Please refer to the tables below for spur gear calculations:
DIAMETRAL PITCH (IMPERIAL)
Diametral Pitch is the Number of Teeth to each Inch of the Pitch Diameter.
To obtain the |
If you have the... |
Formula |
Diametral Pitch |
Circular Pitch |
DP = 3.1416 |
Diametral Pitch |
Pitch Diameter and the Number of Teeth |
DP = N |
Diametral Pitch |
Outside Diameter and Number of Teeth |
DP = N+2 |
Diametral Pitch |
Module |
DP = 25.4 |
Pitch Diameter |
Number of Teeth and the Diametral Pitch |
PD = N |
Pitch Diameter |
Number of Teeth and the Outside Diameter |
PD = (OD) (N) |
Pitch Diameter |
Outside Diameter and the Diametral Pitch |
PD = OD – 2 |
Outside Diameter |
Number of Teeth and the Diametral Pitch |
OD = N+2 |
Outside Diameter |
Pitch Diameter and the Diametral Pitch |
OD = PD + 2 |
Outside Diameter |
Pitch Diameter and the Number of Teeth |
OD = N+2 |
Number of Teeth |
Pitch Diameter and the Diametral Pitch |
N = (PD) x (DP) |
Number of Teeth |
Outside Diameter and the Diametral Pitch |
N = (OD) x (DP) – 2 |
Module |
Diametral Pitch |
MOD = 25.4 |
Please note: the above formulae relates to standard outside diameters and pitch diameters.
MODULE (METRIC)
Module represents the amount of Pitch Diameter (mm) per tooth
To obtain the |
If you have the... |
Formula |
Module |
Pitch Diameter and the Number of Teeth |
MOD = PD |
Module |
Circular Pitch |
MOD = CP |
Module |
Diametral Pitch |
MOD = 25.4 |
Module |
Outside Diameter and the Number of Teeth |
MOD = OD |
Pitch Diameter |
Module and the Number of Teeth |
PD = MOD x N |
Pitch Diameter |
Number of Teeth and the Outside Diameter |
PD = OD x N |
Pitch Diameter |
Outside Diameter and the Module |
PD = OD – 2MOD |
Outside Diameter |
Module and the Number of Teeth |
OD = (N+2) x MOD |
Diametral Pitch |
Module |
DP = 25.4 |
Please note: the above formulae relates to standard outside diameters and pitch diameters.
For bevels, worm gears and helicals we suggest you have these drawn up and send the drawing to Ronson Gears for quotation.