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MARYLAND METRICS

Phones: (410)358-3130 (800)638-1830

P.O.Box 261

Technical data:

Faxes: (410)358-3142 (800)872-9329

Owings Mills, MD 21117 USA

E-mail: techinfo@mdmetric.com

URL: http://mdmetric.com

Spur Gear Dimensional Formulas
Module Pitch
Rules and Formulas
For Module (Metric) Spur Gear Calculations
(Module Represents the Amount of Pitch Diameter per Tooth)
To Find

Having

Rule

Metric Module

Pitch Diameter and Number of Teeth

Metric Module

Circular Pitch in Millimeter

Divide Pitch Diameter in Millimeters by the
Number of Teeth
Divide Circular Pitch in Millimeters by Pi (3,1416)

Metric Module

Diametral Pitch

Divide 25,4 by Diametral Pitch

Metric Module

Outside Diameter and Number of Teeth

Pitch Diameter

Module and Number of Teeth

Divide Outside Diameter (in Millimeters) by the
Number of Teeth plus 2
Multiply Module by Number of Teeth

Pitch Diameter

Number of Teeth and Outside Diameter

Pitch Diameter

Outside Diameter and the Module

Outside Diameter

Module and Number of Teeth

Divide the product of Outside Diameter and
No, of Teeth by No, of Teeth plus 2
Multiply Module by 2 and Subtract from
Outside Diameter
Number of Teeth plus 2 Multiplied by Module

Diametral Pitch

Module

Divide 25,4 by Module

Circular Pitch

Module

Multiply Module by Pi (3,1416)

Addendum

Module Known

The Addendum equals the Module

Whole Depth

Module Known

Multiply 2,157 by Module

Thickness of Tooth

Module and Outside Diameter

English Module

Pitch Diameter in Inches and Number of Teeth

Multiply Pitch Diameter (in Millimeters) by the Sine
of the Angle of 90 Divided by the Number of Teeth
Divide Pitch Diameter in Inches by Number of Teeth

NOTE: Rules and Formulas Relating to Tooth Depth and Outside Diameter Apply to Full-Depth, Equal Addendum Gears.

copyright 2002 maryland metrics

Formula

M = PD (Millimeters)
N
M = C (Millimeters)
3,1416
M = 25,4
DP
M = OD
N+2
D’ (In MM)= M x N
D’ = OD x N
N+2
D’ = OD - 2M
OD (In MM) = (N + 2) x M
DP = 25,4
M
C’ (In MM) = M x 3,1416
A=M
D” (In MM) = 2,157 x M
t (In MM) = PD (MM) x Sine 90
N
M = PD (Inches)
N
MARYLAND METRICS

Phones: (410)358-3130 (800)638-1830

P.O.Box 261

Technical data:

Faxes: (410)358-3142 (800)872-9329

Owings Mills, MD 21117 USA

E-mail: techinfo@mdmetric.com

URL: http://mdmetric.com

Module Pitch
Tooth Dimensions
Tooth Dimensions Based Upon Module System
(One millimeter equals 0.03937 inch)
Module
DIN
Standard Series

Equivalent
Diametral
Pitch

Circular Pitch
Millimeters

Inches

Addendum,
Millimeters

0,3
84,667
0,943
0,0371
0,30
0,4
63,500
1,257
0,0495
0,40
0,5
50,800
1,571
0,0618
0,50
0,6
42,333
1,885
0,0742
0,60
0,7
36,286
2,199
0,0865
0,70
0,8
31,750
2,513
0,0989
0,80
0,9
28,222
2,827
0,1113
0,90
1
25,400
3,142
0,1237
1,00
1,25
20,320
3,927
0,1546
1,25
1,5
16,933
4,712
0,1855
1,50
1,75
14,514
5,498
0,2164
1,75
2
12,700
6,283
0,2474
2,00
2,25
11,289
7,069
0,2783
2,25
2,5
10,160
7,854
0,3092
2,50
2,75
9,236
8,639
0,3401
2,75
3
8,466
9,425
0,3711
3,00
3,25
7,815
10,210
0,4020
3,25
3,5
7,257
10,996
0,4329
3,50
3,75
6,773
11,781
0,4638
3,75
4
6,350
12,566
0,4947
4,00
4,5
5,644
14,137
0,5566
4,50
5
5,080
15,708
0,6184
5,00
5,5
4,618
17,279
0,6803
5,50
6
4,233
18,850
0,7421
6,00
6,5
3,908
20,420
0,8035
6,50
7
3,628
21,991
0,8658
7,00
8
3,175
25,132
0,9895
8,00
9
2,822
28,274
1,1132
9,00
10
2,540
31,416
1,2368
10,00
11
2,309
34,558
1,3606
11,00
12
2,117
37,699
1,4843
12,00
13
1,954
40,841
1,6079
13,00
14
1,814
43,982
1,7317
14,00
15
1,693
47,124
1,8541
15,00
16
1,587
50,266
1,9790
16,00
18
1,411
56,549
2,2263
18,00
20
1,270
62,832
2,4737
20,00
22
1,155
69,115
2,7210
22,00
24
1,058
75,398
2,9685
24,00
27
0,941
84,823
3,339
27,00
30
0,847
94,248
3,711
30,00
33
0,770
103,673
4,082
33,00
36
0,706
113,097
4,453
36,00
39
0,651
122,522
4,824
39,00
42
0,605
131,947
5,195
42,00
45
0,564
141,372
5,566
45,00
50
0,508
157,080
6,184
50,00
55
0,462
172,788
6,803
55,00
60
0,423
188,496
7,421
60,00
65
0,391
204,204
8,040
65,00
70
0,363
219,911
8,658
70,00
75
0,339
235,619
9,276
75,00
† Dedendum and total depth when clearance = 0.1666 x module, or one-sixth module.
‡ Total Depth equivalent to American standard full-depth teeth. (Clearance = 0.157 x Module.)

