Thread & Gage Reference Charts

Pitch diameters, taper dimensions, and shop conversions — published by Walden Gage

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English Thread Plug GagesStandard pitch diameter chart — internal threads (Class 2B / 3B)

Nominal SizeGO 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 UNF0.05190.05420.05360.00020.00020°30'
#1-64 UNC0.06290.06550.06480.00020.00020°30'
#1-72 UNF0.06400.06650.06590.00020.00020°30'
#2-56 UNC0.07440.07720.07650.00020.00020°30'
#2-64 UNF0.07590.07860.07790.00020.00020°30'
#3-48 UNC0.08550.08850.08770.00020.00020°30'
#3-56 UNF0.08740.09020.08950.00020.00020°30'
#4-40 UNC0.09580.09910.09820.00020.00020°20'
#4-48 UNF0.09850.10160.10080.00020.00020°30'
#5-40 UNC0.10880.11210.11130.00020.00020°20'
#5-44 UNF0.11020.11340.11260.00020.00020°20'
#6-32 UNC0.11770.12140.12040.00030.00030°15'
#6-40 UNF0.12180.12520.12430.00020.00020°20'
#8-32 UNC0.14370.14750.14650.00030.00030°15'
#8-36 UNF0.14600.14960.14870.00020.00020°20'
#10-24 UNC0.16290.16720.16610.00030.00030°15'
#10-32 UNF0.16970.17360.17260.00030.00030°15'
#12-24 UNC0.18890.19330.19220.00030.00030°15'
#12-28 UNF0.19280.19700.19590.00030.00030°15'
#12-32 UNEF0.19570.19980.19880.00030.00030°15'
1/4-20 UNC0.21750.22240.22110.00030.00030°15'
1/4-28 UNF0.22680.23110.23000.00030.00030°15'
1/4-32 UNEF0.22970.23390.23280.00030.00030°15'
5/16-18 UNC0.27640.28170.28030.00030.00030°10'
5/16-24 UNF0.28540.29020.28900.00030.00030°15'
5/16-32 UNEF0.29220.29640.29530.00030.00030°15'
3/8-16 UNC0.33440.34010.33870.00030.00030°10'
3/8-24 UNF0.34790.35280.35160.00030.00030°15'
3/8-32 UNEF0.35470.35910.35800.00030.00030°15'
7/16-14 UNC0.39110.39720.39570.00030.00030°10'
7/16-20 UNF0.40500.41040.40910.00030.00030°15'
7/16-28 UNEF0.41430.41890.41780.00030.00030°15'
1/2-13 UNC0.45000.45650.45480.00030.00030°10'
1/2-20 UNF0.46750.47310.47170.00030.00030°15'
1/2-28 UNEF0.47680.48160.48040.00030.00030°15'
9/16-12 UNC0.50840.51520.51350.00030.00030°10'
9/16-18 UNF0.52640.53230.53080.00030.00030°10'
9/16-24 UNEF0.53540.54050.53920.00030.00030°15'
5/8-11 UNC0.56600.57320.57140.00030.00030°15'
5/8-18 UNF0.58890.59490.59340.00030.00030°10'
5/8-24 UNEF0.59790.60310.60180.00030.00030°10'
11/16-24 UNEF0.66040.66560.66430.00030.00030°15'
3/4-10 UNC0.68500.69270.69070.00030.00030°10'
3/4-16 UNF0.70940.71590.71430.00030.00030°10'
3/4-20 UNEF0.71750.72320.72180.00030.00030°15'
13/16-20 UNEF0.78000.78570.78430.00030.00030°15'
7/8-9 UNC0.80280.81100.80890.00030.00030°10'
7/8-14 UNF0.82860.83560.83390.00030.00030°10'
7/8-20 UNEF0.84250.84820.84680.00030.00030°15'
15/16-20 UNEF0.90500.91090.90940.00030.00030°15'
1"-8 UNC0.91880.92760.92540.00040.00040°05'
1"-12 UNF0.94590.95350.95160.00030.00030°10'
1"-14 UNS0.95360.96090.95900.00030.00030°10'
1"-20 UNEF0.96750.97340.97190.00030.00030°15'
1 1/16-12 UN1.00841.01581.01390.00030.00030°10'
1 1/16-18 UNEF1.02641.03261.03100.00030.00030°10'
1 1/8-7 UNC1.03221.04161.03930.00040.00040°05'
1 1/8-12 UNF1.07091.07871.07680.00030.00030°10'
1 1/8-18 UNEF1.08891.09511.09350.00030.00030°10'
1 3/16-12 UN1.13341.14091.13900.00030.00030°10'
1 3/16-18 UNEF1.15141.15771.15610.00030.00030°10'
1 1/4-7 UNC1.15721.16681.16440.00040.00040°05'
1 1/4-12 UNF1.19591.20391.20190.00030.00030°10'
1 1/4-18 UNEF1.21391.22021.21860.00030.00030°10'
1 5/16-12 UN1.25841.26591.26400.00030.00030°10'
1 5/16-18 UNEF1.27641.28271.28110.00030.00030°10'
1 3/8-6 UNC1.26671.27711.27450.00040.00040°05'
1 3/8-12 UNF1.32091.32911.32700.00030.00030°10'
1 3/8-18 UNEF1.33891.34521.34360.00030.00030°10'
1 7/16-12 UN1.38341.39101.38910.00030.00030°10'
1 7/16-18 UNEF1.40141.40791.40620.00030.00030°10'
1 1/2-6 UNC1.39171.40221.39960.00040.00040°05'
1 1/2-12 UNF1.44591.45421.45220.00030.00030°10'
1 1/2-18 UNEF1.46391.47041.46870.00030.00030°10'
No rows match that search.

