M24 tap drill size and thread dimensions

M24 has a major diameter of 24.000 mm and a pitch of 3.0 mm. Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
21.564mm
≈ Rounded M24 tap drill
Clearance hole
25.920
Pitch diameter
22.0514
Minor diameter of the nut thread
20.7524
Minor diameter of the bolt thread
20.3194
Tensile stress area
352.504 mm2
Breaking load at that tensile strength
282 003
The old "diameter minus pitch" drill
21.000
Engagement that rule actually gives
92.4 %
Threads engaged over that length
12.00
Equivalent threads per inch
8.467
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 36
  4. Material tensile strength = 800
  5. major = 24 = 24
  6. p = 3 = 3
  7. h = 3 * 0.8660254037844386 = 2.598 08
  8. Tap drill = 24 - 75/100 * 1.082532 * 3 = 21.5643
  9. The old "diameter minus pitch" drill = 24 - 3 = 21
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 24 - 0.649519 * 3 = 22.0514
  12. Minor diameter of the nut thread = 24 - 1.082532 * 3 = 20.7524
  13. Minor diameter of the bolt thread = 24 - 1.226869 * 3 = 20.3194
  14. Tensile stress area = pi/4 * (24 - 0.938194 * 3)^2 = 352.504
  15. Clearance hole = 24 * (1 + 8/100) = 25.92
  16. Breaking load at that tensile strength = 352.504 * 800 = 282 003
  17. shear_area = pi * 20.7524 * 36 * (0.5 + 0.57735 * (22.0514 - 20.7524)/3) = 1760.28
  18. Threads engaged over that length = 3 > 0 ? 36 / 3 : 0 = 12
  19. Equivalent threads per inch = 3 > 0 ? 25.4 / 3 : 0 = 8.466 67

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.

    M24 at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 21.8890.8618
    70% 21.7270.8554
    75% 21.5640.8490
    80% 21.4020.8426
    85% 21.2400.8362
    90% 21.0770.8298

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

    Frequently asked

    What drill size do I need for M24?

    21.56 mm (0.8490 in) for 75% thread engagement. The traditional rule gives 21.00 mm, which is a tighter and harder-tapping hole.

    What is the pitch of M24?

    3.0 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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