Related Resources: gears
Metric and American Gear Equivalents Table 2
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.