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 SizeClass 2A Class 3AX Tol.
GO −, NO GO +
GONO GOGONO GO
#0-80 UNF0.05140.04960.05190.05060.0002
#1-64 UNC0.06230.06030.06290.06140.0002
#1-72 UNF0.06340.06150.06400.06260.0002
#2-56 UNC0.07380.07170.07440.07280.0002
#2-64 UNF0.07530.07330.07590.07440.0002
#3-48 UNC0.08480.08250.08550.08380.0002
#3-56 UNF0.08670.08450.08740.08580.0002
#4-40 UNC0.09500.09250.09580.09390.0002
#4-48 UNF0.09780.09540.09850.09670.0002
#5-40 UNC0.10800.10540.10880.10690.0002
#5-44 UNF0.10950.10700.11020.10830.0002
#6-32 UNC0.11690.11410.11770.11560.0003
#6-40 UNF0.12100.11840.12180.11980.0002
#8-32 UNC0.14280.13990.14370.14150.0003
#8-36 UNF0.14520.14240.14600.14390.0002
#10-24 UNC0.16190.15860.16290.16040.0003
#10-32 UNF0.16880.16580.16970.16740.0003
#12-24 UNC0.18790.18450.18890.18630.0003
#12-28 UNF0.19180.18860.19280.19040.0003
#12-32 UNEF0.19480.19170.19570.19330.0003
1/4-20 UNC0.21640.21270.21750.21470.0003
1/4-28 UNF0.22580.22250.22680.22430.0003
1/4-32 UNEF0.22870.22550.22970.22730.0003
5/16-18 UNC0.27520.27120.27640.27340.0003
5/16-24 UNF0.28430.28060.28540.28270.0003
5/16-32 UNEF0.29120.28800.29220.28980.0003
3/8-16 UNC0.33310.32870.33440.33110.0003
3/8-24 UNF0.34680.34300.34790.34500.0003
3/8-32 UNEF0.35370.35030.35470.35220.0003
7/16-14 UNC0.38970.38500.39110.38760.0003
7/16-20 UNF0.40370.39950.40500.40190.0003
7/16-28 UNEF0.41320.40960.41430.41160.0003
1/2-13 UNC0.44850.44350.45000.44630.0003
1/2-20 UNF0.46620.46190.46750.46430.0003
1/2-28 UNEF0.47570.47200.47680.47400.0003
9/16-12 UNC0.50680.50160.50840.50450.0003
9/16-18 UNF0.52500.52050.52640.52300.0003
9/16-24 UNEF0.53420.53030.53540.53250.0003
5/8-11 UNC0.56440.55890.56600.56190.0003
5/8-18 UNF0.58750.58280.58890.58540.0002
5/8-24 UNEF0.59670.59270.59790.59490.0003
11/16-24 UNEF0.65920.65520.66040.65740.0003
3/4-10 UNC0.68320.67730.68500.68060.0003
3/4-16 UNF0.70790.70290.70940.70560.0003
3/4-20 UNEF0.71620.71180.71750.71420.0003
13/16-20 UNEF0.77870.77430.78000.77670.0003
7/8-9 UNC0.80090.79460.80280.79810.0003
7/8-14 UNF0.82700.82160.82860.82450.0003
7/8-20 UNEF0.84120.83680.84250.83920.0003
15/16-20 UNEF0.90360.89910.90500.90160.0003
1"-8 UNC0.91680.91000.91880.91370.0004
1"-12 UNF0.94410.93820.94590.94150.0003
1"-14 UNS0.95190.94630.95360.94940.0003
1"-20 UNEF0.96610.96160.96750.96410.0003
1 1/16-12 UN1.00671.00101.00841.00420.0003
1 1/16-18 UNEF1.02501.02031.02641.02280.0003
1 1/8-7 UNC1.03001.02281.03221.02680.0004
1 1/8-12 UNF1.06911.06311.07091.06640.0003
1 1/8-18 UNEF1.08751.08281.08891.08530.0003
1 3/16-12 UN1.13171.12591.13341.12910.0003
1 3/16-18 UNEF1.14991.14501.15141.14780.0003
1 1/4-7 UNC1.15501.14761.15721.15170.0004
1 1/4-12 UNF1.19411.18791.19591.19130.0003
1 1/4-18 UNEF1.21241.20751.21391.21030.0003
1 5/16-12 UN1.25671.25091.25841.25410.0003
1 5/16-18 UNEF1.27491.27001.27641.27280.0003
1 3/8-6 UNC1.26431.25631.26671.26070.0004
1 3/8-12 UNF1.31901.31271.32091.31620.0003
1 3/8-18 UNEF1.33741.33251.33891.33530.0003
1 7/16-12 UN1.38161.37571.38341.37900.0003
1 7/16-18 UNEF1.39991.39491.40141.39750.0003
1 1/2-6 UNC1.38931.38121.39171.38560.0004
1 1/2-12 UNF1.44401.43761.44591.44110.0003
1 1/2-18 UNEF1.46241.45741.46391.46020.0003
No rows match that search.

