I have only just skimmed through this post, so if someone has already mentioned what follows, I apologise. But for all the technical thread dimensions provided and talk of the set-over top-slide method I could not see any mention that the 27.5deg. or 30deg. set-over should be to the transverse axis of the lathe, not the longitudinal. It may be in there somewhere but I couldn't see it, if it is I am not trawling through all the answers again to find it.
This is a common error that a beginner could make and would account for an incorrect depth of thread. Also, you do not need to do any trigonometry to obtain the additional in-feed required, the lathe can do this for you. So, set-over the top-slide to required half angle of thread form to the transverse axis of the lathe with the tool at 90deg. to the work as set with a screw-cutting gauge.
With the tip of the tool just touching the work, zero both cross-slide and top-slide dials. Move the saddle to the right until the tool is just clear of the work and put the full depth of thread on with the cross-slide handle and then zero the cross-slide dial again. Withdraw the tool just clear of the work with the top-slide and proceed to screw-cut putting the cuts on with the top-slide and withdrawing from the cut with the cross-slide hand-wheel as normal and returning it to zero to start the next pass with the cut put on with the top-slide. When the top-slide dial reads zero the correct depth of thread has been achieved as the tool has been fed in along the hypotenuse formed by the rear flank of the thread. If the nut is a little tight, advance the cross-slide a thou. or two and take a finishing cut. This will ease the thread which will be quite good enough for all practical purposes because we are not making a micrometer.
This is how I was trained to screw-cut and it works every time for me. BTW, if you are cutting an internal thread you can still use this method by simply inverting the tool and cutting the thread on the rear of the bore. This also has the advantage that you don't have to think about which way to withdraw the tool at the end of the cut, it is exactly the same as in cutting an external thread and you can also see what is happening in the bore as the cuts progress.
Sorry, I forgot to mention that the work should be supported by a tail-stock half-centre if at all possible, and a travelling steady on particularly long work-pieces, because there will always be some deflection which will affect the depth of cut in slender work. Where this is not possible, make a couple of additional passes without altering the finished depth setting. This will 'work out the spring' in the work. I know this is common knowledge to the old hands but it may not be so obvious to a beginner.
Edited By Chris Crew on 02/08/2023 23:38:36
Edited By Chris Crew on 02/08/2023 23:40:31