8-32 UNC tap drill size and thread dimensions

8-32 UNC has a major diameter of 4.166 mm and a pitch of 32 threads per inch (0.7937 mm). Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
3.521mm
≈ Rounded 8-32 UNC tap drill
Clearance hole
4.499
Pitch diameter
3.6500
Minor diameter of the nut thread
3.3063
Minor diameter of the bolt thread
3.1918
Tensile stress area
9.191 mm2
Breaking load at that tensile strength
7353
The old "diameter minus pitch" drill
3.372
Engagement that rule actually gives
92.4 %
Threads engaged over that length
7.81
Equivalent threads per inch
32.000
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 6.2
  4. Material tensile strength = 800
  5. major = 4.1655999999999995 = 4.1656
  6. p = 0.79375 = 0.793 75
  7. h = 0.793 75 * 0.8660254037844386 = 0.687 408
  8. Tap drill = 4.1656 - 75/100 * 1.082532 * 0.793 75 = 3.521 16
  9. The old "diameter minus pitch" drill = 4.1656 - 0.793 75 = 3.371 85
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 4.1656 - 0.649519 * 0.793 75 = 3.650 04
  12. Minor diameter of the nut thread = 4.1656 - 1.082532 * 0.793 75 = 3.306 34
  13. Minor diameter of the bolt thread = 4.1656 - 1.226869 * 0.793 75 = 3.191 77
  14. Tensile stress area = pi/4 * (4.1656 - 0.938194 * 0.793 75)^2 = 9.191 21
  15. Clearance hole = 4.1656 * (1 + 8/100) = 4.498 85
  16. Breaking load at that tensile strength = 9.191 21 * 800 = 7352.97
  17. shear_area = pi * 3.306 34 * 6.2 * (0.5 + 0.57735 * (3.650 04 - 3.306 34)/0.793 75) = 48.3004
  18. Threads engaged over that length = 0.793 75 > 0 ? 6.2 / 0.793 75 : 0 = 7.811 02
  19. Equivalent threads per inch = 0.793 75 > 0 ? 25.4 / 0.793 75 : 0 = 32

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.

    8-32 UNC at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 3.6070.1420
    70% 3.5640.1403
    75% 3.5210.1386
    80% 3.4780.1369
    85% 3.4350.1352
    90% 3.3920.1336

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

    Frequently asked

    What drill size do I need for 8-32 UNC?

    3.52 mm (0.1386 in) for 75% thread engagement. The traditional rule gives 3.37 mm, which is a tighter and harder-tapping hole.

    What is the pitch of 8-32 UNC?

    32 threads per inch (0.7937 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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