Related Resources: gears

Metric and American Gear Equivalents Table 2

Gears Engineering and Design

Metric and American Gear Equivalents Table 2 for sizes 7.2571 to 203.2".

The preferred standard gears of the metric system are not interchangeable with the preferred diametral-pitch sizes. The Table below lists commonly used pitches and modules of both systems.

Note that the basic racks for metric and American inch gears are essentially identical, but metric and American standard gears are not interchangeable.

Metric gearing not only is based upon different units of length measure but also involves its own unique design standard. This means that metric gears and American-standard-inch diametral-pitch gears are not interchangeable.

In the metric system the module m is analogous to pitch and is defined as:

m = D / N = mm of pitch diameter per tooth

ISO Metric Gearing Standards

ISO 53 Cylindrical gears for general and heavy engineering Basic rack
ISO 54 Cylindrical gears for general and heavy engineering Modules and diametral pitches
ISO 677 Straight bevel gears for general and heavy engineering Basic rack
ISO 678 Straight bevel gears for general and heavy engineering Modules and diametral pitches
ISO 701 International gear notation—symbols for geometric data
ISO 1122-1 Glossary of gear terms—Part 1: Geometric definitions
ISO 1328 Parallel involute gears—ISO system of accuracy
ISO 1340 Cylindrical gears—Information to be given to the manufacturer by the purchaser in order to obtain the gear required
ISO 1341 Straight bevel gears—Information to be given to the manufacturer by the purchaser in order to obtain the gear required
ISO 2203 Technical drawings—Conventional representation of gears

Tooth proportions for standard spur and helical gears are given in terms of the basic rack. Dimensions, in millimeters, are normalized for module m 5 1. Corresponding values for other modules are obtained by multiplying each dimension by the value of the specific module m. Major tooth parameters are described by this standard:

