12-28 UNF tap drill size and thread dimensions

12-28 UNF has a major diameter of 5.486 mm and a pitch of 28 threads per inch (0.9071 mm). Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
4.750mm
≈ Rounded 12-28 UNF tap drill
Clearance hole
5.925
Pitch diameter
4.8972
Minor diameter of the nut thread
4.5044
Minor diameter of the bolt thread
4.3735
Tensile stress area
16.875 mm2
Breaking load at that tensile strength
13 500
The old "diameter minus pitch" drill
4.579
Engagement that rule actually gives
92.4 %
Threads engaged over that length
9.04
Equivalent threads per inch
28.000
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 8.2
  4. Material tensile strength = 800
  5. major = 5.4864 = 5.4864
  6. p = 0.9071428571428571 = 0.907 143
  7. h = 0.907 143 * 0.8660254037844386 = 0.785 609
  8. Tap drill = 5.4864 - 75/100 * 1.082532 * 0.907 143 = 4.749 89
  9. The old "diameter minus pitch" drill = 5.4864 - 0.907 143 = 4.579 26
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 5.4864 - 0.649519 * 0.907 143 = 4.897 19
  12. Minor diameter of the nut thread = 5.4864 - 1.082532 * 0.907 143 = 4.504 39
  13. Minor diameter of the bolt thread = 5.4864 - 1.226869 * 0.907 143 = 4.373 45
  14. Tensile stress area = pi/4 * (5.4864 - 0.938194 * 0.907 143)^2 = 16.8752
  15. Clearance hole = 5.4864 * (1 + 8/100) = 5.925 31
  16. Breaking load at that tensile strength = 16.8752 * 800 = 13 500.2
  17. shear_area = pi * 4.504 39 * 8.2 * (0.5 + 0.57735 * (4.897 19 - 4.504 39)/0.907 143) = 87.0284
  18. Threads engaged over that length = 0.907 143 > 0 ? 8.2 / 0.907 143 : 0 = 9.039 37
  19. Equivalent threads per inch = 0.907 143 > 0 ? 25.4 / 0.907 143 : 0 = 28

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.

    12-28 UNF at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 4.8480.1909
    70% 4.7990.1889
    75% 4.7500.1870
    80% 4.7010.1851
    85% 4.6520.1831
    90% 4.6030.1812

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

    Frequently asked

    What drill size do I need for 12-28 UNF?

    4.75 mm (0.1870 in) for 75% thread engagement. The traditional rule gives 4.58 mm, which is a tighter and harder-tapping hole.

    What is the pitch of 12-28 UNF?

    28 threads per inch (0.9071 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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