English Thread Plug GagesStandard pitch diameter chart — internal threads (Class 2B / 3B)
| Nominal Size | GO Basic all classes |
NO GO Class 2B | NO GO Class 3B |
X Tol. GO +, NO GO − |
X Lead Tol. | X Half-Angle Tol. |
|---|---|---|---|---|---|---|
| #0-80 UNF | 0.0519 | 0.0542 | 0.0536 | 0.0002 | 0.0002 | 0°30' |
| #1-64 UNC | 0.0629 | 0.0655 | 0.0648 | 0.0002 | 0.0002 | 0°30' |
| #1-72 UNF | 0.0640 | 0.0665 | 0.0659 | 0.0002 | 0.0002 | 0°30' |
| #2-56 UNC | 0.0744 | 0.0772 | 0.0765 | 0.0002 | 0.0002 | 0°30' |
| #2-64 UNF | 0.0759 | 0.0786 | 0.0779 | 0.0002 | 0.0002 | 0°30' |
| #3-48 UNC | 0.0855 | 0.0885 | 0.0877 | 0.0002 | 0.0002 | 0°30' |
| #3-56 UNF | 0.0874 | 0.0902 | 0.0895 | 0.0002 | 0.0002 | 0°30' |
| #4-40 UNC | 0.0958 | 0.0991 | 0.0982 | 0.0002 | 0.0002 | 0°20' |
| #4-48 UNF | 0.0985 | 0.1016 | 0.1008 | 0.0002 | 0.0002 | 0°30' |
| #5-40 UNC | 0.1088 | 0.1121 | 0.1113 | 0.0002 | 0.0002 | 0°20' |
| #5-44 UNF | 0.1102 | 0.1134 | 0.1126 | 0.0002 | 0.0002 | 0°20' |
| #6-32 UNC | 0.1177 | 0.1214 | 0.1204 | 0.0003 | 0.0003 | 0°15' |
| #6-40 UNF | 0.1218 | 0.1252 | 0.1243 | 0.0002 | 0.0002 | 0°20' |
| #8-32 UNC | 0.1437 | 0.1475 | 0.1465 | 0.0003 | 0.0003 | 0°15' |
| #8-36 UNF | 0.1460 | 0.1496 | 0.1487 | 0.0002 | 0.0002 | 0°20' |
| #10-24 UNC | 0.1629 | 0.1672 | 0.1661 | 0.0003 | 0.0003 | 0°15' |
| #10-32 UNF | 0.1697 | 0.1736 | 0.1726 | 0.0003 | 0.0003 | 0°15' |
| #12-24 UNC | 0.1889 | 0.1933 | 0.1922 | 0.0003 | 0.0003 | 0°15' |
| #12-28 UNF | 0.1928 | 0.1970 | 0.1959 | 0.0003 | 0.0003 | 0°15' |
| #12-32 UNEF | 0.1957 | 0.1998 | 0.1988 | 0.0003 | 0.0003 | 0°15' |
| 1/4-20 UNC | 0.2175 | 0.2224 | 0.2211 | 0.0003 | 0.0003 | 0°15' |
| 1/4-28 UNF | 0.2268 | 0.2311 | 0.2300 | 0.0003 | 0.0003 | 0°15' |
| 1/4-32 UNEF | 0.2297 | 0.2339 | 0.2328 | 0.0003 | 0.0003 | 0°15' |
| 5/16-18 UNC | 0.2764 | 0.2817 | 0.2803 | 0.0003 | 0.0003 | 0°10' |
| 5/16-24 UNF | 0.2854 | 0.2902 | 0.2890 | 0.0003 | 0.0003 | 0°15' |
| 5/16-32 UNEF | 0.2922 | 0.2964 | 0.2953 | 0.0003 | 0.0003 | 0°15' |
| 3/8-16 UNC | 0.3344 | 0.3401 | 0.3387 | 0.0003 | 0.0003 | 0°10' |
| 3/8-24 UNF | 0.3479 | 0.3528 | 0.3516 | 0.0003 | 0.0003 | 0°15' |
| 3/8-32 UNEF | 0.3547 | 0.3591 | 0.3580 | 0.0003 | 0.0003 | 0°15' |
| 7/16-14 UNC | 0.3911 | 0.3972 | 0.3957 | 0.0003 | 0.0003 | 0°10' |
| 7/16-20 UNF | 0.4050 | 0.4104 | 0.4091 | 0.0003 | 0.0003 | 0°15' |
| 7/16-28 UNEF | 0.4143 | 0.4189 | 0.4178 | 0.0003 | 0.0003 | 0°15' |
| 1/2-13 UNC | 0.4500 | 0.4565 | 0.4548 | 0.0003 | 0.0003 | 0°10' |
| 1/2-20 UNF | 0.4675 | 0.4731 | 0.4717 | 0.0003 | 0.0003 | 0°15' |
| 1/2-28 UNEF | 0.4768 | 0.4816 | 0.4804 | 0.0003 | 0.0003 | 0°15' |
| 9/16-12 UNC | 0.5084 | 0.5152 | 0.5135 | 0.0003 | 0.0003 | 0°10' |
| 9/16-18 UNF | 0.5264 | 0.5323 | 0.5308 | 0.0003 | 0.0003 | 0°10' |
