Morse tapers MT0–MT7 and 4-1/2: gauge diameter, small end, taper per foot, plug depth, shank length, tang length + taper plug and ring gauges

length

254.0 mm

width

124.6 mm

height

124.6 mm

Notes

• A Morse taper (MT, 'Morse Kegel' MK in German) is a self-holding taper of about 5/8 in per foot (≈ 1:20, a little different per size) on drill shanks, lathe tailstock and headstock spindles, mill arbors and drill-press spindles. The table is in the inch units the taper is defined in, with mm computed (× 25.4, to 0.001 mm). A is the diameter at the gauge line (large end of the plug / mouth of the socket), D the small-end diameter, 'plug depth' the taper length from A to D (threadcheck's plug gauge lengths and cgtk's L2 agree), 'shank length' B the overall length including the tang, and T the tang length. R is the tang radius.
• Check: for every size the published taper per foot equals (A − D) ÷ plug depth × 12 to within 0.002 in per foot (the Handbook's tolerance on rate of taper is 0.002 in per foot, all sizes). Agreement: A and D agree between Machinery's Handbook, threadcheck, cgtk (D1, D2) and AIMS for MT0 to MT7 and 4-1/2 (AIMS rounds the third decimal: MT3 small end 19.762 against 19.761 computed). Plug depth from threadcheck / cgtk agrees with tools-n-gizmos' socket depth for each size. Shank length B in tools-n-gizmos agrees with cgtk's L1 for MT0 to MT6 and with Engineers Edge for MT1 to MT3; cgtk's L1 for MT7 (141.275 mm) disagrees with tools-n-gizmos' 11-5/8 in, so MT7 B is left blank here, and MT4-1/2 has no published B or T in the sources read.
• Disagreement kept: AIMS Industrial's 'length' column prints 50.8, 53.5, 64.3, 81.0, 102.0, 114.3, 132.0, 184.0 and 254.0 mm, which is not the plug depth of the inch tables for MT1, MT2, MT4, MT5 and MT6 (the plug depths 53.975, 65.087, 103.188, 131.762 and 184.150 mm); the AIMS column is shown for comparison only and is not used. Tang radius R (Machinery's Handbook, 'R'): 0.1562, 0.2031, 0.2500, 0.3125, 0.4687, 0.6250, 0.7500, 1.1250 in for MT0 to MT7; it equals cgtk's 'H' in mm, so cgtk's 'H' and 'R' labels are not the same as the Handbook's.
• Models: for MT0 to MT7 there are two files each. The plug gauge is a frustum with the published A, D and plug depth (the tapered portion only; tang, collar and keyway are not drawn because the tang thickness, flat length and undercut diameter columns could not be assigned to sizes reliably). The ring gauge is a square block with a through taper bore of the same A → D over the plug depth: a stand-in for the standard's socket, which is deeper. Block width (1.5 × A, rounded) is an Xem choice. Both are exact nominal; allow your process's tolerance on the taper (the standard's tolerance on the taper is small, so ream or grind to gauge).
• Not here: Brown & Sharpe, Jacobs and Jarno tapers, metric tapers 80 / 100 / 120 / 160 / 200, tang thickness and keyway dimensions, ISO 296 tolerance classes (the free ISO 296:1974 sample is not legible), and R8, which has no published dimension table in the sources found.

Morse tapers MT0–MT7 and 4-1/2: gauge diameter, small end, taper per… size chart

Mating features

Drawn at the exact size. Open press, slide, run and socket features by your process's clearance (tolerances by process); leave designed gaps and clamp fits as drawn.

Where the files are

Other publishers' files are linked, not hosted. "verify" = check the license at the link before commercial use.

Free files

★ Free files 16 parts. Generated by Xem Studio from the standard; threads are plain cylinders at major diameter. CC BY 4.0. index.json

Plain text: sheet.txt · JSON: /api/geometry?object=morse-tapers-mt0-mt7

Fits with

Free

ER collets ER8, ER11, ER16, ER20, ER25, ER32, ER40, ER50: collet diameter, length, clamping range and nut thread (DIN 6499 / ISO 15488)8 sizes★ sheetFree

7:24 tool-holder tapers 30, 40, 50: CAT, BT and NMTB gauge diameter, flange diameter, length and draw bar thread (CAT40, BT40, DIN 2080)9 sizes★ sheetFree

Taper pins: ISO 2339 / DIN 1 (1:50) and ANSI / ASME No. 7/0 to No. 14 (1/4 in per foot): diameters, taper, lengths + example taper pin models17.9×17.9×50.8 mm★ 24 filesFree

Taper-Lock bushings 1008 to 5050: bore range, length through bore, set screw and cap screw sizes18 sizes★ sheetFree

QD bushings SH, SDS, SD: length, bolt circle, flange diameter and cap screws3 sizes★ sheet