Lathe tailstock alignment on CNC machinery and equipment
Tailstock alignments on CNC lathes are usually very simple. But do require that the main spindle or headstock be in perfect alignment first. Some people will use a coax indicator and clamp it in the main spindle and then sweep the center of the tailstock. This setup is only good to get it close and is not usually necessary. The correct way to align the tailstock is to chuck a piece of bar stock in the spindle at least 3" in diameter if possible and a minimum of a foot long. The diameter should be large enough that it does not deflect during cutting.
Check alignment of lathe tailstock to spindle
Once you find out how much taper you have. You will need to find some adjustment push pull screws to move the tailstock up and down. There will also be hold down bolts similar to a headstock or turret body. There is also a gib that can be adjusted if necessary.
Tailstock alignment and machine adjustment
There are several ways to align a tailstock which works simliar for any CNC or basic machine. The way below describes adjusting the tailstock when engaged with the part. This removes any backlash from the gib for the tailstock and ensures the tailstock should be parallel to the axis.