| 9/16-24 UNEF | 0.5354 | 0.5405 | 0.5392 | 0.0003 | 0.0003 | 0°15' |
| 5/8-11 UNC | 0.5660 | 0.5732 | 0.5714 | 0.0003 | 0.0003 | 0°15' |
| 5/8-18 UNF | 0.5889 | 0.5949 | 0.5934 | 0.0003 | 0.0003 | 0°10' |
| 5/8-24 UNEF | 0.5979 | 0.6031 | 0.6018 | 0.0003 | 0.0003 | 0°10' |
| 11/16-24 UNEF | 0.6604 | 0.6656 | 0.6643 | 0.0003 | 0.0003 | 0°15' |
| 3/4-10 UNC | 0.6850 | 0.6927 | 0.6907 | 0.0003 | 0.0003 | 0°10' |
| 3/4-16 UNF | 0.7094 | 0.7159 | 0.7143 | 0.0003 | 0.0003 | 0°10' |
| 3/4-20 UNEF | 0.7175 | 0.7232 | 0.7218 | 0.0003 | 0.0003 | 0°15' |
| 13/16-20 UNEF | 0.7800 | 0.7857 | 0.7843 | 0.0003 | 0.0003 | 0°15' |
| 7/8-9 UNC | 0.8028 | 0.8110 | 0.8089 | 0.0003 | 0.0003 | 0°10' |
| 7/8-14 UNF | 0.8286 | 0.8356 | 0.8339 | 0.0003 | 0.0003 | 0°10' |
| 7/8-20 UNEF | 0.8425 | 0.8482 | 0.8468 | 0.0003 | 0.0003 | 0°15' |
| 15/16-20 UNEF | 0.9050 | 0.9109 | 0.9094 | 0.0003 | 0.0003 | 0°15' |
| 1"-8 UNC | 0.9188 | 0.9276 | 0.9254 | 0.0004 | 0.0004 | 0°05' |
| 1"-12 UNF | 0.9459 | 0.9535 | 0.9516 | 0.0003 | 0.0003 | 0°10' |
| 1"-14 UNS | 0.9536 | 0.9609 | 0.9590 | 0.0003 | 0.0003 | 0°10' |
| 1"-20 UNEF | 0.9675 | 0.9734 | 0.9719 | 0.0003 | 0.0003 | 0°15' |
| 1 1/16-12 UN | 1.0084 | 1.0158 | 1.0139 | 0.0003 | 0.0003 | 0°10' |
| 1 1/16-18 UNEF | 1.0264 | 1.0326 | 1.0310 | 0.0003 | 0.0003 | 0°10' |
| 1 1/8-7 UNC | 1.0322 | 1.0416 | 1.0393 | 0.0004 | 0.0004 | 0°05' |
| 1 1/8-12 UNF | 1.0709 | 1.0787 | 1.0768 | 0.0003 | 0.0003 | 0°10' |
| 1 1/8-18 UNEF | 1.0889 | 1.0951 | 1.0935 | 0.0003 | 0.0003 | 0°10' |
| 1 3/16-12 UN | 1.1334 | 1.1409 | 1.1390 | 0.0003 | 0.0003 | 0°10' |
| 1 3/16-18 UNEF | 1.1514 | 1.1577 | 1.1561 | 0.0003 | 0.0003 | 0°10' |
| 1 1/4-7 UNC | 1.1572 | 1.1668 | 1.1644 | 0.0004 | 0.0004 | 0°05' |
| 1 1/4-12 UNF | 1.1959 | 1.2039 | 1.2019 | 0.0003 | 0.0003 | 0°10' |
| 1 1/4-18 UNEF | 1.2139 | 1.2202 | 1.2186 | 0.0003 | 0.0003 | 0°10' |
| 1 5/16-12 UN | 1.2584 | 1.2659 | 1.2640 | 0.0003 | 0.0003 | 0°10' |
| 1 5/16-18 UNEF | 1.2764 | 1.2827 | 1.2811 | 0.0003 | 0.0003 | 0°10' |
| 1 3/8-6 UNC | 1.2667 | 1.2771 | 1.2745 | 0.0004 | 0.0004 | 0°05' |
| 1 3/8-12 UNF | 1.3209 | 1.3291 | 1.3270 | 0.0003 | 0.0003 | 0°10' |
| 1 3/8-18 UNEF | 1.3389 | 1.3452 | 1.3436 | 0.0003 | 0.0003 | 0°10' |
| 1 7/16-12 UN | 1.3834 | 1.3910 | 1.3891 | 0.0003 | 0.0003 | 0°10' |
| 1 7/16-18 UNEF | 1.4014 | 1.4079 | 1.4062 | 0.0003 | 0.0003 | 0°10' |
| 1 1/2-6 UNC | 1.3917 | 1.4022 | 1.3996 | 0.0004 | 0.0004 | 0°05' |
| 1 1/2-12 UNF | 1.4459 | 1.4542 | 1.4522 | 0.0003 | 0.0003 | 0°10' |
| 1 1/2-18 UNEF | 1.4639 | 1.4704 | 1.4687 | 0.0003 | 0.0003 | 0°10' |
Verified against published pitch diameter charts and confirmed computationally (basic PD = D − 0.649519 × P) on all 74 rows.
