2001-06-12, Rev. 2002-09-10. | © 2002 Garrett D. Euler |
All countries in the world except USA, Liberia, and Myanmar use millimeters (mm). USA citizens: Conversion factor is 25.400000 mm/inch. Areas herein are accurate to five significant digits using exact converted USA diameters and pitches (not rounded USA diameters and pitches listed herein). M and MJ are metric thread profiles.  Size designations not beginning with "M" in Table 1 are UN and UNJ thread profiles (non-metric).  Blank values in Table 1 mean nonexistent fastener size. Dark shaded values mean typically never used and typically unavailable fastener size.
Table 1 Standard Metric and USA Bolt Shank Dimensions (All dimensions in units of mm or mm2 unless otherwise specified.)
Coarse Pitch Threads | Fine Pitch Threads | |||||||||||||
Size Desig- nation | Nominal (Major) Diam- eter,
Dn |
Nominal Shank Area, An | Threads per
inch, n |
Pitch (mm per thread), p | Pitch Dia- meter, dp | Minor Dia- meter Area,
As |
M, UNC, UNRC Tensile Stress Area,
A ts |
MJ, UNJC Tensile Stress Area,
A ts |
Threads per
inch, n |
Pitch
(mm per thread), p |
Pitch Dia- meter, dp | Minor Dia- meter Area,
As |
M, UNF, UNRF Tensile Stress Area,
A ts |
MJ, UNJF Tensile Stress Area,
A ts |
0 | 1.5240 | 1.8241 | 80 | 0.31750 | 1.3178 | 0.9704 | 1.1588 | 1.3639 | ||||||
M1.6 | 1.6000 | 2.0106 | 0.35000 | 1.3727 | 1.0762 | 1.2700 | 1.4799 | |||||||
1 | 1.8542 | 2.7002 | 64 | 0.39688 | 1.5964 | 1.4074 | 1.6915 | 2.0016 | 72 | 0.35278 | 1.6251 | 1.5304 | 1.7920 | 2.0741 |
M2 | 2.0000 | 3.1416 | 0.40000 | 1.7402 | 1.7890 | 2.0732 | 2.3784 | |||||||
2 | 2.1844 | 3.7476 | 56 | 0.45357 | 1.8898 | 1.9986 | 2.3847 | 2.8049 | 64 | 0.39688 | 1.9266 | 2.1874 | 2.5383 | 2.9153 |
M2.5 | 2.5000 | 4.9087 | 0.45000 | 2.2077 | 2.9801 | 3.3908 | 3.8280 | |||||||
3 | 2.5146 | 4.9662 | 48 | 0.52917 | 2.1709 | 2.6222 | 3.1386 | 3.7014 | 56 | 0.45357 | 2.2200 | 2.9116 | 3.3741 | 3.8707 |
4 | 2.8448 | 6.3561 | 40 | 0.63500 | 2.4324 | 3.2045 | 3.8922 | 4.6467 | 48 | 0.52917 | 2.5011 | 3.6555 | 4.2611 | 4.9130 |
M3 | 3.0000 | 7.0686 | 0.50000 | 2.6752 | 4.4734 | 5.0308 | 5.6210 | |||||||
M3.5 | 3.5000 | 9.6211 | 0.60000 | 3.1103 | 5.9997 | 6.7752 | 7.5979 | |||||||
6 | 3.5052 | 9.6497 | 32 | 0.79375 | 2.9896 | 4.8075 | 5.8615 | 7.0199 | 40 | 0.63500 | 3.0928 | 5.6424 | 6.5440 | 7.5124 |
M4 | 4.0000 | 12.566 | 0.70000 | 3.5453 | 7.7496 | 8.7787 | 9.8720 | |||||||
8 | 4.1656 | 13.628 | 32 | 0.79375 | 3.6500 | 7.7166 | 9.0379 | 10.464 | 36 | 0.70556 | 3.7073 | 8.2910 | 9.5016 | 10.795 |
10 | 4.8260 | 18.292 | 24 | 1.0583 | 4.1386 | 9.3546 | 11.311 | 13.452 | 32 | 0.79375 | 4.3104 | 11.311 | 12.899 | 14.593 |
M5 | 5.0000 | 19.635 | 0.8000 | 4.4804 | 12.683 | 14.183 | 15.766 | |||||||
12 | 5.4864 | 23.641 | 24 | 1.0583 | 4.7990 | 13.277 | 15.590 | 18.088 | 28 | 0.90714 | 4.8972 | 14.576 | 16.638 | 18.836 |
