Drills: sizes, point angles and reaming

November 3, 2026  ·  Indumor

On a 10 mm drill the chisel edge is about 2 mm wide: a fifth of the diameter that crushes the material instead of cutting it, and that accounts for a third to a half of the thrust. That is why a large drill wants a pilot hole or a split point, and why a badly ground drill, with one lip longer than the other, leaves holes that are oval and bigger than the drill. This chapter covers choosing the drill, grinding it and knowing what hole it will leave. Tap drills are in chapters 4 to 6 and speeds in chapter 9.

Drill anatomy and point angles

A twist drill cuts with two lips that meet at the chisel edge; behind each lip the flank falls away at a clearance angle so the heel does not rub, and along the body two narrow lands, the margins, ride the wall and set the diameter. The point angle of a general-purpose drill is 118°; the helix of the type N drill is about 30°. DIN 1836 defines three helix types (N for steel and cast iron, H slow for brass and hard or brittle materials, W fast for aluminum and soft materials) and DIN 1412 five point forms.

118°12456l (flute length)L (overall length)Dend view of the point3751Point angle σ (118° for steel)2Cutting lips (they do the cutting)3Chisel edge (it pushes more than it cuts)4Helix: angle to the axis (type N, 25-30°)5Margins: guide the drill and set the diameter6Straight shank (Morse taper on large drills)7Web: the core; its thickness is the chisel edge length
The parts of a twist drill. In the end view, the chisel edge in red joins the two lips; the thick bands are the margins.
Point angle, helix type and angle (DIN 1836) and lip clearance by material (guide values)
MaterialPointHelix
type
Helix
°
Clearance
°
Note
Structural and low-carbon steel118°N25-30°8-12°Everyday drill; form A in large sizes
Alloy and Q&T steel, up to 35 HRC130-135°N25-30°6-9°Split point (form C); cobalt HSS
Austenitic stainless130-140°N25-35°8-12°Split point, cobalt; steady feed
Hardened steel, up to 50 HRC135-140°N20-30°5-8°Solid carbide, rigid machine
Gray cast iron118°N25-30°8-12°Form D in large sizes; cut dry
Ductile iron118-130°N25-30°8-10°Treat like carbon steel
Aluminum and soft alloys90-130°W35-45°12-15°Fast, polished helix; plenty of coolant
Copper118-130°W35-45°12-15°Like aluminum; it welds to the edge
Brass and bronze118°H10-19°10-12°Slow helix so it does not grab; 0° rake
Thermoplastics (nylon, acetal, polyethylene)60-90°N or W25-40°12-16°Light feed; air so the chip does not melt
Hard plastics (acrylic, phenolic, fiberglass)60-90°H10-19°12-15°Slow helix to avoid chipping; carbide for fiber
Thin sheet and tube118-135°N25-30°8-12°Form E (180° with spur): no burr
Point forms per DIN 1412
FormWhat it isWhat it is for
AThinned web: shorter chisel edgeLarge diameters; less thrust
BThinned web and corrected lips (reduced rake)High-strength, tough steels
CSplit point: the chisel edge is reduced to a pointAlloy, stainless and hardened steels; self-centering
DDouble angle: 118° with a 90° corner chamferGray cast iron and abrasive materials
E180° point with a centering spurThin sheet and tube: round hole, no triangular hole

When grinding by hand three things matter: that both lips are the same length and make the same angle with the axis, that there is clearance (8° to 12°; you can see it because the lip is the highest part of the flank) and that the chisel edge is not left long. A lip longer than the other does all the work, the drill walks, the hole comes out oversize and the drill breaks sooner. Check it with a drill point gauge or by measuring both lips with a caliper.

αcutting directionLIP CLEARANCEα: lip clearance, 8° to 12° in steelwithout it the heel rubs: no feedabDCORRECT GRINDequal lips, equal anglesthe hole measures Dabhole > DUNEVEN GRINDone lip longer: only one cutsthe hole comes out oversize and crooked
Left, the lip seen edge-on: behind it the flank has to fall away at the angle α. Center and right, what lip symmetry does to the hole.

