November 3, 2026 · Indumor
In this chapter
A brand-new M10 bolt, threaded to class 6g, does not measure 10 mm: it measures somewhere between 9.732 and 9.968, and it never reaches ten. That is not a defect. ISO 965-1 takes 32 microns off the top as an allowance and gives the thread another 236 microns of tolerance below that, so it runs into any 6H nut even after plating or paint. The nominal diameter is a name; what defines the thread is the pitch and the profile.
This chapter is what you look up with the tap in your hand: the pitches from M1 to M64 and the fine pitches in common use, the tap drill, the pitch and minor diameters calculated from the ISO 724 formulas, the tensile stress area and the width across flats. Tightening torque and property classes are in chapter 18; inch threads in chapter 5; cutting threads on the lathe in chapter 8.
The flanks sit at 60° and every dimension comes from the pitch P. The height of the sharp V is H = 0.866·P; the bolt crest is truncated by H/8 and the nut root by H/4, which leaves 5/8 of H as working thread. Halfway down H sits the pitch diameter d2, where thread and space are equally wide: that is what a thread micrometer measures and what governs the fit. The bolt's minor diameter d3 sits below the nut's minor diameter because the bolt root is rounded, and the standard wants it that way: a sharp V root is a notch where a fatigue crack starts.
| Dimension | Formula | M12×1.75 mm |
|---|---|---|
| Height of the sharp V, H | H = 0.866·P | 1.516 |
| Basic thread height (crest to root) | 5/8·H = 0.5413·P | 0.947 |
| Crest truncation, bolt | H/8 = 0.1083·P | 0.189 |
| Root truncation, nut | H/4 = 0.2165·P | 0.379 |
| Width of the bolt crest flat | P/8 | 0.219 |
| Width of the nut root flat | P/4 | 0.438 |
| Pitch diameter, d2 = D2 | d − 0.6495·P | 10.863 |
| Minor diameter of the nut, D1 = d1 | d − 1.0825·P | 10.106 |
| Minor diameter of the bolt, d3 | d − 1.2269·P | 9.853 |
| Minimum root radius of the bolt (ISO 965-1) | R = 0.125·P | 0.219 |
d: nominal diameter; P: pitch; H: height of the sharp V; d2: pitch diameter; D1: minor diameter of the nut; d3: minor diameter of the bolt. All in mm.
The coarse pitch is the one implied when the designation gives no pitch: M12 means M12×1.75. The table lists 33 diameters, with the pitch stepping up irregularly in a pattern that goes back to the 1898 Zurich congress, which took the 60° Sellers profile and recast it in millimeters.
The wrench column holds a well-known trap. ISO 4014 and ISO 4032 give 16 mm across flats for M10, 18 for M12, 21 for M14 and 34 for M22; the DIN 931/933/934 fasteners still common in Europe and Latin America use 17, 19, 22 and 32; and ASME B18.2.3.1M, the North American hex cap screw standard, still lists a non-standard 15 mm M10, made to order, with 16 mm as the default. Three wrench sizes for one bolt. A full metric set carries all of them, and an 18 mm nut turned with a 19 mm wrench ends up rounded.
| Thread | Pitch P mm | d2 mm | d3 mm | Tap drill mm | As mm² | Wrench ISO mm | Wrench DIN mm |
|---|---|---|---|---|---|---|---|
| M1 | 0.25 | 0.838 | 0.693 | 0.75 | 0.46 | – | 2.5 |
| M1.2 | 0.25 | 1.038 | 0.893 | 0.95 | 0.732 | – | 3 |
| M1.4 | 0.3 | 1.205 | 1.032 | 1.1 | 0.983 | – | 3 |
| M1.6 | 0.35 | 1.373 | 1.171 | 1.25 | 1.27 | 3.2 | – |
| M2 | 0.4 | 1.740 | 1.509 | 1.6 | 2.07 | 4 | – |
| M2.5 | 0.45 | 2.208 | 1.948 | 2.05 | 3.39 | 5 | – |