Metric Work Plugs, Thread Rings & Setting PlugsStandard pitch diameter chart — 6g external / 6H internal

Size & Pitch 6g GO Ring6g NO GO Ring 6H GO Plug6H NO GO Plug
mminmmin mminmmin
M1.6x0.351.354.053311.291.050831.373.054061.458.05740
M2x0.41.721.067761.654.065121.740.068501.830.07205
M2.5x0.452.188.086142.117.083352.208.086932.303.09067
M3x0.52.655.104532.580.101572.675.105312.775.10925
M3.5x0.63.089.121613.004.118273.110.122443.222.12685
M4x0.73.523.138703.433.135163.545.139573.663.14421
M5x0.84.456.175434.361.171694.480.176384.605.18130
M6x1.05.324.209615.212.205205.350.210635.500.21654
M8x1.257.160.281897.042.277247.188.282997.348.28929
M8x1.07.324.288357.212.283947.350.289377.500.29528
M10x1.58.994.354098.862.348909.026.355359.206.36244
M10x1.259.160.360639.042.355989.188.361739.348.36803
M10x1.09.324.367099.212.362689.350.368119.500.37402
M10x0.759.491.373669.391.369729.513.374539.645.37972
M12x1.7510.829.4263410.679.4204310.863.4276811.063.43555
M12x1.510.994.4328310.854.4273211.026.4340911.216.44157
M12x1.2511.160.4393711.028.4341711.188.4404711.368.44756
M12x1.011.324.4458311.206.4411811.350.4468511.510.45315
M14x2.012.663.4985412.503.4922412.701.5000412.913.50839
M14x1.512.994.5115712.854.5060613.026.5128313.216.52031
M15x1.014.324.5639414.206.5592914.350.5649614.510.57126
M16x2.014.663.5772814.503.5709814.701.5787814.913.58713
M16x1.514.994.5903114.854.5848015.026.5915715.216.59906
M17x1.016.324.6426816.206.6380316.350.6437016.510.65000
M18x1.516.994.6690616.854.6635417.026.6703117.216.67780
M20x2.518.334.7218118.164.7151218.376.7234618.600.73228
M20x1.518.994.7478018.854.7422819.026.7490619.216.75654
M20x1.019.324.7607919.206.7561419.350.7618119.510.76811
M22x2.520.334.8005520.164.7938620.376.8022020.600.81102
M22x1.520.994.8265420.854.8210221.026.8278021.216.83528
M24x3.022.003.8662621.803.8583922.051.8681522.316.87858
M24x2.022.663.8922422.493.8855522.701.8937422.925.90256
M25x1.523.994.9446523.844.9387424.026.9459124.226.95378
M27x3.025.003.9843724.803.9765025.051.9862625.316.99669
M27x2.025.6631.0103525.4931.0036625.7011.0118525.9251.02067
M30x3.527.6741.0895327.4621.0811827.7271.0916128.0071.10264
M30x2.028.6631.1284628.4931.1217728.7011.1299628.9251.13878
M30x1.528.9941.1415028.8441.1355929.0261.1427629.2261.15063