Standard series: DIN 338, 340, 345 and Morse tapers

The everyday drill is the DIN 338 jobber, straight shank up to 20 mm, diameter toleranced h8 (a 10 mm drill measures between 9.978 and 10.000). DIN 340 is the long series; DIN 1897 the stub, stiffer, for hand drills and machining centers. From 3 to 100 mm the DIN 345 has a Morse taper shank that goes straight into the lathe tailstock or the drill press spindle (taper dimensions are in chapter 11); the taper number depends on the diameter. Solid carbide drills (DIN 6537) belong on rigid machines with through-coolant and run three or four times the speed of HSS. In inch shops the equivalents are the jobber, taper-length and screw-machine series of ASME B94.11M.

Twist drill series: diameter range, shank and lengths of a 10 mm drill
StandardSeriesMin dia.
mm
Max dia.
mm
Shank10 mm: overall
mm
10 mm: flute
mm
DIN 1897Stub (screw-machine length)0.540straight8943
DIN 338Jobber: the everyday drill0.220straight13387
DIN 340Long series120straight184121
DIN 1869Extra long, series 1, 2 and 31.613straight265 / 340 / 430185 / 235 / 295
DIN 345Morse taper shank3100Morse taper 1 to 616887
DIN 6537Solid carbide, K (3×D) and L (5×D)320straight, DIN 653589 (K) / 103 (L)47 (K) / 61 (L)
DIN 345: Morse taper of the shank by drill diameter, with an example length
TaperDia. from
mm
Dia. to
mm
Example dia.
mm
Overall
mm
Flute
mm
MK 13141016887
MK 214.252320238140
MK 323.2531.7530296175
MK 43250.540349200
MK 55176–––
MK 677100–––

Blind holes: the point takes depth

The cone of the point takes up depth, 0.3 times the diameter at 118°. If the drawing asks for a 20 mm deep blind hole at full diameter with a 12 mm drill, the depth stop goes at 20 + 3.6 = 23.6 mm, and there has to be wall beyond it. In a blind tapped hole you also add the chamfer of the tap, which does not thread to full diameter. The formula works for any point angle.

lp = D2 · tan(θ/2)      ltotal = lfull + lp

lp: length of the point in mm · D: drill diameter in mm · θ: point angle. At 118°, lp = 0.30 · D; at 135°, 0.21 · D; at 90°, 0.5 · D. lfull is the full-diameter depth the drawing asks for.

Length of the drill point by diameter and point angle: lp = D / (2 · tan(θ/2)). At 118°, lp = 0.30 · D
Drill dia.
mm
90°
mm
118°
mm
130°
mm
135°
mm
140°
mm
Drill dia.
mm
90°
mm
118°
mm
130°
mm
135°
mm
140°
mm
21.000.600.470.410.36147.004.213.262.902.55
31.500.900.700.620.55168.004.813.733.312.91
42.001.200.930.830.73189.005.414.203.733.28
52.501.501.171.040.912010.006.014.664.143.64
63.001.801.401.241.092512.507.515.835.184.55
84.002.401.871.661.463015.009.016.996.215.46
105.003.002.332.071.824020.0012.029.338.287.28
126.003.612.802.492.185025.0015.0211.6610.369.10

Total depth of a blind hole

The full-diameter depth is what the drawing asks for; the calculator adds the cone of the point.

Worked example · a blind hole for an M10 thread and a 12H7

Blind M10 thread in a steel plate, 15 mm of usable thread. Tap drill: 8.5 mm. To the 15 mm add the chamfer of the tap, which does not thread to full diameter (on a plug machine tap, 2 to 3 pitches: 3 × 1.5 = 4.5 mm), and 2 mm for chips: 21.5 mm, rounded to 22 mm of full-diameter depth. Point at 118°: 0.3 × 8.5 = 2.55 mm. Depth stop or program: 22 + 2.55 = 24.55 mm, and the plate has to be at least 28 mm thick to leave wall underneath.

Bushing with a 12H7 bore (12.000 to 12.018): drill 11.8 mm, 0.2 mm of allowance, then run a 12H7 machine reamer at half the drill's rpm and twice the feed, with cutting oil. If the hole comes out at 12.02 or more, the reamer is working with a built-up edge or the drill left too much stock.

Clearance holes for bolts (ISO 273)

A bolt passes through a hole larger than its thread. ISO 273 gives three series: fine, for machined parts with accurate positions; medium, the usual one; coarse, for structures, folded sheet and parts where the holes have to absorb position errors. For an M10 that is 10.5, 11 or 12 mm. ASME B18.2.8 does the same job for inch screws.