English Thread Ring & Setting Plug GagesStandard pitch diameter chart — external threads (Class 2A / 3A)
| Nominal Size | Class 2A | Class 3A | X Tol. GO −, NO GO + | ||
|---|---|---|---|---|---|
| GO | NO GO | GO | NO GO | ||
| #0-80 UNF | 0.0514 | 0.0496 | 0.0519 | 0.0506 | 0.0002 |
| #1-64 UNC | 0.0623 | 0.0603 | 0.0629 | 0.0614 | 0.0002 |
| #1-72 UNF | 0.0634 | 0.0615 | 0.0640 | 0.0626 | 0.0002 |
| #2-56 UNC | 0.0738 | 0.0717 | 0.0744 | 0.0728 | 0.0002 |
| #2-64 UNF | 0.0753 | 0.0733 | 0.0759 | 0.0744 | 0.0002 |
| #3-48 UNC | 0.0848 | 0.0825 | 0.0855 | 0.0838 | 0.0002 |
| #3-56 UNF | 0.0867 | 0.0845 | 0.0874 | 0.0858 | 0.0002 |
| #4-40 UNC | 0.0950 | 0.0925 | 0.0958 | 0.0939 | 0.0002 |
| #4-48 UNF | 0.0978 | 0.0954 | 0.0985 | 0.0967 | 0.0002 |
| #5-40 UNC | 0.1080 | 0.1054 | 0.1088 | 0.1069 | 0.0002 |
| #5-44 UNF | 0.1095 | 0.1070 | 0.1102 | 0.1083 | 0.0002 |
| #6-32 UNC | 0.1169 | 0.1141 | 0.1177 | 0.1156 | 0.0003 |
| #6-40 UNF | 0.1210 | 0.1184 | 0.1218 | 0.1198 | 0.0002 |
| #8-32 UNC | 0.1428 | 0.1399 | 0.1437 | 0.1415 | 0.0003 |
| #8-36 UNF | 0.1452 | 0.1424 | 0.1460 | 0.1439 | 0.0002 |
| #10-24 UNC | 0.1619 | 0.1586 | 0.1629 | 0.1604 | 0.0003 |
| #10-32 UNF | 0.1688 | 0.1658 | 0.1697 | 0.1674 | 0.0003 |
| #12-24 UNC | 0.1879 | 0.1845 | 0.1889 | 0.1863 | 0.0003 |
| #12-28 UNF | 0.1918 | 0.1886 | 0.1928 | 0.1904 | 0.0003 |
| #12-32 UNEF | 0.1948 | 0.1917 | 0.1957 | 0.1933 | 0.0003 |
| 1/4-20 UNC | 0.2164 | 0.2127 | 0.2175 | 0.2147 | 0.0003 |
| 1/4-28 UNF | 0.2258 | 0.2225 | 0.2268 | 0.2243 | 0.0003 |
| 1/4-32 UNEF | 0.2287 | 0.2255 | 0.2297 | 0.2273 | 0.0003 |
| 5/16-18 UNC | 0.2752 | 0.2712 | 0.2764 | 0.2734 | 0.0003 |
| 5/16-24 UNF | 0.2843 | 0.2806 | 0.2854 | 0.2827 | 0.0003 |
| 5/16-32 UNEF | 0.2912 | 0.2880 | 0.2922 | 0.2898 | 0.0003 |
| 3/8-16 UNC | 0.3331 | 0.3287 | 0.3344 | 0.3311 | 0.0003 |
| 3/8-24 UNF | 0.3468 | 0.3430 | 0.3479 | 0.3450 | 0.0003 |
| 3/8-32 UNEF | 0.3537 | 0.3503 | 0.3547 | 0.3522 | 0.0003 |
| 7/16-14 UNC | 0.3897 | 0.3850 | 0.3911 | 0.3876 | 0.0003 |
| 7/16-20 UNF | 0.4037 | 0.3995 | 0.4050 | 0.4019 | 0.0003 |
| 7/16-28 UNEF | 0.4132 | 0.4096 | 0.4143 | 0.4116 | 0.0003 |
| 1/2-13 UNC | 0.4485 | 0.4435 | 0.4500 | 0.4463 | 0.0003 |
| 1/2-20 UNF | 0.4662 | 0.4619 | 0.4675 | 0.4643 | 0.0003 |
| 1/2-28 UNEF | 0.4757 | 0.4720 | 0.4768 | 0.4740 | 0.0003 |
| 9/16-12 UNC | 0.5068 | 0.5016 | 0.5084 | 0.5045 | 0.0003 |
| 9/16-18 UNF | 0.5250 | 0.5205 | 0.5264 | 0.5230 | 0.0003 |
| 9/16-24 UNEF | 0.5342 | 0.5303 | 0.5354 | 0.5325 | 0.0003 |
