← LibraryThread MillingEngineering · Mechanical EngineeringLesson 85/86← PrevNext →
ArticlePublished 11 Jul 2026Updated 21 Jul 20267 min readBy Kevin Jogin
KEVOS® Knowledge Library · Engineering → Mechanical Engineering

Engineering / Mechanical Engineering

Thread Milling

Give a CNC machine three synchronised axes and the thread stops needing a tap: a spinning form cutter is simply driven around the hole in a circle while climbing one pitch per lap. One small tool, any diameter of its pitch, either hand — and one famous feed-rate trap.

  • Reading time · 7 min
  • 7 sections
  • Orbit geometry worked
  • The 2.5× feed trap
a cutter that orbits hole Ø D cutter Ø dc centre orbit Ø = D − dc p per orbit one orbit of the centre = one pitch of climb the same cutter mills any diameter of its pitch — left- or right-hand
Doc №KL-ENG-MECH-178
SectionEngineering → Mechanical Engineering
Sheet1 of 1
DrawnKEVOS®
Date2026-07-11

§1Three axes make a helix

A thread is a helix, and a CNC machine that can interpolate a circle in two axes while feeding the third can trace one directly — so the thread becomes a toolpath instead of a tool.

The move is called helical interpolation: X and Y drive the cutter’s centre around a circle while Z climbs at a fixed rate per revolution of that circle, and if the climb is set to exactly one pitch per orbit, any rotating cutter carrying the thread’s profile will generate the thread on whatever wall it touches — inside a bore or around a boss alike. Every earlier method in this half of the section embodied the thread in the tool: the tap was the thread, the die its mirror, the grinding wheel its dressed negative, and even the lathe’s single point owned the pitch through the leadscrew’s gearing. Thread milling splits the embodiment: the cutter carries only the profile (the 60° form, at some pitch), while the diameter, hand and depth live entirely in the program. That split is the source of everything §5 will list as an advantage — and of §3’s celebrated trap, because a toolpath programmed for the wrong point of the tool is a trap no embodied tool could ever spring.

Contents

§2The orbit, worked

All the geometry lives in one subtraction: the cutter’s centre orbits on a circle whose diameter is the thread’s minus the tool’s.

M20×2.5 internal thread, Ø12 thread mill
QuantityRelationValue
Thread (hole) diameter Dgiven20 mm
Cutter diameter dcgiven12 mm
Centre-orbit diameterD − dc8 mm
Centre path per orbitπ (D − dc)25.13 mm
Axial climb per orbit= pitch2.5 mm
Time per orbit at 200 mm/minpath ÷ feed7.54 s
Read the third row twice: the centre travels a circle of only 8 mm diameter to cut a 20 mm thread, because the fat cutter does the reaching. The program therefore consists of a lead-in arc onto the wall, one (or a few) full helical orbits climbing 2.5 mm each, and a lead-out — and the same Ø12 cutter, fed on a different orbit, cuts M16×2.5, M24×2.5 or a 2.5 mm-pitch thread of any diameter its shank can reach, in either hand, merely by changing the numbers. The tool stocks one pitch; the program supplies everything else.
Contents

§3The 2.5× feed trap

The cutting happens at the tool’s edge but the program moves the tool’s centre — and inside a bore those two travel very different distances, in a ratio every thread-milling manual prints in bold.

internal: FcentreFedge = D − dcD · external: FcentreFedge = D + dcD
Example 1 — the scrapped-thread arithmetic

For §2’s job the cutting edge sweeps the hole’s circumference, π × 20 = 62.83 mm per orbit, while the centre travels only 25.13 mm — a ratio of D/(D − dc) = 2.5×. Program the recommended edge feed as the centre feed and the teeth are driven through the material two and a half times too fast: chip loads explode, the slender cutter deflects and chatters, and the thread comes out torn or the tool comes out broken — the classic first-thread-milling-job scrap story, sprung entirely by geometry. The cure is one division: centre feed = edge feed ÷ 2.5 here, and modern controls offer tool-edge feed modes that perform it automatically. The external case inverts: milling around a boss, the centre orbits outside the cutting circle, π(D + dc) = 100.53 mm against the edge’s 62.83, so the centre must run 1.6× faster than the edge feed. Same law, opposite sign — and the fatter the cutter relative to the thread, the fiercer the ratio, which quietly argues for the smallest cutter the job’s rigidity allows.