| M3 | 0.5 | 2.675 | 2.387 | 2.5 | 5.03 | 5.5 | – |
| M3.5 | 0.6 | 3.110 | 2.764 | 2.9 | 6.78 | 6 | – |
| M4 | 0.7 | 3.545 | 3.141 | 3.3 | 8.78 | 7 | – |
| M5 | 0.8 | 4.480 | 4.019 | 4.2 | 14.2 | 8 | – |
| M6 | 1 | 5.350 | 4.773 | 5 | 20.1 | 10 | – |
| M7 | 1 | 6.350 | 5.773 | 6 | 28.9 | – | 11 |
| M8 | 1.25 | 7.188 | 6.466 | 6.8 | 36.6 | 13 | – |
| M10 | 1.5 | 9.026 | 8.160 | 8.5 | 58 | 16 | 17 |
| M12 | 1.75 | 10.863 | 9.853 | 10.2 | 84.3 | 18 | 19 |
| M14 | 2 | 12.701 | 11.546 | 12 | 115 | 21 | 22 |
| M16 | 2 | 14.701 | 13.546 | 14 | 157 | 24 | – |
| M18 | 2.5 | 16.376 | 14.933 | 15.5 | 192 | 27 | – |
| M20 | 2.5 | 18.376 | 16.933 | 17.5 | 245 | 30 | – |
| M22 | 2.5 | 20.376 | 18.933 | 19.5 | 303 | 34 | 32 |
| M24 | 3 | 22.051 | 20.319 | 21 | 353 | 36 | – |
| M27 | 3 | 25.051 | 23.319 | 24 | 459 | 41 | – |
| M30 | 3.5 | 27.727 | 25.706 | 26.5 | 561 | 46 | – |
| M33 | 3.5 | 30.727 | 28.706 | 29.5 | 694 | 50 | – |
| M36 | 4 | 33.402 | 31.093 | 32 | 817 | 55 | – |
| M39 | 4 | 36.402 | 34.093 | 35 | 976 | 60 | – |
| M42 | 4.5 | 39.077 | 36.479 | 37.5 | 1121 | 65 | – |
| M45 | 4.5 | 42.077 | 39.479 | 40.5 | 1306 | 70 | – |
| M48 | 5 | 44.752 | 41.866 | 43 | 1473 | 75 | – |
| M52 | 5 | 48.752 | 45.866 | 47 | 1758 | 80 | – |
| M56 | 5.5 | 52.428 | 49.252 | 50.5 | 2030 | 85 | – |
| M60 | 5.5 | 56.428 | 53.252 | 54.5 | 2362 | 90 | – |
| M64 | 6 | 60.103 | 56.639 | 58 | 2676 | 95 | – |
d2, d3 and As calculated from ISO 724 and ISO 898-1. DIN wrench column: only where it differs from ISO (M10, M12, M14 and M22) and for M1 to M1.4 and M7, which ISO 4014/4032 do not cover; a dash means "same as ISO".
Fine pitch goes where coarse does not work: thin walls, parts that have to be adjusted (turnbuckles, lock nuts, fittings) and threads that live with vibration, since the smaller helix angle resists loosening. It has more stress area than the coarse thread of the same diameter (M24×2: 384 mm² against 353), which is why automotive work uses it almost everywhere. In exchange it cross-threads more easily and is less forgiving of the tap drill: half a millimeter oversize already leaves a thin thread. It is always designated with the pitch spelled out, M12×1.25.
| Thread | Pitch P mm | d2 mm | d3 mm | Tap drill mm | As mm² | Thread | Pitch P mm | d2 mm | d3 mm | Tap drill mm | As mm² |
|---|---|---|---|---|---|---|---|---|---|---|---|
| M8×1 | 1 | 7.350 | 6.773 | 7 | 39.2 | M20×2 | 2 | 18.701 | 17.546 | 18 | 258 |
| M10×1.25 | 1.25 | 9.188 | 8.466 | 8.8 | 61.2 | M22×1.5 | 1.5 | 21.026 | 20.160 | 20.5 | 333 |
| M10×1 | 1 | 9.350 | 8.773 | 9 | 64.5 | M24×2 | 2 | 22.701 | 21.546 | 22 | 384 |
| M12×1.5 | 1.5 | 11.026 | 10.160 | 10.5 | 88.1 | M27×2 | 2 | 25.701 | 24.546 | 25 | 496 |
| M12×1.25 | 1.25 | 11.188 | 10.466 | 10.8 | 92.1 | M30×2 | 2 | 28.701 | 27.546 | 28 | 621 |
| M14×1.5 | 1.5 | 13.026 | 12.160 | 12.5 | 125 | M33×2 | 2 | 31.701 | 30.546 | 31 | 761 |
| M16×1.5 | 1.5 | 15.026 | 14.160 | 14.5 | 167 | M36×3 | 3 | 34.051 | 32.319 | 33 | 865 |
| M18×1.5 | 1.5 | 17.026 | 16.160 | 16.5 | 216 | M39×3 | 3 | 37.051 | 35.319 | 36 | 1028 |
| M20×1.5 | 1.5 | 19.026 | 18.160 | 18.5 | 272 | M42×3 | 3 | 40.051 | 38.319 | 39 | 1206 |
The rule is tap drill = d − P, and the DIN 336 chart merely rounds it to a drill that exists: M8 gives 6.75 and the chart says 6.8; M12 gives 10.25 and the chart says 10.2.
Holds for coarse and fine pitch; round to the nearest stock drill (DIN 336).