M6 | 6.0000 | 28.274 | 1.0000 | 5.3505 | 17.894 | 20.123 | 22.484 | |||||||
0.2500 | 6.3500 | 31.669 | 20 | 1.2700 | 5.5251 | 17.351 | 20.530 | 23.976 | 28 | 0.90714 | 5.7608 | 21.006 | 23.467 | 26.065 |
0.3125 | 7.9375 | 49.483 | 18 | 1.4111 | 7.0210 | 29.267 | 33.826 | 38.715 | 24 | 1.0583 | 7.2501 | 33.826 | 37.462 | 41.284 |
M8 | 8.0000 | 50.265 | 1.2500 | 7.1881 | 32.841 | 36.609 | 40.581 | 1.0000 | 7.3505 | 36.030 | 39.167 | 42.435 | ||
0.3750 | 9.5250 | 71.256 | 16 | 1.5875 | 8.4939 | 43.741 | 49.994 | 56.663 | 24 | 1.0583 | 8.8376 | 52.170 | 56.663 | 61.342 |
M10 | 10.000 | 78.540 | 1.5000 | 9.0257 | 52.292 | 57.990 | 63.981 | 1.2500 | 9.1881 | 56.297 | 61.199 | 66.304 | ||
0.4375 | 11.112 | 96.987 | 14 | 1.8143 | 9.9341 | 60.210 | 68.586 | 77.508 | 20 | 1.2700 | 10.288 | 70.327 | 76.591 | 83.123 |
M12 | 12.000 | 113.10 | 1.7500 | 10.863 | 76.247 | 84.267 | 92.687 | 1.2500 | 11.188 | 86.037 | 92.072 | 98.311 | ||
0.5000 | 12.700 | 126.68 | 13 | 1.9538 | 11.431 | 81.103 | 91.548 | 102.63 | 20 | 1.2700 | 11.875 | 95.903 | 103.20 | 110.76 |
M14 | 14.000 | 153.94 | 2.0000 | 12.701 | 104.71 | 115.44 | 126.70 | 1.5000 | 13.026 | 116.13 | 124.55 | 133.26 | ||
0.5625 | 14.288 | 160.33 | 12 | 2.1167 | 12.913 | 104.55 | 117.38 | 130.96 | 18 | 1.4111 | 13.371 | 121.82 | 130.96 | 140.42 |
0.6250 | 15.875 | 197.93 | 11 | 2.3091 | 14.375 | 130.20 | 145.81 | 162.30 | 18 | 1.4111 | 14.958 | 154.86 | 165.13 | 175.74 |
M16 | 16.000 | 201.06 | 2.0000 | 14.701 | 144.12 | 156.67 | 169.74 | 1.5000 | 15.026 | 157.47 | 167.25 | 177.32 | ||
0.7500 | 19.050 | 285.02 | 10 | 2.5400 | 17.400 | 194.84 | 215.78 | 237.79 | 16 | 1.5875 | 18.019 | 226.65 | 240.62 | 255.00 |
M20 | 20.000 | 314.16 | 2.5000 | 18.376 | 225.19 | 244.79 | 265.22 | 1.5000 | 19.026 | 259.00 | 271.50 | 284.30 | ||
M22* | 22.000 | 380.13 | 2.5000 | 20.376 | 281.53 | 303.40 | 326.09 | 1.5000 | 21.026 | 319.20 | 333.06 | 347.21 | ||
0.8750 | 22.225 | 387.95 | 9 | 2.8222 | 20.392 | 270.51 | 297.89 | 326.59 | 14 | 1.8143 | 21.047 | 310.03 | 328.69 | 347.90 |
M24 | 24.000 | 452.39 | 3.0000 | 22.051 | 324.27 | 352.50 | 381.91 | 2.0000 | 22.701 | 364.61 | 384.42 | 404.74 | ||
1.0000 | 25.400 | 506.71 | 8 | 3.1750 | 23.338 | 355.51 | 390.80 | 427.77 | 12 | 2.1167 | 24.025 | 402.94 | 427.77 | 453.34 |
M27* | 27.000 | 572.56 | 3.0000 | 25.051 | 427.09 | 459.41 | 492.90 | 2.0000 | 25.701 | 473.22 | 495.74 | 518.79 | ||
1.1250 | 28.575 | 641.30 | 7 | 3.6286 | 26.218 | 447.18 | 492.44 | 539.88 | 12 | 2.1167 | 27.200 | 523.82 | 552.08 | 581.08 |
M30 | 30.000 | 706.86 | 3.5000 | 27.727 | 518.99 | 560.59 | 603.79 | 2.0000 | 28.701 | 595.96 | 621.20 | 646.97 | ||
1.2500 | 31.750 | 791.73 | 7 | 3.6286 | 29.393 | 574.10 | 625.23 | 678.55 | 12 | 2.1167 | 30.375 | 660.54 | 692.22 | 724.65 |
M33 | 33.000 | 855.30 | 3.5000 | 30.727 | 647.19 | 693.55 | 2.0000 | 31.701 | 732.83 | 760.80 | 789.29 | |||
