M1 tap drill size and thread dimensions

M1 has a major diameter of 1.000 mm and a pitch of 0.25 mm. Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
0.797mm
≈ Rounded M1 tap drill
Clearance hole
1.080
Pitch diameter
0.8376
Minor diameter of the nut thread
0.7294
Minor diameter of the bolt thread
0.6933
Tensile stress area
0.460 mm2
Breaking load at that tensile strength
368
The old "diameter minus pitch" drill
0.750
Engagement that rule actually gives
92.4 %
Threads engaged over that length
6.00
Equivalent threads per inch
101.600
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 1.5
  4. Material tensile strength = 800
  5. major = 1 = 1
  6. p = 0.25 = 0.25
  7. h = 0.25 * 0.8660254037844386 = 0.216 506
  8. Tap drill = 1 - 75/100 * 1.082532 * 0.25 = 0.797 025
  9. The old "diameter minus pitch" drill = 1 - 0.25 = 0.75
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 1 - 0.649519 * 0.25 = 0.837 62
  12. Minor diameter of the nut thread = 1 - 1.082532 * 0.25 = 0.729 367
  13. Minor diameter of the bolt thread = 1 - 1.226869 * 0.25 = 0.693 283
  14. Tensile stress area = pi/4 * (1 - 0.938194 * 0.25)^2 = 0.460 177
  15. Clearance hole = 1 * (1 + 8/100) = 1.08
  16. Breaking load at that tensile strength = 0.460 177 * 800 = 368.142
  17. shear_area = pi * 0.729 367 * 1.5 * (0.5 + 0.57735 * (0.837 62 - 0.729 367)/0.25) = 2.5778
  18. Threads engaged over that length = 0.25 > 0 ? 1.5 / 0.25 : 0 = 6
  19. Equivalent threads per inch = 0.25 > 0 ? 25.4 / 0.25 : 0 = 101.6

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • tap drill = D - (engagement / 100) x 1.082532 x P
    • pitch diameter = D - 0.649519 P
    • internal minor diameter = D - 1.082532 P
    • tensile stress area = (pi/4)(D - 0.938194 P)^2

    The familiar "drill equals diameter minus pitch" rule actually produces about 92% thread engagement, not 75%. Past roughly 75% the extra holding power is negligible and the tapping torque rises sharply, which is why 75% or even 65% is the shop standard.

    The tensile stress area formula is the ISO 898-1 definition, based on the mean of the pitch and minor diameters.

    Cut a clearance hole rather than a close fit unless the joint is dowelled: thread clearance is what lets parts line up.

    M1 at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 0.8240.0324
    70% 0.8110.0319
    75% 0.7970.0314
    80% 0.7830.0308
    85% 0.7700.0303
    90% 0.7560.0298

    Pick the nearest drill above the figure, never below it.

    Frequently asked

    What drill size do I need for M1?

    0.80 mm (0.0314 in) for 75% thread engagement. The traditional rule gives 0.75 mm, which is a tighter and harder-tapping hole.

    What is the pitch of M1?

    0.25 mm.

    Where the numbers come from

    • Thread geometry follows the ISO 68-1 basic profile shared by ISO metric and Unified inch threads; the stress-area definition is from ISO 898-1.

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