| 5/8-11 UNC | 0.5644 | 0.5589 | 0.5660 | 0.5619 | 0.0003 |
| 5/8-18 UNF | 0.5875 | 0.5828 | 0.5889 | 0.5854 | 0.0002 |
| 5/8-24 UNEF | 0.5967 | 0.5927 | 0.5979 | 0.5949 | 0.0003 |
| 11/16-24 UNEF | 0.6592 | 0.6552 | 0.6604 | 0.6574 | 0.0003 |
| 3/4-10 UNC | 0.6832 | 0.6773 | 0.6850 | 0.6806 | 0.0003 |
| 3/4-16 UNF | 0.7079 | 0.7029 | 0.7094 | 0.7056 | 0.0003 |
| 3/4-20 UNEF | 0.7162 | 0.7118 | 0.7175 | 0.7142 | 0.0003 |
| 13/16-20 UNEF | 0.7787 | 0.7743 | 0.7800 | 0.7767 | 0.0003 |
| 7/8-9 UNC | 0.8009 | 0.7946 | 0.8028 | 0.7981 | 0.0003 |
| 7/8-14 UNF | 0.8270 | 0.8216 | 0.8286 | 0.8245 | 0.0003 |
| 7/8-20 UNEF | 0.8412 | 0.8368 | 0.8425 | 0.8392 | 0.0003 |
| 15/16-20 UNEF | 0.9036 | 0.8991 | 0.9050 | 0.9016 | 0.0003 |
| 1"-8 UNC | 0.9168 | 0.9100 | 0.9188 | 0.9137 | 0.0004 |
| 1"-12 UNF | 0.9441 | 0.9382 | 0.9459 | 0.9415 | 0.0003 |
| 1"-14 UNS | 0.9519 | 0.9463 | 0.9536 | 0.9494 | 0.0003 |
| 1"-20 UNEF | 0.9661 | 0.9616 | 0.9675 | 0.9641 | 0.0003 |
| 1 1/16-12 UN | 1.0067 | 1.0010 | 1.0084 | 1.0042 | 0.0003 |
| 1 1/16-18 UNEF | 1.0250 | 1.0203 | 1.0264 | 1.0228 | 0.0003 |
| 1 1/8-7 UNC | 1.0300 | 1.0228 | 1.0322 | 1.0268 | 0.0004 |
| 1 1/8-12 UNF | 1.0691 | 1.0631 | 1.0709 | 1.0664 | 0.0003 |
| 1 1/8-18 UNEF | 1.0875 | 1.0828 | 1.0889 | 1.0853 | 0.0003 |
| 1 3/16-12 UN | 1.1317 | 1.1259 | 1.1334 | 1.1291 | 0.0003 |
| 1 3/16-18 UNEF | 1.1499 | 1.1450 | 1.1514 | 1.1478 | 0.0003 |
| 1 1/4-7 UNC | 1.1550 | 1.1476 | 1.1572 | 1.1517 | 0.0004 |
| 1 1/4-12 UNF | 1.1941 | 1.1879 | 1.1959 | 1.1913 | 0.0003 |
| 1 1/4-18 UNEF | 1.2124 | 1.2075 | 1.2139 | 1.2103 | 0.0003 |
| 1 5/16-12 UN | 1.2567 | 1.2509 | 1.2584 | 1.2541 | 0.0003 |
| 1 5/16-18 UNEF | 1.2749 | 1.2700 | 1.2764 | 1.2728 | 0.0003 |
| 1 3/8-6 UNC | 1.2643 | 1.2563 | 1.2667 | 1.2607 | 0.0004 |
| 1 3/8-12 UNF | 1.3190 | 1.3127 | 1.3209 | 1.3162 | 0.0003 |
| 1 3/8-18 UNEF | 1.3374 | 1.3325 | 1.3389 | 1.3353 | 0.0003 |
| 1 7/16-12 UN | 1.3816 | 1.3757 | 1.3834 | 1.3790 | 0.0003 |
| 1 7/16-18 UNEF | 1.3999 | 1.3949 | 1.4014 | 1.3975 | 0.0003 |
| 1 1/2-6 UNC | 1.3893 | 1.3812 | 1.3917 | 1.3856 | 0.0004 |
| 1 1/2-12 UNF | 1.4440 | 1.4376 | 1.4459 | 1.4411 | 0.0003 |
| 1 1/2-18 UNEF | 1.4624 | 1.4574 | 1.4639 | 1.4602 | 0.0003 |
Metric Work Plugs, Thread Rings & Setting PlugsStandard pitch diameter chart — 6g external / 6H internal
| Size & Pitch | 6g GO Ring | 6g NO GO Ring | 6H GO Plug | 6H NO GO Plug | ||||
|---|---|---|---|---|---|---|---|---|
| mm | in | mm | in | mm | in | mm | in | |