Metric and American Gear Equivalents Table

Diametral
pitch
Pd
Module
m
Circular
pitch
Circular
tooth
thickness
Addendum
in
mm
in
mm
in
mm
7.2571
3.5
0.4329
10.996
0.2164
5.4979
0.1378
3.500
7.8154
3.25
0.4020
10.211
0.2010
5.1054
0.1279
3.250
8
3.1750
0.3927
9.974
0.1964
4.9886
0.1250
3.175
8.4667
3
0.3711
9.426
0.1855
4.7130
0.1181
3.000
9
2.8222
0.3491
8.867
0.1745
4.4323
0.1111
2.822
9.2364
2.75
0.3401
8.639
0.1700
4.3193
0.1082
2.750
10
2.5400
0.3142
7.981
0.1571
3.9903
0.1000
2.540
10.1600
2.50
0.3092
7.854
0.1546
3.9268
0.0984
2.500
11
2.3091
0.2856
7.254
0.1428
3.6271
0.0909
2.309
11.2889
2.25
0.2783
7.069
0.1391
3.5344
0.0886
2.250
12
2.1167
0.2618
6.646
0.1309
3.3325
0.0833
2.117
12.7000
2
0.2474
6.284
0.1236
3.1420
0.0787
2.000
13
1.9538
0.2417
6.139
0.1208
3.0696
0.0769
1.954
14
1.8143
0.2244
5.700
0.1122
2.8500
0.0714
1.814
14.5143
1.75
0.2164
5.497
0.1082
2.7489
0.0689
1.750
15
1.6933
0.2094
5.319
0.1047
2.6599
0.0667
1.693
16
1.5875
0.1964
4.986
0.0982
2.4936
0.0625
1.587
16.9333
1.5
0.1855
4.712
0.0927
2.3562
0.0591
1.500
18
1.4111
0.1745
4.432
0.0873
2.2166
0.0556
1.411
20
1.2700
0.1571
3.990
0.0785
1.9949
0.0500
1.270
20.3200
1.25
0.1546
3.927
0.0773
1.9635
0.0492
1.250
22
1.1545
0.1428
3.627
0.0714
1.8136
0.0455
1.155
24
1.0583
0.1309
3.325
0.0655
1.6624
0.0417
1.058
25.4000
1
0.1237
3.142
0.0618
1.5708
0.0394
1.000
28
0.90701
0.1122
2.850
0.0561
1.4249
0.0357
0.9071
28.2222
0.9
0.1113
2.827
0.0556
1.4137
0.0354
0.9000
30
0.84667
0.1047
2.659
0.0524
1.3329
0.0333
0.8467
31.7500
0.8
0.0989
2.513
0.04945
1.2566
0.0315
0.8000
32
0.79375
0.0982
2.494
0.04909
1.2468
0.0313
0.7937
33.8667
0.75
0.0928
2.357
0.04638
1.1781
0.0295
0.7500
36
0.70556
0.0873
2.217
0.04363
1.1083
0.0278
0.7056
36.2857
0.7
0.0865
2.199
0.04325
1.0996
0.0276
0.7000
40
0.63500
0.0785
1.994
0.03927
0.9975
0.0250
0.6350
42.3333
0.6
0.0742
1.885
0.03710
0.9423
0.0236
0.6000
44
0.57727
0.0714
1.814
0.03570
0.9068
0.0227
0.5773
48
0.52917
0.0655
1.661
0.03272
0.8311
0.0208
0.5292
50
0.50800
0.0628
1.595
0.03141
0.7976
0.0200
0.5080
50.8000
0.5
0.06184
1.5707
0.03092
0.7854
0.0197
0.5000
63.5000
0.4
0.04947
1.2565
0.02473
0.6283
0.0157
0.4000
64
0.39688
0.04909
1.2469
0.02454
0.6234
0.0156
0.3969
67,7333
0.375
0.04638
1.1781
0.02319
0.5890
0.0148
0.3750
72
0.35278
0.04363
1.1082
0.02182
0.5541
0.0139
0.3528
72.5714
0.35
0.04329
1.0996
0.02164
0.5498
0.0138
0.3500
78.1538
0.325
0.04020
1.0211
0.02010
0.5105
0.0128
0.3250
80
0.31750
0.03927
0.9975
0.01964
0.4987
0.0125
0.3175
84.6667
0.3
0.03711
0.9426
0.01856
0.4713
0.0118
0.3000
92.3636
0.275
0.03401
0.8639
0.01700
0.4319
0.0108
0.2750
96
0.26458
0.03272
0.8311
0.01636
0.4156
0.0104
0.2646
101.6000
0.25
0.03092
0.7854
0.01546
0.3927
0.00984
0.2500
120
0.21167
0.02618
0.6650
0.01309
0.3325
0.00833
0.2117
125
0.20320
0.02513
0.6383
0.01256
0.3192
0.00800
0.2032
127.0000
0.2
0.02474
0.6284
0.01237
0.3142
0.00787
0.2000
150
0.16933
0.02094
0.5319
0.01047
0.2659
0.00667
0.1693
169.3333
0.15
0.01855
0.4712
0.00928
0.2356
0.00591
0.1500
180
0.14111
0.01745
0.4432
0.00873
0.2216
0.00555
0.1411
200
0.12700
0.01571
0.3990
0.00786
0.1995
0.00500
0.1270
203.2000
0.125
0.01546
0.3927
0.00773
0.1963
0.00492
0.1250

Tooth form: Straight-sided and full-depth, forming the basis of a family of full-depth interchangeable gears.
Pressure angle: 20°, conforming to worldwide acceptance.
Addendum: Equal to module m, which corresponds to the American practice of 1/Pd 5 addendum.
Dedendum: Equal to 12.5m, which corresponds to the American practice of 1.25/Pd 5 dedendum.
Root radius: Slightly greater than American standards specifications.
Tip radius: A maximum is specified, whereas American standards do not specify. In practice, U.S. manufacturers can specify a tip radius as near zero as possible.