Re: Alignment
Okay, how do I tell if it is a up/down (wear) or left/right (can adjust) alignment issue?
View attachment 56733
cdhknives,
Here is a piece that I wrote on the Yahoo Atlas_Craftsman list about a year ago on the effect of tailstock height error. I still haven't gotten around to running the numbers to confirm my added comment at the bottom of the piece. But thinking about it for a while tonight, I still think it's true. In any case, the answer to your question above is that you can't without some other method of measuring.
***********
To give a feel for the actual magnitude of errors a small vertical tailstock to
headstock error actually makes in finished diameter of parts turned between
centers, especially compared to front-back offset error, here are some simple
hard numbers.
Suppose the following:
Bed is straight and level in both planes and carriage travels in a
perfectly straight line parallel to lathe axis in both planes.
Cutter is perfectly on-center at headstock end of workpiece.
Workpiece diameter is 2.00000" (1.00000" radius, makes the calculator input simpler).
Workpiece length doesn't matter (this isn't a supposition, but a fact that
needed to be mentioned here somewhere).
Tailstock is perfectly on-centerline front to back (+/- 0.00000").
Tailstock is 0.01000" high or low (gross error even on a 60 year old Atlas).
Cutting pass is normal (right to left).
Cutter is advanced against workpiece at tailstock end to perfect touchup
(0.00000" cut).
Cutter is ideal (doesn't care about angles between its surfaces and
workpiece) and material is ideal (totally insensitive to depth of cut problems).
The vertical error at touchup at the TS end is 0.01000" (given).
The touchup point at TS end is 0.57297 degrees (ARC SIN 0.01000) around the
workpiece from the actual front of the workpiece.
The vertical error at the HS end is 0.00000" (given).
The cut radius at the HS end is 0.99995" (COS 0.57297) or a cut at the HS
end of 0.00005"
So the new diameter at the HS end is 1.99990" (from 2.00000"). Remember
that this is on a 2" diameter workpiece. However, as the workpiece diameter
decreases, the error increases significantly. For a 1" diameter workpiece,
the cut error is 0.0002" for a diameter error of 0.0004" and for a 1/2"
diameter workpiece the numbers are 0.0008" and 0.0016". So, for small angles,
the error quadruples as the diameter halves.
(added) For a 3/4" diameter workpiece,the cut error is 0.0004" for a diameter
error of 0.0008".
It seems intuitively obvious although I have not run the numbers that if the
tailstock setover is adjusted using the "turn a test piece" method instead of
the precision test bar method that it will compensate for
any height error when you are turning a workpiece of the same diameter as
you used to adjust the setover. But only partially so if the diameter is larger or smaller.
All figures rounded to five places and it is assumed that HP's small-angle
calculations are good to better than five places.
*************
Robert D.