| M1.6x0.35 | 1.354 | .05331 | 1.291 | .05083 | 1.373 | .05406 | 1.458 | .05740 |
| M2x0.4 | 1.721 | .06776 | 1.654 | .06512 | 1.740 | .06850 | 1.830 | .07205 |
| M2.5x0.45 | 2.188 | .08614 | 2.117 | .08335 | 2.208 | .08693 | 2.303 | .09067 |
| M3x0.5 | 2.655 | .10453 | 2.580 | .10157 | 2.675 | .10531 | 2.775 | .10925 |
| M3.5x0.6 | 3.089 | .12161 | 3.004 | .11827 | 3.110 | .12244 | 3.222 | .12685 |
| M4x0.7 | 3.523 | .13870 | 3.433 | .13516 | 3.545 | .13957 | 3.663 | .14421 |
| M5x0.8 | 4.456 | .17543 | 4.361 | .17169 | 4.480 | .17638 | 4.605 | .18130 |
| M6x1.0 | 5.324 | .20961 | 5.212 | .20520 | 5.350 | .21063 | 5.500 | .21654 |
| M8x1.25 | 7.160 | .28189 | 7.042 | .27724 | 7.188 | .28299 | 7.348 | .28929 |
| M8x1.0 | 7.324 | .28835 | 7.212 | .28394 | 7.350 | .28937 | 7.500 | .29528 |
| M10x1.5 | 8.994 | .35409 | 8.862 | .34890 | 9.026 | .35535 | 9.206 | .36244 |
| M10x1.25 | 9.160 | .36063 | 9.042 | .35598 | 9.188 | .36173 | 9.348 | .36803 |
| M10x1.0 | 9.324 | .36709 | 9.212 | .36268 | 9.350 | .36811 | 9.500 | .37402 |
| M10x0.75 | 9.491 | .37366 | 9.391 | .36972 | 9.513 | .37453 | 9.645 | .37972 |
| M12x1.75 | 10.829 | .42634 | 10.679 | .42043 | 10.863 | .42768 | 11.063 | .43555 |
| M12x1.5 | 10.994 | .43283 | 10.854 | .42732 | 11.026 | .43409 | 11.216 | .44157 |
| M12x1.25 | 11.160 | .43937 | 11.028 | .43417 | 11.188 | .44047 | 11.368 | .44756 |
| M12x1.0 | 11.324 | .44583 | 11.206 | .44118 | 11.350 | .44685 | 11.510 | .45315 |
| M14x2.0 | 12.663 | .49854 | 12.503 | .49224 | 12.701 | .50004 | 12.913 | .50839 |
| M14x1.5 | 12.994 | .51157 | 12.854 | .50606 | 13.026 | .51283 | 13.216 | .52031 |
| M15x1.0 | 14.324 | .56394 | 14.206 | .55929 | 14.350 | .56496 | 14.510 | .57126 |
| M16x2.0 | 14.663 | .57728 | 14.503 | .57098 | 14.701 | .57878 | 14.913 | .58713 |
| M16x1.5 | 14.994 | .59031 | 14.854 | .58480 | 15.026 | .59157 | 15.216 | .59906 |
| M17x1.0 | 16.324 | .64268 | 16.206 | .63803 | 16.350 | .64370 | 16.510 | .65000 |
| M18x1.5 | 16.994 | .66906 | 16.854 | .66354 | 17.026 | .67031 | 17.216 | .67780 |
| M20x2.5 | 18.334 | .72181 | 18.164 | .71512 | 18.376 | .72346 | 18.600 | .73228 |
| M20x1.5 | 18.994 | .74780 | 18.854 | .74228 | 19.026 | .74906 | 19.216 | .75654 |
| M20x1.0 | 19.324 | .76079 | 19.206 | .75614 | 19.350 | .76181 | 19.510 | .76811 |
| M22x2.5 | 20.334 | .80055 | 20.164 | .79386 | 20.376 | .80220 | 20.600 | .81102 |
| M22x1.5 | 20.994 | .82654 | 20.854 | .82102 | 21.026 | .82780 | 21.216 | .83528 |
| M24x3.0 | 22.003 | .86626 | 21.803 | .85839 | 22.051 | .86815 | 22.316 | .87858 |