That drill leaves what American charts call a 75 % thread. Those charts measure against 3/4 of H (0.6495·P per side): with d − P the thread is P/2 per side, 77 % of that reference. Against the basic ISO nut thread, 5/8 of H, the same drill leaves 92 %. That is why nobody drills smaller: from 75 % to 100 % the nut gains almost no strength, since the bolt breaks before the nut strips, and the tap works twice as hard. An M6 tap in a 5 mm hole runs by hand; in a 4.9 mm hole it snaps.
In hard steels, austenitic stainless and gray cast iron, go a tenth of a millimeter larger (8.6 for M10): the thread drops to about 72 % and the tap stops binding. In aluminum and soft bronze, which close in behind the drill, use the chart size. In thin sheet what matters is the length of engagement, not the percentage: with less than one diameter of thread the nut strips before the bolt breaks. The same arithmetic in inches, with the 0.0130 × % / tpi formula, is in chapter 5.
A full designation gives diameter, pitch, tolerance class and hand. The class pairs a number (the grade: 4 fine, 6 medium, 8 coarse) with a letter (the position relative to the basic profile): lower case for the bolt, upper case for the nut. In h and H the tolerance zone starts at the basic profile, with no allowance; in g it starts 32 microns lower at 1.5 mm pitch, which is the figure behind the M10 at the top of the chapter; in e and f the allowance is larger, for thick coatings or threads that run hot. When a drawing says nothing, 6g and 6H are assumed.
| Written as | What it means | Where it is used |
|---|---|---|
| M10 | ISO metric thread, 10 mm, coarse pitch (1.5) implied | Everyday fasteners |
| M10×1.25 | Fine pitch 1.25; the pitch is written whenever it is not the coarse one | Automotive, tubing, adjusting parts |
| M10-6g | Bolt (external thread), medium tolerance, position g: with allowance | The usual class of commercial bolts |
| M10-6H | Nut (internal thread), medium tolerance, position H: no allowance | The usual class of nuts |
| M10-6H/6g | Nut/bolt pair, when the drawing calls out the fit | Assembly drawings |
| M10-4h | Precision bolt: fine tolerance, no allowance | Gauges, instrument spindles, ground threads |
| M10-6e, M10-6f | Bolt with more allowance than g (67 and 45 microns at 1.5 pitch) | Thick coatings, heat, threads that go in dirty |
| M10-8g, M10-7H | Coarse tolerance (bolt and nut) | Threaded rod, long threads, heavy work |
| M10-5g6g | Two grades: 5 for the pitch diameter, 6 for the major diameter | When the flank matters more than the crest |
| M10-6g-LH | Left-hand thread | Turnbuckles, grinder nuts, shafts that turn the other way |
For an M10×1.5 nut in class 6H, D1 may run from 8.376 to 8.676: with those 300 microns, any 8.5 mm drill lands inside even if it ran a tenth oversize.
The tensile stress area As is what you use to work out the load a bolt carries: force = steel strength × As. It is not the root area, which would be pessimistic, but the area of a circle whose diameter lies between pitch and minor diameters, because that is where the bolt breaks. ISO 898-1 defines it that way, and the values in the tables come from it: 58 mm² for M10, 84.3 for M12, 157 for M16, 245 for M20. An M12 in class 8.8, with 800 N/mm² tensile strength, breaks at 67 kN, nearly seven tonnes.
As: tensile stress area (mm²); d2 and d3 in mm. This is the ISO 898-1 definition.
Type the diameter and the pitch: you get d2, d3, D1, the tap drill and the stress area. The third box gives the percentage of thread left by whatever drill you have.
Worked example · four M16 holes in a plate
Four M16 through holes, hand-tapped in a 25 mm steel plate to mount a gearbox. Coarse pitch 2: tap drill 16 − 2 = 14 mm; d2 = 14.701, d3 = 13.546 and As = 157 mm².
Length of engagement: 25 mm is 1.56 diameters, plenty. Wrench for the nut and the head: 24 mm, the same in ISO and DIN.
6.8 mm: 8 − 1.25 = 6.75, rounded to the stock 6.8 mm drill. The closest inch drill is 17/64 (6.75 mm). For M8×1 fine pitch, 7 mm.
1.5 mm in the coarse series, which is the one implied. The fine pitches for M10 are 1.25 and 1 mm. The tap drill is 8.5 mm, and 1.5 mm pitch works out to 16.9 threads per inch.
Medium tolerance grade (6) in position g: the thread starts a few microns below the basic profile so it has clearance against a 6H nut. It is the normal class for commercial fasteners.
Sources: ISO 68-1:2023 (basic profile); ISO 261:1998 (general plan of diameters and pitches); ISO 262:1998 (selected sizes); ISO 724:1993 (basic dimensions); ISO 965-1:2013 (tolerances and classes); ISO 898-1 (tensile stress area As); ISO 4014, ISO 4017 and ISO 4032 (width across flats); DIN 13-1, DIN 931, DIN 933, DIN 934 and DIN 336 (tap drills); ASME B18.2.3.1M (metric hex cap screws).
Which grade to specify and how to tighten them on site.
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