Contents

§4Single and multi form

The cutter comes in two constitutions — one thread profile that spirals the length, or a full comb of them that finishes the thread in a single lap.

The single-form cutter carries one profile ring, so producing a thread of ten pitches means ten climbing orbits — a long spiral toolpath, slow but supremely flexible: because a lone 60° profile ring belongs to no particular pitch, one such cutter can, within reason, mill different pitches simply by changing the climb per orbit, and it reaches into work (tapers, part-depth features, huge diameters) that nothing else on this page can. The multi-form cutter is the production answer: a comb of profile rings spaced exactly one pitch apart along the tool, at least as long as the thread, so a single orbit — plus the lead-in and lead-out arcs — cuts every pitch of the thread simultaneously, §2’s 7.54-second lap being nearly the whole cycle. The comb’s pitch is fixed at manufacture, so a multi-form tool serves one pitch and (as §2 showed) every diameter of it. Between them sit the practical hybrids — multi-form tools taking a roughing and a finishing orbit in tough material, and indexable-insert bodies whose profile combs are replaceable — but the constitution question stays binary: is the pitch in the tool’s teeth (fast) or in the toolpath alone (free)?

Contents

§5Why mill a thread

Every advantage on the list is the §1 split cashed in: profile in the tool, everything else in the program.

One tool, many threads: a single 2.5-pitch cutter covers the whole diameter range and both hands — a tap drawer replaced by one pocket in the carousel. Blind holes to the bottom: the cutter needs no lead chamfer and no chip room below, so the last usable thread sits within a profile’s width of the floor, where the tapping page needed a bottoming tap and still gave threads away. Hard and nasty materials: milling’s interrupted, well-cooled cuts survive hardened steels and superalloys that wreck taps, at hardnesses only grinding otherwise touches. Failure is benign: a broken tap is welded into its hole by its own flutes and routinely scraps the part; a broken thread mill falls free, the classic argument on any expensive casting. Size is a program variable: cutter compensation trims the orbit by micrometres, so a thread can be milled to gauge — grown into the GO/NOT-GO window of the measuring page — where a tap’s size is whatever the tap is. And the thrust is radial and light, kind to thin walls that a tap’s torque would wind up. The costs are honest: a capable three-axis CNC, programming care (§3), and cycle times a tap beats handily — which is exactly the ledger §6 totals.

Contents

§6Against the tap

Tap and thread mill divide the world by one question: is this hole cheap enough to risk, or expensive enough to program?

The tap’s case is overwhelming where it applies: for small holes in ordinary materials at any volume, rigid tapping is a two-second cycle from a tool costing pocket change, and no orbit can compete — production tapping owns the M3-to-M12 heartland outright, and the smallest sizes besides, where no thread mill slim enough to enter would survive the attempt. The mill’s case begins exactly where the tap’s risks and rigidities bite. Large threads, where taps become expensive, torque-hungry and machine-straining, mill from stock tools on a light spindle. Hard materials and finished parts — the §5 arguments — make the tap’s embodied gamble unacceptable: one seized tap in a five-figure housing pays for a great deal of programming. Odd requirements — a non-standard diameter at a standard pitch, a left-hand one-off, a thread to a gauged fit — are program edits for the mill and special orders for the tap drawer. And in the modern shop the decision is often fleet-level: a small library of thread mills quietly replaces hundreds of tap line-items for everything outside the heartland. The section’s production trio thus closes as a division of labour, not a contest: rolling for the world’s fasteners, tapping for the world’s holes, milling for the holes the world cannot afford to lose — with grinding standing behind all three, making their tools true.

Contents

§7Quick reference

The working core of the page on one card rack.

Motion

helical interpolation

one orbit = one pitch

Geometry

orbit Ø = D − dc = 8 mm

path 25.13 mm · 7.54 s

Feed trap

internal: centre = edge ÷ 2.5

external: centre × 1.6

Cutters

single-form spirals

multi-form: one lap

Wins

blind to bottom · hard stock

broken tool falls free

Contents

Continue learning

Thread GrindingArticle · Mechanical EngineeringNEXT LESSON →Simple, Compound, Differential and Block IndexingArticle · Mechanical EngineeringThread RollingArticle · Mechanical EngineeringTapping and Thread CuttingArticle · Mechanical Engineering