| M24x2.0 | 22.663 | .89224 | 22.493 | .88555 | 22.701 | .89374 | 22.925 | .90256 |
| M25x1.5 | 23.994 | .94465 | 23.844 | .93874 | 24.026 | .94591 | 24.226 | .95378 |
| M27x3.0 | 25.003 | .98437 | 24.803 | .97650 | 25.051 | .98626 | 25.316 | .99669 |
| M27x2.0 | 25.663 | 1.01035 | 25.493 | 1.00366 | 25.701 | 1.01185 | 25.925 | 1.02067 |
| M30x3.5 | 27.674 | 1.08953 | 27.462 | 1.08118 | 27.727 | 1.09161 | 28.007 | 1.10264 |
| M30x2.0 | 28.663 | 1.12846 | 28.493 | 1.12177 | 28.701 | 1.12996 | 28.925 | 1.13878 |
| M30x1.5 | 28.994 | 1.14150 | 28.844 | 1.13559 | 29.026 | 1.14276 | 29.226 | 1.15063 |
| M33x2.0 | 31.663 | 1.24657 | 31.493 | 1.23988 | 31.701 | 1.24807 | 31.925 | 1.25689 |
| M35x1.5 | 33.994 | 1.33835 | 33.844 | 1.33244 | 34.026 | 1.33961 | 34.226 | 1.34748 |
| M36x4.0 | 33.342 | 1.31268 | 33.118 | 1.30386 | 33.402 | 1.31504 | 33.702 | 1.32685 |
| M36x2.0 | 34.663 | 1.36469 | 34.493 | 1.35799 | 34.701 | 1.36618 | 34.925 | 1.37500 |
| M39x2.0 | 37.663 | 1.48280 | 37.493 | 1.47610 | 37.701 | 1.48429 | 37.925 | 1.49311 |
Straight Pipe Thread Pitch DiametersNPSM, NPSC, and NPSL
| Nominal Size | NPSM Internal 2B | NPSM External 2A | NPSC Internal | NPSL Internal | NPSL External | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| GO | NO GO | GO | NO GO | GO | NO GO | GO | NO GO | GO | NO GO | |
| 1/8-27 | .3736 | .3783 | .3725 | .3689 | .3701 | .3771 | .3863 | .3898 | .3840 | .3805 |
| 1/4-18 | .4916 | .4974 | .4903 | .4859 | .4864 | .4968 | .5073 | .5125 | .5038 | .4986 |
| 3/8-18 | .6270 | .6329 | .6256 | .6211 | .6218 | .6322 | .6444 | .6496 | .6409 | .6357 |
| 1/2-14 | .7784 | .7851 | .7769 | .7718 | .7717 | .7851 | .8008 | .8075 | .7963 | .7896 |
| 3/4-14 | .9889 | .9958 | .9873 | .9820 | .9822 | .9956 | 1.0112 | 1.0179 | 1.0067 | 1.0000 |
| 1-11 1/2 | 1.2386 | 1.2462 | 1.2369 | 1.2311 | 1.2305 | 1.2468 | 1.2658 | 1.2739 | 1.2604 | 1.2523 |
| 1 1/4-11 1/2 | 1.5834 | 1.5912 | 1.5816 | 1.5756 | 1.5752 | 1.5915 | 1.6106 | 1.6187 | 1.6051 | 1.5970 |
| 1 1/2-11 1/2 | 1.8223 | 1.8302 | 1.8205 | 1.8144 | 1.8142 | 1.8305 | 1.8495 | 1.8576 | 1.8441 | 1.8360 |
| 2-11 1/2 | 2.2963 | 2.3044 | 2.2944 | 2.2882 | 2.2881 | 2.3044 | 2.3234 | 2.3315 | 2.3180 | 2.3099 |
| 2 1/2-8 | 2.7622 | 2.7720 | 2.7600 | 2.7526 | 2.7504 | 2.7739 | 2.8012 | 2.8129 | 2.7934 | 2.7817 |
| 3-8 | 3.3885 | 3.3984 | 3.3862 | 3.3786 | 3.3768 | 3.4002 | 3.4276 | 3.4393 | 3.4198 | 3.4081 |
Column grouping verified against published NPSM / NPSC / NPSL charts.
