TO GET

HAVING

RULE

FORMULA

N

Number of teeth

Given

50

DP

Diametral pitch

Given

8

α

Pressure angle

Given

20

d

Pin diameter

Given

0.21144

DE

Dimension over pins even # of

teeth

Given

6.53345

DO

Dimension over pins odd # of

teeth

Given

***********

PD

Pitch diameter

N/DP

6.25000

BD

Base diameter

PD•COS(α)

5.87308

CE

Twice the center distance of pin

and gear even # of teeth

DE-d

6.32201

CO

Twice the center distance of pin

and gear odd # of teeth

(DO-d)/COS(90/N)

***********

β

Pressure angle to pin center

COS(β)=BD/CE or CO

21.72221

INVβ

Involute function of β

TAN(β)-[β(π/180)]

0.01927

E

π/N

0.06283

D

d/BD

0.03600

INVα

Involute function of α

TAN(α)-[α(π/180)]

0.01490

t

Arc tooth thickness

PD(E+INVβ-INVα-D)

0.19500