Clearance holes for bolts per ISO 273: fine, medium and coarse series
ThreadFine
mm
Medium
mm
Coarse
mm
ThreadFine
mm
Medium
mm
Coarse
mm
M33.23.43.6M18192021
M44.34.54.8M20212224
M55.35.55.8M22232426
M66.46.67M24252628
M88.4910M27283032
M1010.51112M30313335
M121313.514.5M33343638
M141515.516.5M36373942
M161717.518.5

Countersinks and counterbores

A flat countersunk screw (DIN 7991, ISO 10642) needs a 90° cone whose diameter at the surface is slightly larger than the theoretical head, so the head sits flush; ISO 15065 fixes countersinks only for ISO 7721 heads, up to M10, and the table gives a shop diameter and the depth that follows from the geometry. A socket head cap screw (DIN 912, ISO 4762) goes in a cylindrical counterbore per DIN 974-1, with a diameter that clears the key and a depth that hides the head. A 90° countersink also deburrs any hole, and two turns by hand are enough. Inch countersunk screws use an 82° head, not 90°, so the countersink has to match.

90°d2td190° countersinkDIN 7991 / ISO 10642 flat head screw, flush with the surfaced2td1Cylindrical counterboreDIN 912 / ISO 4762 socket head cap screw, DIN 974-1
d1 is the clearance hole, d2 the diameter of the countersink or counterbore and t its depth. The lower plate carries the thread.
90° countersink for ISO 10642 / DIN 7991 flat countersunk head screws: theoretical head dk per ISO 10642, countersink diameter d2 = dk + 0.3 mm (shop rule) and depth t from the geometry
ScrewHole
ISO 273 medium
Head dk
mm
Height k
mm
Countersink d2
mm
Depth t
mm
M33.46.721.867.01.80
M44.58.962.489.32.40
M55.511.203.1011.53.00
M66.613.443.7213.73.55
M8917.924.9618.24.60
M101122.406.2022.75.85
M1213.526.887.4427.26.85
M1415.530.808.4031.17.80
M1617.533.608.8033.98.20
M202240.3210.1640.69.30

The DIN 7991 head is somewhat smaller (k = 1.7 mm on M3, 4.4 on M8 and 8.5 on M20): with these sizes it sits below the surface by 0.3 mm (M3) to 1.8 mm (M20).

Cylindrical counterbore per DIN 974-1 (series 1) for DIN 912 / ISO 4762 socket head cap screws
ScrewHole
ISO 273 medium
Head dk
mm
Height k
mm
Counterbore d2
mm
Depth t
mm
M33.45.536.53.4
M44.57484.6
M55.58.55105.7
M66.6106116.8
M89138159
M101116101811
M1213.518122013
M1415.521142415
M1617.524162617.5
M202230203321.5
M242636244025.5

DIN 974-1 fixes the diameter d2; the depth t is a guide value: the head height k plus a clearance.

Reaming: stock allowance and H7 reamers

A drill leaves a hole slightly larger than itself, 0.05 to 0.15 mm, and out of round; when the drawing calls for H7 (a bushing, a dowel pin, the seat of a small bearing) you drill undersize and finish with a reamer. The allowance must be small, 0.2 mm up to 10 mm diameter and 0.3 to 0.5 on large ones. Too little and the reamer rubs and dulls; too much and it loads up and cuts oversize. Run it at half the drill's rpm and two or three times the feed, with oil, and never back it out in reverse, because that scores the wall. H7 tolerances are in chapter 3.

Pre-drill and stock allowance for reaming to H7, with the H7 hole tolerance per ISO 286-2 (guide values)
Reamer
mm
Pre-drill
mm
Allowance
mm
H7
µm
Reamer
mm
Pre-drill
mm
Allowance
mm
H7
µm
32.80.2+10 / 02019.750.25+21 / 0
43.80.2+12 / 02221.50.5+21 / 0
54.80.2+12 / 02524.50.5+21 / 0
65.80.2+12 / 02827.50.5+21 / 0
87.80.2+15 / 03029.50.5+21 / 0
109.80.2+15 / 03231.50.5+25 / 0
1211.80.2+18 / 03534.50.5+25 / 0
1413.80.2+18 / 04039.50.5+25 / 0
1615.750.25+18 / 04544.50.5+25 / 0
1817.750.25+18 / 05049.50.5+25 / 0

Number and letter drills

American drawings and manuals name small drills by a number (from #80, 0.0135 in, to #1, 0.228 in) and medium ones by a letter (from A, 0.234 in, to Z, 0.413 in). The series is based on the 19th-century Stubs steel wire gauge and follows no formula; #7 is the tap drill for 1/4-20 and F for 5/16-18 (chapter 5). The sizes are those of ASME B94.11M, exact; the finder at the end converts a number or letter to millimeters and finds the closest one to a metric size.

