For a start, you could probably survive with:
6" steel rule
Digital Calliper Can measure in Metric or Imperial, at the touch of a button.
Scribing Block
Feeler gauges
Zeus Charts.
Obviously tooling for the lathe. I would suggest HSS, so that you learn how to grind tools. Carbide replaceable tips come ready sharpened, but can chip easily and therefore be costly. The cost of one tip will buy a length of HSS which can be reground lots of times.
When I bought my first lathe, I was given a 6 inch long HSS parting tool and holder. Over 20 years later, it is about half length, but still not worn out!
Which implies a Bench Grinder!
A couple of Centre Drills
A set of Jobber Twist Drills
(For the moment, decide if are you going to work in Imperial or Metric units ) In the future you may well wish to expand. But learn to walk before entering the Olympic sprint championships.
If you want some useful reading, which will give basic information::
"The Amateur's Workshop" by Ian Bradley. Covers work other than lathes, but does tell how to set a lathe so that the bed is not twisted, and so should cut parallel.
"The Amateurs Lathe" by L H Sparey.
"The Model Engineers Handbook" by Tubal Cain. An invaluable reference manual on many subjects.
Neil Wyatt and Dave Fenner have both written books dealing specifically with the mini lathe.
Harold Hall has written a book on Lathework.
Soon, you should be able to find and join a local Model Engineering Club. Your contacts there will provide face to face advice, even demonstrations, in addition the advice that you find here on the Forum.
As you gain experience and confidence, you will find a need for
Plunger DTI
Finger DTI
Magnetic Base (In the interests of rigidity avoid the ones with an Adjustable arm. A measuring device that is not rigid will not provide accurate results.
As you gain experience, knowledge and confidence and seek to tackle other more complicated work, Taps and Dies. (This can be expensive if you want to cover ALL possibilities ) But for the moment you can survive by buying just those that you need immediately. A complete sets in a box is very nice (I have lots, but some have never been used, as well as few "one off" specials! )
You can worry about Screw Pitch Gauges (They will be useful eventually ) and radius gauges , WHEN the time comes.
Before launching into machining expensive castings for a model, learn how to use your lathe by making tools which will be useful not only to gain experience, but which will be useful.
Scrapping a few inches of steel bar will be a lot cheaper than a casting for a model!.
If you make a mess of a piece of 20 mm bar, you can always learn by turning down to 19 mm, and possibly to improve the surface finish whilst doing it.
A Centre Height Gauge.. Saves time setting tools to Centre Height, so that they cut properly. Biscuit tins make good shims, being about 0.010" (0.25 mm) thick..
A Mandrel Handle. Eventually you will find a use for one.
You can try making a few Bolts or Nuts for a particular, non critical job.
Do not become obsessed with delusions of accuracy. Unless you buy a VERY expensive Toolroom lathe, the sort of machines that we use will not equal such a level of accuracy or precision.
Think in terms of working in thous, not microns!
A micron is the sort of tolerance used in Fuel Injection Equipment subjected to pressures of 1,000 bar or more, which usually means a lapped fit so that only those two components will fit together properly.
A new 3 jaw chuck is likely to produce run out of about 0.003" (0.075 mm) Which is less than the thickness of a human hair! A sheet of writing paper will be about 0.003" thick.
Sorry to go on at such length, but do not want a beginner to become disillusioned because of failure to reach unrealistic goals.
Howard
Edited By Howard Lewis on 13/05/2021 22:15:40