M18x1.5 tap drill size and thread dimensions

M18x1.5 has a major diameter of 18.000 mm and a pitch of 1.5 mm. Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
16.782mm
≈ Rounded M18x1.5 tap drill
Clearance hole
19.440
Pitch diameter
17.0257
Minor diameter of the nut thread
16.3762
Minor diameter of the bolt thread
16.1597
Tensile stress area
216.234 mm2
Breaking load at that tensile strength
172 987
The old "diameter minus pitch" drill
16.500
Engagement that rule actually gives
92.4 %
Threads engaged over that length
18.00
Equivalent threads per inch
16.933
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 27
  4. Material tensile strength = 800
  5. major = 18 = 18
  6. p = 1.5 = 1.5
  7. h = 1.5 * 0.8660254037844386 = 1.299 04
  8. Tap drill = 18 - 75/100 * 1.082532 * 1.5 = 16.7822
  9. The old "diameter minus pitch" drill = 18 - 1.5 = 16.5
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 18 - 0.649519 * 1.5 = 17.0257
  12. Minor diameter of the nut thread = 18 - 1.082532 * 1.5 = 16.3762
  13. Minor diameter of the bolt thread = 18 - 1.226869 * 1.5 = 16.1597
  14. Tensile stress area = pi/4 * (18 - 0.938194 * 1.5)^2 = 216.234
  15. Clearance hole = 18 * (1 + 8/100) = 19.44
  16. Breaking load at that tensile strength = 216.234 * 800 = 172 987
  17. shear_area = pi * 16.3762 * 27 * (0.5 + 0.57735 * (17.0257 - 16.3762)/1.5) = 1041.81
  18. Threads engaged over that length = 1.5 > 0 ? 27 / 1.5 : 0 = 18
  19. Equivalent threads per inch = 1.5 > 0 ? 25.4 / 1.5 : 0 = 16.9333

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.

    M18x1.5 at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 16.9450.6671
    70% 16.8630.6639
    75% 16.7820.6607
    80% 16.7010.6575
    85% 16.6200.6543
    90% 16.5390.6511

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

    Frequently asked

    What drill size do I need for M18x1.5?

    16.78 mm (0.6607 in) for 75% thread engagement. The traditional rule gives 16.50 mm, which is a tighter and harder-tapping hole.

    What is the pitch of M18x1.5?

    1.5 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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