Many will already know this, but to those that don’t I find the following very useful and use it often. It is intended for use when manufacturing actual threaded components. If used for a thread gauge, please remember that a thread ring gauge is in fact an external thread inside out and vice versa. I have the same information for Tr and ACME but I’ll wait with those until asked.
FINDING NOMINAL PITCH DIAMETER (d2 / D2)
Nominal pitch diameter (d2 / D2)for a standard thread is often given on the various technical tables issued by companies supplying threaded or thread cutting components. If the major diameter and the pitch diameter for a specific thread type and pitch is known (regardless of the actual thread diameter) then the nominal pitch diameter for the same thread type and pitch can be calculated by simply subtracting PDN from the nominal thread diameter.
A finished external thread should never be above nominal pitch diameter and an internal thread never below.
N.B. Even when the results are given in 0,001mm (0.00005”) or less, it is probably most practical to round the final result op or down to the nearest 0,01mm (0.0005”) . Only when the pitch diameter tolerance is less than 0,1mm (0.005”) should it be relevant to go to 0,005mm (0.0002”) or 0,001mm (0.00005”).
0.001mm is in actual fact 0.00004”.
M (metric) – 60O Pitch in mm
The first number is Pitch (P) in mm, the next is PDN in mm and the inch equivalents for PDN are given in brackets.
P mm PDN mm (PDN inches)
0.5 0.325 (0.012795)
0.6 0.390 (0.015354)
0.7 0.455 (0.017913)
0.8 0.520 (0.020472)
1 0.650 (0.025591)
1.25 0.812 (0.031969)
1.5 0.974 (0.038465)
1.75 1.137 (0.044764)
2 1.299 (0.051142)
2.5 1.624 (0.063937)
3 1.949 (0.076732)
3.5 2.273 (0.089488)
4 2.598 (0.102283)
4.5 2.923 (0.115079)
5 3.248 (0.127874)
5.5 3.572 (0.140630)
6 3.897 (0.153425)
8 5.196 (0.204567)
UN (ISO Inch) - 60O
The first number is Pitch (P) in TPI, the next is PDN in mm and the inch equivalents for PDN are given in brackets.
P TPI PDN mm (PDN inches)
48 0.343 (0.013504)
44 0.376 (0.014803)
40 0.411 (0.016181)
36 0.457 (0.017992)
32 0.516 (0.020315)
28 0.589 (0.023189)
24 0.688 (0.027087)
20 0.825 (0.032480)
18 0.917 (0.036102)
16 1.031 (0.040591)
14 1.179 (0.046417)
13 1.270 (0.050000)
12 1.374 (0.054094)
11 1.499 (0.059016)
10 1.651 (0.065000)
9 1.834 (0.072205)
8 2.062 (0.081181)
7 2.357 (0.092795)
6 2.751 (0.108307)
5 3.299 (0.129882)
4.5 3.665 (0.144291)
4 4.125 (0.162401)
Whitworth - 55O
The first number is Pitch (P) in TPI, the next is PDN in mm and the inch equivalents for PDN are given in brackets.
P TPI PDN mm (PDN inches)
28 0.581 (0.022874)
26 0.626 (0.024646)
22 0.740 (0.029134)
20 0.813 (0.032008)
19 0.856 (0.033701)
18 0.903 (0.035551)
16 1.017 (0.040039)
14 1.162 (0.045748)
12 1.356 (0.053386)
11 1.479 (0.058228)
10 1.626 (0.064016)
9 1.807 (0.071142)
8 2.033 (0.080039)
7 2.323 (0.091457)
6 2.711 (0.106732)
5 3.253 (0.128071)
4.5 3.614 (0.142283)
4 4.066 (0.160079)
3.5 4.647 (0.182953)
3.25 5.004 (0.197008)
3 5.422 (0.213465)
2.875 5.657 (0.227166)
2.75 5.914 (0.232835)
2.625 6.196 (0.243937)
2.5 6.506 (0.256142)
Examples (given in mm) :
M16x2
Nominal major diameter (D/d) = 16,000 mm
Nominal pitch diameter (D2/d2) = 14,701 mm (ref. ISO 724)
i.e. the difference between the major diameter (D/d) and the pitch diameter (D2/d2) is 16,000 – 14,701
= 1,299 mm
Nominal pitch diameter (D2/d2) for a metric thread (M) regardless of major diameter size (D/d) and with a
2 mm pitch, can be found by simply subtracting 1,299 from the nominal major diameter (D/d).
Nominal pitch diameter (D2/d2) for the following metric threads with a 2 mm pitch are :
M16x2 = 16,000 – 1,299 = 14,701
M36x2 = 36,000 – 1,299 = 34,701
M60x2 = 60,000 – 1,299 = 58,701
M120x2 = 120,000 – 1,299 = 118,701
UNC ¼ – 20 (the pitch in mm for 20 T.P.I. = 25,4 : 20 = 1,270 mm)
Nominal major diameter (D/d) = ¼” = 0,250” = 0,250 x 25,4 = 6,35 mm
Nominal pitch diameter (D2/d2) = 5,5245 mm (ref. ISO 725)
i.e. the difference between the major diameter (D/d) and the pitch diameter (D2/d2) is 6,35 – 5,5245
= 0,8255 mm
Nominal pitch diameter (D2/d2) for a ISO Inch thread (UNC, UNF, UNEF, UN etc.) for any major diameter (D/d) and a 20 T.P.I. pitch, can be calculated by simply subtracting 0.8255 mm from the nominal major (D/d).
Nominal pitch diameter (D2/d2) for the following ISO Inch threads with a 20 T.P.I. pitch are :
¼ UNC – 20 = 6,35 – 0,8255 = 5,5245
½ UNF – 20 = 12,70 – 0,8255 = 11,8745
¾ UNEF – 20 = 19,05 – 0,8255 = 18,2245
1½ UN – 20 = 38,10 – 0,8255 = 37,2745
The number to be subtracted fron the nominal major diameter (D / d) to find nominal pitch diameter is hereafter called PDN . The following tables on page 2 of 2 show PDN for a number of standard thread types.
N.B.
Tolerance limits for D2 on a nut are always from nominal D2 and over and tolerance limits for d2 on a bolt are always from nominal d2 and below. This means that the size of D2 for a nut must always be larger than the nominal pitch diameter and the size for d2 must always be smaller than the nominal pitch diameter.