M1.4 tap drill size and thread dimensions

M1.4 has a major diameter of 1.400 mm and a pitch of 0.3 mm. Every other dimension below follows from those two numbers and the 60-degree thread form.

%
%
MPa
Tap drill
1.156mm
≈ Rounded M1.4 tap drill
Clearance hole
1.512
Pitch diameter
1.2051
Minor diameter of the nut thread
1.0752
Minor diameter of the bolt thread
1.0319
Tensile stress area
0.983 mm2
Breaking load at that tensile strength
786
The old "diameter minus pitch" drill
1.100
Engagement that rule actually gives
92.4 %
Threads engaged over that length
7.00
Equivalent threads per inch
84.667
Show the working
  1. Thread engagement = 75
  2. Clearance hole allowance = 8
  3. Length of engagement = 2.1
  4. Material tensile strength = 800
  5. major = 1.4 = 1.4
  6. p = 0.3 = 0.3
  7. h = 0.3 * 0.8660254037844386 = 0.259 808
  8. Tap drill = 1.4 - 75/100 * 1.082532 * 0.3 = 1.156 43
  9. The old "diameter minus pitch" drill = 1.4 - 0.3 = 1.1
  10. Engagement that rule actually gives = 100 / 1.082532 = 92.376
  11. Pitch diameter = 1.4 - 0.649519 * 0.3 = 1.205 14
  12. Minor diameter of the nut thread = 1.4 - 1.082532 * 0.3 = 1.075 24
  13. Minor diameter of the bolt thread = 1.4 - 1.226869 * 0.3 = 1.031 94
  14. Tensile stress area = pi/4 * (1.4 - 0.938194 * 0.3)^2 = 0.982 64
  15. Clearance hole = 1.4 * (1 + 8/100) = 1.512
  16. Breaking load at that tensile strength = 0.982 64 * 800 = 786.112
  17. shear_area = pi * 1.075 24 * 2.1 * (0.5 + 0.57735 * (1.205 14 - 1.075 24)/0.3) = 5.3203
  18. Threads engaged over that length = 0.3 > 0 ? 2.1 / 0.3 : 0 = 7
  19. Equivalent threads per inch = 0.3 > 0 ? 25.4 / 0.3 : 0 = 84.6667

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.

    M1.4 at common engagements

    Engagement Tap drill (mm) Tap drill (in)
    65% 1.1890.0468
    70% 1.1730.0462
    75% 1.1560.0455
    80% 1.1400.0449
    85% 1.1240.0443
    90% 1.1080.0436

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

    Frequently asked

    What drill size do I need for M1.4?

    1.16 mm (0.0455 in) for 75% thread engagement. The traditional rule gives 1.10 mm, which is a tighter and harder-tapping hole.

    What is the pitch of M1.4?

    0.3 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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