M33x2.031.6631.2465731.4931.2398831.7011.2480731.9251.25689
M35x1.533.9941.3383533.8441.3324434.0261.3396134.2261.34748
M36x4.033.3421.3126833.1181.3038633.4021.3150433.7021.32685
M36x2.034.6631.3646934.4931.3579934.7011.3661834.9251.37500
M39x2.037.6631.4828037.4931.4761037.7011.4842937.9251.49311
No rows match that search.

Straight Pipe Thread Pitch DiametersNPSM, NPSC, and NPSL

Nominal Size NPSM Internal 2BNPSM External 2A NPSC InternalNPSL Internal NPSL External
GONO GOGONO GO GONO GOGONO GO GONO 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
3/4-14.9889.9958.9873.9820.9822.99561.01121.01791.00671.0000
1-11 1/21.23861.24621.23691.23111.23051.24681.26581.27391.26041.2523
1 1/4-11 1/21.58341.59121.58161.57561.57521.59151.61061.61871.60511.5970
1 1/2-11 1/21.82231.83021.82051.81441.81421.83051.84951.85761.84411.8360
2-11 1/22.29632.30442.29442.28822.28812.30442.32342.33152.31802.3099
2 1/2-82.76222.77202.76002.75262.75042.77392.80122.81292.79342.7817
3-83.38853.39843.38623.37863.37683.40023.42763.43933.41983.4081
No rows match that search.

Column grouping verified against published NPSM / NPSC / NPSL charts.

Thread Form ReferenceBasic form constants by thread series (P = pitch)

Thread FormIncluded AngleTheoretical DepthActual DepthRoot Radius
Unified / American (UNC, UNF)60°H = 0.86603 × P0.54127 × Pr = 0.14434 × P
ISO Metric60°H = 0.86603 × P0.54127 × Pr = 0.125 × P
British Standard Whitworth (BSW)55°H = 0.960491 × P0.640327 × PR = 0.137329 × P
British Association (BA)47.5°H = 1.13634 × P0.60000 × PR = 0.18083 × P
No rows match that search.

The original sheet used scanned diagrams from published standards. Those should be redrawn as original artwork rather than reproduced.

Jacobs Taper DimensionsInches

Taper No.ADB
00.25000.22840.4375
10.38400.33340.6563
20.55900.48760.8750
2A0.54880.48760.7500
30.81100.74611.2100
41.12401.03721.6563
51.41301.31611.8750
60.67600.62411.0000
330.62400.56051.0000
No rows match that search.

Morse Taper DimensionsInches

Taper No.ADKLB
00.35610.25201.93750.56252.3438
10.47500.36902.06250.75002.5625
20.70000.57202.50000.87503.1250
30.93800.77803.06251.18753.8750
41.23101.02003.87501.25004.8750
51.74801.47504.93751.50006.1250
62.49402.11607.00001.75008.5625
73.27002.75009.50002.625011.6250
No rows match that search.

