Pitch Diameter Measurement  

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Three Wire System
It is essential in using this method that the micrometers used be accurate and the measuring faces flat and parallel; that the wires used be hardened. The surfaces must be properly finished and the set of wires the same diameter within .00003 inches if measurement within .0001 inch is desired.

In the table of thread elements below is a column headed “Diameter of Best-Size Wires.” This column lists the size of the wire, of a given pitch, that touches the thread exactly on the pitch diameter when placed in between two threads.

Adjacent is a diagram showing the method of applying the wires for the measurement of a thread.

Below will be found the best size wires to use for the various pitches and the constant to subtract from the micrometer reading to obtain the pitch diameter.

The wire sizes and constants given are for use with a thread which has an included angle of 60°.

To calculate the “over wire measurement” when the “best-size” wires are available, refer to the table of thread elements. To the basic pitch diameter, add the constant for the “best-size” wire.

Example:
The basic pitch diameter of a 3/8"-16 thread = .3344
The constant for the “best-size” wire = .0541
The measurement over wires = .3885
To calculate the “over wire measurement” when the “best-size” wires are not available, refer to the table of thread elements. Subtract from the pitch diameter, the single height V-thread and to the result add three times the diameter of the available wire.



P = Pitch Diameter
D = Wire Diameter
W = Measurement Over Wires

Example:
The pitch diameter of a 3/8"-16 screw = .3344
Minus the single height V-thread = .0541

.2803
Plus three times .040" (available wire) = .1200
The measurement over wires = .4003


Table of Thread Elements
Threads
Per Inch
Pitch Diameter of
"Best Size"
Wires
Constant for
"Best Size"
Wires
Single* Height
Symmetrical
Thread Form 0.64952P
Width of Flat on
Crest and Root
NC and NF
Single Height
V -Thread
140
120
100
96
90
.007143
.008333
.010000
.010417
.011111
.0041239
.0048112
.0057735
.0060141
.0064150
.006186
.007217
.008660
.009021
.009623
.004640
.005412
.006495
.006766
.007217
.0009
.0010
.0013
.0013
.0014
.006186
.007217
.008660
.009021
.009623
80
72
64
60
56
.012500
.013888
.015625
.016667
.017857
.0072168
.0080182
.0090210
.0096225
.0103097
.010825
.012027
.013531
.014434
.015464
.008119
.009021
.010149
.010826
.011598
.0016
.0017
.0020
.0021
.0022
.010825
.012027
.013531
.014434
.015464
50
48
44
40
36
.020000
.020833
.022727
.025000
.027777
.0115470
.0120279
.0131214
.0144337
.0160370
.017320
.018041
.019682
.021650
.024055
.012990
.013531
.014762
.016238
.018042
.0025
.0026
.0028
.0031
.0035
.017320
.018041
.019682
.021650
.024055
32
30
28
27
26
.031250
.033333
.035714
.037037
.038462
.0180421
.0192448
.0206194
.0213833
.0222057
.027063
.028867
.030929
.032074
.033308
.020297
.021650
.023197
.024056
.024982
.0039
.0042
.0045
.0046
.0048
.027063
.028867
.030929
.032074
.033308
24
22
20
18
16
.041666
.045454
.050000
.055555
.062500
.0240558
.0262428
.0288675
.0320746
.0360843
.036083
.039364
.043301
.048112
.054126
.027063
.029523
.032476
.036084
.040595
.0052
.0057
.0062
.0069
.0078
.036083
.039364
.043301
.048112
.054126
14
13
12
11 1/2
11
.071428
.076923
.083333
.086956
.090909
.0412389
.0444114
.0481123
.0502040
.0524863
.061858
.066617
.072168
.075306
.078729
.046394
.049963
.054126
.056480
.059047
.0089
.0096
.0104
.0108
.0114
.061858
.066617
.072168
.075306
.078729
10
9
8
7 1/2
7
.100000
.111111
.125000
.133333
.142857
.0577350
.0641499
.0721687
.0769800
.0824784
.086602
.096224
.108253
.115467
.123717
.064952
.072168
.081190
.086602
.092788
.0125
.0139
.0156
.0167
.0179
.086602
.096224
.108253
.115467
.123717
6
5 1/2
5
4 1/2
4
.166666
.181818
.200000
.222222
.250000
.0962246
.1049726
.1154700
.1282998
.1443375
.144336
.157458
.173205
.192449
.216506
.108253
.118094
.129904
.144338
.162380
.0208
.0227
.0250
.0278
.0312
.144336
.157458
.173205
.192449
.216506
*To calculate the pitch diameter of Unified and American National Form Threads, subtracts the figures found in this column from the Basic Outside Diameter. Use the “Three Wire Method” to convert pitch diameter calculations into Over Wire Measurements.
NOTE: Symmetrical thread height equivalent to the basic height, h, of the original American National Form.





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