5/8-11 UNC tap drill size and thread dimensions

5/8-11 UNC has a major diameter of 15.875 mm and a pitch of 11 threads per inch (2.3091 mm). Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
14.000mm
≈ Rounded 5/8-11 UNC tap drill
Clearance hole
17.145
Pitch diameter
14.3752
Minor diameter of the nut thread
13.3753
Minor diameter of the bolt thread
13.0420
Tensile stress area
147.597 mm2
Breaking load at that tensile strength
118 078
The old "diameter minus pitch" drill
13.566
Engagement that rule actually gives
92.4 %
Threads engaged over that length
10.31
Equivalent threads per inch
11.000
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 23.8
  4. Material tensile strength = 800
  5. major = 15.875 = 15.875
  6. p = 2.309090909090909 = 2.309 09
  7. h = 2.309 09 * 0.8660254037844386 = 1.999 73
  8. Tap drill = 15.875 - 75/100 * 1.082532 * 2.309 09 = 14.0003
  9. The old "diameter minus pitch" drill = 15.875 - 2.309 09 = 13.5659
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 15.875 - 0.649519 * 2.309 09 = 14.3752
  12. Minor diameter of the nut thread = 15.875 - 1.082532 * 2.309 09 = 13.3753
  13. Minor diameter of the bolt thread = 15.875 - 1.226869 * 2.309 09 = 13.042
  14. Tensile stress area = pi/4 * (15.875 - 0.938194 * 2.309 09)^2 = 147.597
  15. Clearance hole = 15.875 * (1 + 8/100) = 17.145
  16. Breaking load at that tensile strength = 147.597 * 800 = 118 078
  17. shear_area = pi * 13.3753 * 23.8 * (0.5 + 0.57735 * (14.3752 - 13.3753)/2.309 09) = 750.054
  18. Threads engaged over that length = 2.309 09 > 0 ? 23.8 / 2.309 09 : 0 = 10.3071
  19. Equivalent threads per inch = 2.309 09 > 0 ? 25.4 / 2.309 09 : 0 = 11

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.

    5/8-11 UNC at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 14.2500.5610
    70% 14.1250.5561
    75% 14.0000.5512
    80% 13.8750.5463
    85% 13.7500.5413
    90% 13.6250.5364

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

    Frequently asked

    What drill size do I need for 5/8-11 UNC?

    14.00 mm (0.5512 in) for 75% thread engagement. The traditional rule gives 13.57 mm, which is a tighter and harder-tapping hole.

    What is the pitch of 5/8-11 UNC?

    11 threads per inch (2.3091 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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