Decimal & Metric Equivalents of FractionsFractions of an inch

FractionDecimal (in)Millimeters
1/64.01560.396
1/32.03130.795
3/64.04691.191
1/20.05001.270
1/16.06251.588
1/13.07691.953
5/64.07811.984
1/12.08332.116
1/11.09092.309
3/32.09382.383
1/10.10002.540
7/64.10942.779
1/9.11112.822
1/8.12503.175
9/64.14063.571
1/7.14293.630
5/32.15633.967
1/6.16674.234
11/64.17194.366
3/16.18754.763
1/5.20005.080
13/64.20315.159
7/32.21885.558
15/64.23445.954
1/4.25006.350
17/64.26566.746
9/32.28137.145
19/64.29697.541
5/16.31257.938
21/64.32818.334
1/3.33338.466
11/32.34388.733
23/64.35949.129
3/8.37509.525
25/64.39069.921
13/32.406310.320
27/64.421910.716
7/16.437511.113
29/64.453111.509
15/32.468811.908
31/64.484412.304
1/2.500012.700
33/64.515613.096
17/32.531313.495
35/64.546913.891
9/16.562514.288
37/64.578114.684
19/32.593815.083
39/64.609415.479
5/8.625015.875
41/64.640616.271
21/32.656316.670
43/64.671917.066
11/16.687517.463
45/64.703117.859
23/32.718818.258
47/64.734418.654
3/4.750019.050
49/64.765619.446
25/32.781319.845
51/64.796920.241
13/16.812520.638
53/64.828121.034
27/32.843821.433
55/64.859421.829
7/8.875022.225
57/64.890622.621
29/32.906323.020
59/64.921923.416
15/16.937523.813
61/64.953124.209
31/32.968824.608
63/64.984425.004
11.000025.400
No rows match that search.

Mill & Lathe Formulas and ConversionsSpeeds, feeds, threads, geometry, and unit conversion

GroupTo FindFormula
Speeds & FeedsSurface Feet per MinuteSFM = RPM × D × 0.2618
Speeds & FeedsRevolutions per MinuteRPM = (SFM × 3.8197) ÷ D
Speeds & FeedsSurface Meters per MinuteSMPM = SFM × 0.3048
Speeds & FeedsMilling FeedrateIPM = FPT × T × RPM
Speeds & FeedsFeed per Tooth (mill)FPT = IPM ÷ (T × RPM)
Speeds & FeedsFeed per RevolutionFPR = IPM ÷ RPM
Speeds & FeedsInches per Minute (lathe)IPM = IPR × RPM
Speeds & FeedsMetal Removal RateMRR = W × d × F
ThreadsLathe Threading FeedrateIPR = 1 ÷ TPI
ThreadsMill Tapping FeedrateIPM = (1 ÷ TPI) × RPM
ThreadsMill Tapping Feedrate (metric)IPM = RPM × pitch (mm) ÷ 25.4
ThreadsTap Drill Size (inch)Drill ≈ Major Dia. − (% thread × 0.01299 × 2 ÷ TPI)
ThreadsPercentage of Full Thread% = (Major Dia. − Drill Dia.) × TPI ÷ 0.01299
GeometryCircumference of a CircleC = D × 3.1416
GeometryArea of a CircleA = R² × 3.1416
GeometryDiameter from CircumferenceD = C × 0.31831
GeometryRadius from CircumferenceR = C × 0.159155
ConversionsInch to Millimetermm = inch × 25.4
ConversionsMillimeter to Inchinch = mm × 0.03937
ConversionsFoot to Millimetermm = foot × 304.8
ConversionsMeter to Inchinch = meter × 39.37
ConversionsMile to Kilometerkm = mile × 1.609
ConversionsKilometer to Milemile = km × 0.6214
ConversionsFahrenheit to Celsius°C = (°F − 32) × 5 ÷ 9
ConversionsCelsius to Fahrenheit°F = (°C × 9 ÷ 5) + 32
No rows match that search.

Several formulas on the source sheet were transcribed incorrectly and have been restated in standard form. Verify against your own practice before use.