Thread Form ReferenceBasic form constants by thread series (P = pitch)
| Thread Form | Included Angle | Theoretical Depth | Actual Depth | Root Radius |
|---|---|---|---|---|
| Unified / American (UNC, UNF) | 60° | H = 0.86603 × P | 0.54127 × P | r = 0.14434 × P |
| ISO Metric | 60° | H = 0.86603 × P | 0.54127 × P | r = 0.125 × P |
| British Standard Whitworth (BSW) | 55° | H = 0.960491 × P | 0.640327 × P | R = 0.137329 × P |
| British Association (BA) | 47.5° | H = 1.13634 × P | 0.60000 × P | R = 0.18083 × P |
The original sheet used scanned diagrams from published standards. Those should be redrawn as original artwork rather than reproduced.
Jacobs Taper DimensionsInches
| Taper No. | A | D | B |
|---|---|---|---|
| 0 | 0.2500 | 0.2284 | 0.4375 |
| 1 | 0.3840 | 0.3334 | 0.6563 |
| 2 | 0.5590 | 0.4876 | 0.8750 |
| 2A | 0.5488 | 0.4876 | 0.7500 |
| 3 | 0.8110 | 0.7461 | 1.2100 |
| 4 | 1.1240 | 1.0372 | 1.6563 |
| 5 | 1.4130 | 1.3161 | 1.8750 |
| 6 | 0.6760 | 0.6241 | 1.0000 |
| 33 | 0.6240 | 0.5605 | 1.0000 |
Morse Taper DimensionsInches
| Taper No. | A | D | K | L | B |
|---|---|---|---|---|---|
| 0 | 0.3561 | 0.2520 | 1.9375 | 0.5625 | 2.3438 |
| 1 | 0.4750 | 0.3690 | 2.0625 | 0.7500 | 2.5625 |
| 2 | 0.7000 | 0.5720 | 2.5000 | 0.8750 | 3.1250 |
| 3 | 0.9380 | 0.7780 | 3.0625 | 1.1875 | 3.8750 |
| 4 | 1.2310 | 1.0200 | 3.8750 | 1.2500 | 4.8750 |
| 5 | 1.7480 | 1.4750 | 4.9375 | 1.5000 | 6.1250 |
| 6 | 2.4940 | 2.1160 | 7.0000 | 1.7500 | 8.5625 |
| 7 | 3.2700 | 2.7500 | 9.5000 | 2.6250 | 11.6250 |
Decimal & Metric Equivalents of FractionsFractions of an inch
| Fraction | Decimal (in) | Millimeters |
|---|---|---|
| 1/64 | .0156 | 0.396 |
| 1/32 | .0313 | 0.795 |
| 3/64 | .0469 | 1.191 |
| 1/20 | .0500 | 1.270 |
| 1/16 | .0625 | 1.588 |
| 1/13 | .0769 | 1.953 |
| 5/64 | .0781 | 1.984 |
| 1/12 | .0833 | 2.116 |
| 1/11 | .0909 | 2.309 |
| 3/32 | .0938 | 2.383 |
| 1/10 | .1000 | 2.540 |
| 7/64 | .1094 | 2.779 |
| 1/9 | .1111 | 2.822 |
| 1/8 | .1250 | 3.175 |
| 9/64 | .1406 | 3.571 |
| 1/7 | .1429 | 3.630 |
| 5/32 | .1563 | 3.967 |
| 1/6 | .1667 | 4.234 |
| 11/64 | .1719 | 4.366 |
| 3/16 | .1875 | 4.763 |
| 1/5 | .2000 | 5.080 |
| 13/64 | .2031 | 5.159 |
| 7/32 | .2188 | 5.558 |
| 15/64 | .2344 | 5.954 |
| 1/4 | .2500 | 6.350 |
| 17/64 | .2656 | 6.746 |
| 9/32 | .2813 | 7.145 |
| 19/64 | .2969 | 7.541 |
| 5/16 | .3125 | 7.938 |
| 21/64 | .3281 | 8.334 |
| 1/3 | .3333 | 8.466 |
| 11/32 | .3438 | 8.733 |
| 23/64 | .3594 | 9.129 |
| 3/8 | .3750 | 9.525 |
| 25/64 | .3906 | 9.921 |
| 13/32 | .4063 | 10.320 |
| 27/64 | .4219 | 10.716 |
| 7/16 | .4375 | 11.113 |
| 29/64 | .4531 | 11.509 |
| 15/32 | .4688 | 11.908 |
| 31/64 | .4844 | 12.304 |
| 1/2 | .5000 | 12.700 |