copyright 2002 maryland metrics

Dedendum
Millimeters †

0,35
0,467
0,583
0,700
0,817
0,933
1,050
1,167
1,458
1,750
2,042
2,333
2,625
2,917
3,208
3,500
3,791
4,083
4,375
4,666
5,25
5,833
6,416
7,000
7,583
8,166
9,333
10,499
11,666
12,833
14,000
15,166
16,332
17,499
18,666
21,000
23,332
25,665
28,000
31,498
35,000
38,498
41,998
45,497
48,997
52,497
58,330
64,163
69,996
75,829
81,662
87,495

Whole
Depth, †
Millimeters

0,650
0,867
1,083
1,300
1,517
1,733
1,950
2,167
2,708
3,250
3,792
4,333
4,875
5,417
5,958
6,500
7,041
7,583
8,125
8,666
9,750
10,833
11,916
13,000
14,083
15,166
17,333
19,499
21,666
23,833
26,000
28,166
30,332
32,499
34,666
39,000
43,332
47,665
52,000
58,498
65,000
71,498
77,998
84,497
90,997
97,497
108,330
119,163
129,996
140,829
151,662
162,495

Whole
Depth, ‡
Millimeters

0,647
0,863
1,079
1,294
1,510
1,726
1,941
2,157
2,697
3,236
3,774
4,314
4,853
5,392
5,932
6,471
7,010
7,550
8,089
8,628
9,707
10,785
11,864
12,942
14,021
15,099
17,256
19,413
21,571
23,728
25,884
28,041
30,198
32,355
34,512
38,826
43,142
47,454
51,768
58,239
64,713
71,181
77,652
84,123
90,594
97,065
107,855
118,635
129,426
140,205
150,997
161,775

