1-64 UNC tap drill size and thread dimensions

1-64 UNC has a major diameter of 1.854 mm and a pitch of 64 threads per inch (0.3969 mm). Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
1.532mm
≈ Rounded 1-64 UNC tap drill
Clearance hole
2.003
Pitch diameter
1.5964
Minor diameter of the nut thread
1.4246
Minor diameter of the bolt thread
1.3673
Tensile stress area
1.725 mm2
Breaking load at that tensile strength
1380
The old "diameter minus pitch" drill
1.457
Engagement that rule actually gives
92.4 %
Threads engaged over that length
7.06
Equivalent threads per inch
64.000
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 2.8
  4. Material tensile strength = 800
  5. major = 1.8541999999999998 = 1.8542
  6. p = 0.396875 = 0.396 875
  7. h = 0.396 875 * 0.8660254037844386 = 0.343 704
  8. Tap drill = 1.8542 - 75/100 * 1.082532 * 0.396 875 = 1.531 98
  9. The old "diameter minus pitch" drill = 1.8542 - 0.396 875 = 1.457 32
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 1.8542 - 0.649519 * 0.396 875 = 1.596 42
  12. Minor diameter of the nut thread = 1.8542 - 1.082532 * 0.396 875 = 1.424 57
  13. Minor diameter of the bolt thread = 1.8542 - 1.226869 * 0.396 875 = 1.367 29
  14. Tensile stress area = pi/4 * (1.8542 - 0.938194 * 0.396 875)^2 = 1.724 65
  15. Clearance hole = 1.8542 * (1 + 8/100) = 2.002 54
  16. Breaking load at that tensile strength = 1.724 65 * 800 = 1379.72
  17. shear_area = pi * 1.424 57 * 2.8 * (0.5 + 0.57735 * (1.596 42 - 1.424 57)/0.396 875) = 9.398 38
  18. Threads engaged over that length = 0.396 875 > 0 ? 2.8 / 0.396 875 : 0 = 7.055 12
  19. Equivalent threads per inch = 0.396 875 > 0 ? 25.4 / 0.396 875 : 0 = 64

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.

    1-64 UNC at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 1.5750.0620
    70% 1.5530.0612
    75% 1.5320.0603
    80% 1.5100.0595
    85% 1.4890.0586
    90% 1.4680.0578

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

    Frequently asked

    What drill size do I need for 1-64 UNC?

    1.53 mm (0.0603 in) for 75% thread engagement. The traditional rule gives 1.46 mm, which is a tighter and harder-tapping hole.

    What is the pitch of 1-64 UNC?

    64 threads per inch (0.3969 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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