| 33/64 | .5156 | 13.096 |
| 17/32 | .5313 | 13.495 |
| 35/64 | .5469 | 13.891 |
| 9/16 | .5625 | 14.288 |
| 37/64 | .5781 | 14.684 |
| 19/32 | .5938 | 15.083 |
| 39/64 | .6094 | 15.479 |
| 5/8 | .6250 | 15.875 |
| 41/64 | .6406 | 16.271 |
| 21/32 | .6563 | 16.670 |
| 43/64 | .6719 | 17.066 |
| 11/16 | .6875 | 17.463 |
| 45/64 | .7031 | 17.859 |
| 23/32 | .7188 | 18.258 |
| 47/64 | .7344 | 18.654 |
| 3/4 | .7500 | 19.050 |
| 49/64 | .7656 | 19.446 |
| 25/32 | .7813 | 19.845 |
| 51/64 | .7969 | 20.241 |
| 13/16 | .8125 | 20.638 |
| 53/64 | .8281 | 21.034 |
| 27/32 | .8438 | 21.433 |
| 55/64 | .8594 | 21.829 |
| 7/8 | .8750 | 22.225 |
| 57/64 | .8906 | 22.621 |
| 29/32 | .9063 | 23.020 |
| 59/64 | .9219 | 23.416 |
| 15/16 | .9375 | 23.813 |
| 61/64 | .9531 | 24.209 |
| 31/32 | .9688 | 24.608 |
| 63/64 | .9844 | 25.004 |
| 1 | 1.0000 | 25.400 |
Mill & Lathe Formulas and ConversionsSpeeds, feeds, threads, geometry, and unit conversion
| Group | To Find | Formula |
|---|---|---|
| Speeds & Feeds | Surface Feet per Minute | SFM = RPM × D × 0.2618 |
| Speeds & Feeds | Revolutions per Minute | RPM = (SFM × 3.8197) ÷ D |
| Speeds & Feeds | Surface Meters per Minute | SMPM = SFM × 0.3048 |
| Speeds & Feeds | Milling Feedrate | IPM = FPT × T × RPM |
| Speeds & Feeds | Feed per Tooth (mill) | FPT = IPM ÷ (T × RPM) |
| Speeds & Feeds | Feed per Revolution | FPR = IPM ÷ RPM |
| Speeds & Feeds | Inches per Minute (lathe) | IPM = IPR × RPM |
| Speeds & Feeds | Metal Removal Rate | MRR = W × d × F |
| Threads | Lathe Threading Feedrate | IPR = 1 ÷ TPI |
| Threads | Mill Tapping Feedrate | IPM = (1 ÷ TPI) × RPM |
| Threads | Mill Tapping Feedrate (metric) | IPM = RPM × pitch (mm) ÷ 25.4 |
| Threads | Tap Drill Size (inch) | Drill ≈ Major Dia. − (% thread × 0.01299 × 2 ÷ TPI) |
| Threads | Percentage of Full Thread | % = (Major Dia. − Drill Dia.) × TPI ÷ 0.01299 |
| Geometry | Circumference of a Circle | C = D × 3.1416 |
| Geometry | Area of a Circle | A = R² × 3.1416 |
| Geometry | Diameter from Circumference | D = C × 0.31831 |
| Geometry | Radius from Circumference | R = C × 0.159155 |
| Conversions | Inch to Millimeter | mm = inch × 25.4 |
| Conversions | Millimeter to Inch | inch = mm × 0.03937 |
| Conversions | Foot to Millimeter | mm = foot × 304.8 |
| Conversions | Meter to Inch | inch = meter × 39.37 |
| Conversions | Mile to Kilometer | km = mile × 1.609 |
| Conversions | Kilometer to Mile | mile = km × 0.6214 |
| Conversions | Fahrenheit to Celsius | °C = (°F − 32) × 5 ÷ 9 |
| Conversions | Celsius to Fahrenheit | °F = (°C × 9 ÷ 5) + 32 |
Several formulas on the source sheet were transcribed incorrectly and have been restated in standard form. Verify against your own practice before use.