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Module gear data

  • 1. MARYLAND METRICS Phones: (410)358-3130 (800)638-1830 P.O.Box 261 Technical data: Faxes: (410)358-3142 (800)872-9329 Owings Mills, MD 21117 USA E-mail: techinfo@mdmetric.com URL: http://mdmetric.com Spur Gear Dimensional Formulas Module Pitch Rules and Formulas For Module (Metric) Spur Gear Calculations (Module Represents the Amount of Pitch Diameter per Tooth) To Find Having Rule Metric Module Pitch Diameter and Number of Teeth Metric Module Circular Pitch in Millimeter Divide Pitch Diameter in Millimeters by the Number of Teeth Divide Circular Pitch in Millimeters by Pi (3,1416) Metric Module Diametral Pitch Divide 25,4 by Diametral Pitch Metric Module Outside Diameter and Number of Teeth Pitch Diameter Module and Number of Teeth Divide Outside Diameter (in Millimeters) by the Number of Teeth plus 2 Multiply Module by Number of Teeth Pitch Diameter Number of Teeth and Outside Diameter Pitch Diameter Outside Diameter and the Module Outside Diameter Module and Number of Teeth Divide the product of Outside Diameter and No, of Teeth by No, of Teeth plus 2 Multiply Module by 2 and Subtract from Outside Diameter Number of Teeth plus 2 Multiplied by Module Diametral Pitch Module Divide 25,4 by Module Circular Pitch Module Multiply Module by Pi (3,1416) Addendum Module Known The Addendum equals the Module Whole Depth Module Known Multiply 2,157 by Module Thickness of Tooth Module and Outside Diameter English Module Pitch Diameter in Inches and Number of Teeth Multiply Pitch Diameter (in Millimeters) by the Sine of the Angle of 90 Divided by the Number of Teeth Divide Pitch Diameter in Inches by Number of Teeth NOTE: Rules and Formulas Relating to Tooth Depth and Outside Diameter Apply to Full-Depth, Equal Addendum Gears. copyright 2002 maryland metrics Formula M = PD (Millimeters) N M = C (Millimeters) 3,1416 M = 25,4 DP M = OD N+2 D’ (In MM)= M x N D’ = OD x N N+2 D’ = OD - 2M OD (In MM) = (N + 2) x M DP = 25,4 M C’ (In MM) = M x 3,1416 A=M D” (In MM) = 2,157 x M t (In MM) = PD (MM) x Sine 90 N M = PD (Inches) N
  • 2. MARYLAND METRICS Phones: (410)358-3130 (800)638-1830 P.O.Box 261 Technical data: Faxes: (410)358-3142 (800)872-9329 Owings Mills, MD 21117 USA E-mail: techinfo@mdmetric.com URL: http://mdmetric.com Module Pitch Tooth Dimensions Tooth Dimensions Based Upon Module System (One millimeter equals 0.03937 inch) Module DIN Standard Series Equivalent Diametral Pitch Circular Pitch Millimeters Inches Addendum, Millimeters 0,3 84,667 0,943 0,0371 0,30 0,4 63,500 1,257 0,0495 0,40 0,5 50,800 1,571 0,0618 0,50 0,6 42,333 1,885 0,0742 0,60 0,7 36,286 2,199 0,0865 0,70 0,8 31,750 2,513 0,0989 0,80 0,9 28,222 2,827 0,1113 0,90 1 25,400 3,142 0,1237 1,00 1,25 20,320 3,927 0,1546 1,25 1,5 16,933 4,712 0,1855 1,50 1,75 14,514 5,498 0,2164 1,75 2 12,700 6,283 0,2474 2,00 2,25 11,289 7,069 0,2783 2,25 2,5 10,160 7,854 0,3092 2,50 2,75 9,236 8,639 0,3401 2,75 3 8,466 9,425 0,3711 3,00 3,25 7,815 10,210 0,4020 3,25 3,5 7,257 10,996 0,4329 3,50 3,75 6,773 11,781 0,4638 3,75 4 6,350 12,566 0,4947 4,00 4,5 5,644 14,137 0,5566 4,50 5 5,080 15,708 0,6184 5,00 5,5 4,618 17,279 0,6803 5,50 6 4,233 18,850 0,7421 6,00 6,5 3,908 20,420 0,8035 6,50 7 3,628 21,991 0,8658 7,00 8 3,175 25,132 0,9895 8,00 9 2,822 28,274 1,1132 9,00 10 2,540 31,416 1,2368 10,00 11 2,309 34,558 1,3606 11,00 12 2,117 37,699 1,4843 12,00 13 1,954 40,841 1,6079 13,00 14 1,814 43,982 1,7317 14,00 15 1,693 47,124 1,8541 15,00 16 1,587 50,266 1,9790 16,00 18 1,411 56,549 2,2263 18,00 20 1,270 62,832 2,4737 20,00 22 1,155 69,115 2,7210 22,00 24 1,058 75,398 2,9685 24,00 27 0,941 84,823 3,339 27,00 30 0,847 94,248 3,711 30,00 33 0,770 103,673 4,082 33,00 36 0,706 113,097 4,453 36,00 39 0,651 122,522 4,824 39,00 42 0,605 131,947 5,195 42,00 45 0,564 141,372 5,566 45,00 50 0,508 157,080 6,184 50,00 55 0,462 172,788 6,803 55,00 60 0,423 188,496 7,421 60,00 65 0,391 204,204 8,040 65,00 70 0,363 219,911 8,658 70,00 75 0,339 235,619 9,276 75,00 † Dedendum and total depth when clearance = 0.1666 x module, or one-sixth module. ‡ Total Depth equivalent to American standard full-depth teeth. (Clearance = 0.157 x Module.) copyright 2002 maryland metrics Dedendum Millimeters † 0,35 0,467 0,583 0,700 0,817 0,933 1,050 1,167 1,458 1,750 2,042 2,333 2,625 2,917 3,208 3,500 3,791 4,083 4,375 4,666 5,25 5,833 6,416 7,000 7,583 8,166 9,333 10,499 11,666 12,833 14,000 15,166 16,332 17,499 18,666 21,000 23,332 25,665 28,000 31,498 35,000 38,498 41,998 45,497 48,997 52,497 58,330 64,163 69,996 75,829 81,662 87,495 Whole Depth, † Millimeters 0,650 0,867 1,083 1,300 1,517 1,733 1,950 2,167 2,708 3,250 3,792 4,333 4,875 5,417 5,958 6,500 7,041 7,583 8,125 8,666 9,750 10,833 11,916 13,000 14,083 15,166 17,333 19,499 21,666 23,833 26,000 28,166 30,332 32,499 34,666 39,000 43,332 47,665 52,000 58,498 65,000 71,498 77,998 84,497 90,997 97,497 108,330 119,163 129,996 140,829 151,662 162,495 Whole Depth, ‡ Millimeters 0,647 0,863 1,079 1,294 1,510 1,726 1,941 2,157 2,697 3,236 3,774 4,314 4,853 5,392 5,932 6,471 7,010 7,550 8,089 8,628 9,707 10,785 11,864 12,942 14,021 15,099 17,256 19,413 21,571 23,728 25,884 28,041 30,198 32,355 34,512 38,826 43,142 47,454 51,768 58,239 64,713 71,181 77,652 84,123 90,594 97,065 107,855 118,635 129,426 140,205 150,997 161,775