Number drills #80 to #1 per ASME B94.11M, in inches and millimeters
No.InchesmmNo.InchesmmNo.InchesmmNo.Inchesmm
#800.01350.343#600.04001.016#400.09802.489#200.16104.089
#790.01450.368#590.04101.041#390.09952.527#190.16604.216
#780.01600.406#580.04201.067#380.10152.578#180.16954.305
#770.01800.457#570.04301.092#370.10402.642#170.17304.394
#760.02000.508#560.04651.181#360.10652.705#160.17704.496
#750.02100.533#550.05201.321#350.11002.794#150.18004.572
#740.02250.572#540.05501.397#340.11102.819#140.18204.623
#730.02400.610#530.05951.511#330.11302.870#130.18504.699
#720.02500.635#520.06351.613#320.11602.946#120.18904.801
#710.02600.660#510.06701.702#310.12003.048#110.19104.851
#700.02800.711#500.07001.778#300.12853.264#100.19354.915
#690.02920.742#490.07301.854#290.13603.454#90.19604.978
#680.03100.787#480.07601.930#280.14053.569#80.19905.055
#670.03200.813#470.07851.994#270.14403.658#70.20105.105
#660.03300.838#460.08102.057#260.14703.734#60.20405.182
#650.03500.889#450.08202.083#250.14953.797#50.20555.220
#640.03600.914#440.08602.184#240.15203.861#40.20905.309
#630.03700.940#430.08902.261#230.15403.912#30.21305.410
#620.03800.965#420.09352.375#220.15703.988#20.22105.613
#610.03900.991#410.09602.438#210.15904.039#10.22805.791
Letter drills A to Z per ASME B94.11M, in inches and millimeters
LetterInchesmmLetterInchesmm
A0.2345.944N0.3027.671
B0.2386.045O0.3168.026
C0.2426.147P0.3238.204
D0.2466.248Q0.3328.433
E0.2506.350R0.3398.611
F0.2576.528S0.3488.839
G0.2616.629T0.3589.093
H0.2666.756U0.3689.347
I0.2726.909V0.3779.576
J0.2777.036W0.3869.804
K0.2817.137X0.39710.084
L0.2907.366Y0.40410.262
M0.2957.493Z0.41310.490

Number and letter drill finder

Pick a drill to see its size, or type a size in millimeters to find the closest number or letter drill.

Frequently asked questions

What size drill for an M8 clearance hole?

9 mm in the ISO 273 medium series, which is the usual one. The fine series calls for 8.4 mm (machined parts with accurate positions) and the coarse series 10 mm (structures and folded sheet). For M10: 10.5, 11 or 12 mm.

What point angle does a drill for steel have?

118°, with 8° to 12° of lip clearance, for structural and low-carbon steel. For quenched-and-tempered and stainless steels, 130° to 135° with a split point, which centers itself and needs less thrust. Aluminum takes a fast helix (type W); brass a slow one (type H).

How many millimeters is a #7 drill?

0.201 in, which is 5.105 mm; it is the tap drill for 1/4-20 UNC. Letter drills follow #1 (0.228 in): A is 0.234 in (5.944 mm) and Z is 0.413 in (10.490 mm).

Sources: ASME B94.11M-1993, Twist Drills, Straight Shank and Taper Shank; DIN 338, DIN 340, DIN 345, DIN 1897, DIN 1869, DIN 6537 (twist drill series); DIN 1836 (helix types N, H and W); DIN 1412 (point forms); ISO 273:1979 (clearance holes); ISO 10642 and DIN 7991 (countersunk head screws); ISO 15065 (countersinks for ISO 7721 heads); DIN 974-1 (counterbores); DIN 912 / ISO 4762; ISO 286-2 (H7 tolerance); Machinery's Handbook, 31st edition (2020).

Keep reading

Chapter 9: cutting speed and rpm

The rpm for each drill and material, and the rpm chart by diameter.

Read →

Spare parts without drawings

How a part is made from the original, holes and fits included.

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Handbook index

The twenty-five chapters and the appendices.

See the index →

Need parts with H7 bores or tapped holes?

From a drawing or a sample part, we drill, ream and tap them in our shop in Córdoba, Argentina.