Omni Gear and Machine Corporation - Toll Free: (800) 876-7216 - Fax: (815) 723-9207
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Rules
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Diametral Pitch |
| TO GET | HAVING | RULE | FORMULA |
| Module | Diametral pitch | Divide 25.4 by the diametral pitch | m=25.4/Pd |
| Diametral pitch | Module | Divide 25.4 by the module | Pd=25.4/m |
| Circular pitch | Divide π by the circular pitch | Pd=π/P | |
| Pitch diameter and number of teeth | Divided the number of teeth by pitch diameter | Pd=N/D | |
| Outside of gear and number of teeth | Divide number of teeth plus 2 by the outside diameter | Pd=N+2/Do | |
| Base pitch and pressure angle | Divide the base pitch by the cosine of the pressure angle then divide by π | Pd=(Pb/cos.Φ)/π | |
| Operating diametral pitch | Center distance between 2 gears and no. of teeth in both | Add the no. of teeth in both gears and divide by 2, then divide by center distance | dp= (n1+n2/2)/C |
| Pressure angle | Base diam.. and pitch diam. | Divide the base diameter by the pitch diam. | cos.Φ=Db/D |
| Base pitch and diametral pitch | Divide π by the diametral pitch, then divide by the base pitch | cos.Φ=Pb/(π/Pd) | |
| Base pitch and circular pitch | Divide the base pitch by the circular pitch= cosine pressure angle | cos.Φ=Pb/P | |
| Pitch Diameter | Number of teeth and diametral pitch | Divide the no. of teeth by the diametral pitch | D=N/Pd |
| Number of teeth and outer diameter | Divide the product of the outer diam.. and number of teeth by number of teeth +2 | D=N•Do/n+2 | |
| Outside diameter and diametral pitch | Subtract from the outside diameter, the quotient of 2 divided by the diametral pitch | D=Do-2/pd | |
| Addendum and no. of teeth | Multiply addendum by the no. of teeth | D=a•n | |
| Base diameter and pressure angle | Divide the base diameter by the cosine of the pressure angle | dp=Db/cos.f | |
| Outside Diameter | Number of teeth and diametral pitch | Divide no. of teeth plus two by the diametral pitch | Do=N+2/Pd |
| Pitch diameter and diametral pitch | Add the pitch diameter to the quotient of 2 divided by the diametral pitch | Do=D+2/Pd | |
| Pitch diameter and number of teeth | Divide the no. of teeth plus 2 by the quotient of no. of teeth divided by the pitch diameter | Do=N+2/N/D | |
| Number of teeth and addendum | Multiply the no. of teeth plus 2 by addendum | Do=(N+2)a | |
| Number of teeth | Pitch diameter and diametral pitch | Multiply pitch diameter by the diametral pitch | N=D•Pd |
| Outside diameter and diametral pitch | Multiply outside diameter by the diametral pitch and subtract 2 | N=Do•Pd-2 | |
| Std. thickness of tooth | Diametral pitch | Divide 1.5708 by the diametral pitch | t=1.5708/Pd |
| Std. addendum | Diametral pitch | Divide 1 by the diametral pitch | a=1/Pd |
| Std. Dedendum | Diametral pitch | Divide 1.157 (or 1.25) by the diametral pitch | b=1.157/Pd |
| Std. whole depth | Diametral pitch | Divide 2.157 (or 2.25) by the diametral pitch | ht=2.157/Pd |
| Clearance | Diametral pitch | Divide .157 or (.250) by the diametral pitch | c= .157/Pd |
| Thickness of tooth | Divde thickness of tooth at pitch line by 10 | c=t/10 | |
| Center distance | Normal diametral pitch and no. of teeth in both gears | Add no. of teeth in both gears and divide by 2, then divide result by the normal diametral pitch | dp=((n1+n)2/2)/Pnd |
| Operating center distance | Operating diametral pitch and no. of teeth in both gears | Add the no. of teeth in both gears together and divide results by 2, then divide results by operating diametral pitch | dp=(n1+n2/2)/Pod |
| Base diameter | Pitch diameter and pressure angle | Multiply the pitch diameter by cosine of the pressure angle | Db=D•cosΦ |
| Base pitch | Diametral pitch and pressure angle | Divide the diametral pitch by π, then multiply by cosine of pressure angle | Pb=cos.Φ•π/Pd |