1.3750 | 34.925 | 957.99 | 6 | 4.2333 | 32.175 | 680.06 | 745.09 | 813.09 | 12 | 2.1167 | 33.550 | 813.09 | 848.20 | 884.06 |
M36 | 36.000 | 1017.9 | 4.0000 | 33.402 | 759.28 | 816.72 | 876.26 | 2.0000 | 34.701 | 883.85 | 914.53 | 945.74 | ||
1.5000 | 38.100 | 1140.1 | 6 | 4.2333 | 35.350 | 834.73 | 906.62 | 981.47 | 12 | 2.1167 | 36.725 | 981.47 | 1020.0 | 1059.3 |
* M22 x 2.5 and M27 x 3 for high strength structural steel fasteners only. |
M and MJ are metric thread profiles. Size designations not beginning with "M" in Table 1 are UN and UNJ thread profiles (non-metric), no longer used anywhere in the world except in a few behind-the-times organizations in USA.
You can look up each value in Table 1, above, or you can
use the Table 2 formulas to calculate the values yourself. In the
following table, Dn is nominal shank diameter (fastener size)
from Table 1. Pitch p is fastener longitudinal length per
thread. Note that p = 1 / n, where n = threads
per unit length. Le is thread engagement length.
Fastener Stress Analysis Quantity Description | Sym- bol | Value (for various Thread Profiles) | Source | |||
M | UN, UNR | MJ | UNJ | |||
Thread profile angle | a | 60° | 60° | 60° | 60° | ISO 68-1, 1998, Fig. 1, p. 2. |
Minor diameter | Dm | Dn – 1.226869 p | Dn – 1.299038 p | Same as M profile. |
Same as UNR profile. |
ISO 898-1, 1999, Sect. 8.2, p. 13; ASME B1.1, 1989, Sect. 8.3.1.f, p. 53. |
Tensile stress diameter | Dts | Dn – 0.938194 p | Dn – 0.974279 p | dp | ISO 898-1, 1999, Sect. 8.2, p. 13; MIL-HDBK-60, 1990, Sect. 110.1, p. 27. | |
Pitch diameter | dp | Dn – 0.75 p sin a | ISO 724, 1993, p. 2. | |||
Shear stress diameter, shank in shear plane | Ds | Dn | ||||
Shear stress diameter, threads in shear plane | Ds | Dts. Or you can conservatively use Dm. | NASA TM-106943, 1995, p. 16. | |||
Thread shear (stripping) area, sloppy thread tolerances | Ath | 0.333 p dp Le | Barrett, Fastener Design Manual, NASA RP-1228, 1990, p. 21. | |||
Thread shear area, both threads class 2 or 3 (ISO class 6H/6g) thread tolerance | Ath | 0.5 p dp Le | FED-STD-H28/2B, 1991, Table II.B.1, p. 57, Eq. 7. |
Thread engagement length. In general, according to Machine Design magazine, the minimum recommended length of engagement is 0.75 to 1 times the bolt major diameter for threading into steel and other materials of comparable hardness; and 1 to 1.5 times the bolt major diameter for threading into brass, cast iron, and aluminum. These lengths of engagement specified are for full threads engaged, not overall bolt length. Regarding partial threads in the chamfers on the ends of internal or external threads, FED-STD-H28/2B, 1991, Sect. 7.7.2, p. 61, specifies that approximately half the countersink or chamfer depth may be included in the length of engagement calculation.
Return to Structural Analysis Reference Library. | © 2002 Garrett D. Euler |