignment” is quite interesting.
Yes, but bear in mind its limitations, in that with a chucked system, the method does not discriminate the error between chuck and spindle, which is why it is important to confirm there is no chuck runout (and that the jaws faces are co axial) – you do get people that grind the jaws in response to these type of issues without fully understanding the true source of error thereby not only not fixing the issue, but trashing a chuck as well (however, there may be perfectly respectable reasons to grind the jaws, but depends how well it is done)
I would strongly advise you to get a 2mt test bar, it is a very useful bit of kit for checking spindles, setting tailstocks and topslides etc a 6in one will do but if you are masochist, get a longer one! If you put a quality test bar in a well cleaned and deburred spindle and it indicates true or not, then the result is usually definitive (and a piece of 20mm silver steel for other checks).
Don't discount the possibility of bed twist, but that check should come after you have investigated all the other sources of error.
Above all have fun!