| TO
GET |
HAVING |
RULE |
FORMULA |
| N |
Number
of teeth |
Given |
50 |
| DP |
Diametral
pitch |
10 |
| h |
Pitch
helix angle |
31.50000 |
| αn |
Normal
pressure angle |
30 |
| tn |
Normal
arc tooth thickness |
0.15440 |
| DP |
Pin
diameter |
0.17280 |
| αd |
Transverse
pressure angle |
TAN(αn)=TAN(αn)/COS(h) |
34.10320 |
| td |
Transverse
arc tooth thickness |
tn/COS(h) |
0.18108 |
| H |
Base
helix angle |
TAN(H)=TAN(h)•COSαd |
26.90400 |
| dD |
Transverse
pin diameter |
d/COS(H) |
0.19377 |
| PD |
Pitch
diameter |
N/[DP•COS(h)] |
5.86414 |
| BD |
Base
diameter |
PD•COS(αd) |
4.85568 |
| INVαd |
Involute
function of ad |
TAN(αd)-[αd(π/180)] |
0.08192 |
| A |
|
td/PD |
0.03088 |
| D |
|
dD/BD |
0.03991 |
| E |
|
π/N |
0.06283 |
| INVβ |
Involute
function of β |
A+D+INVαd-E |
0.08987 |
| β |
Pressure
angle to pin center |
See
tables (page G14) |
35.06197 |
| CC |
Twice
the center distance |
BD/COS(β) |
5.93218 |
| DE |
Dimension
over pins even # of teeth |
CC+d |
6.10498 |
| DO |
Dimension
over pins odd # of teeth |
COS(90/N)•CC+d |
*********** |
| Φ |
Pressure
angle to point of tangency |
TAN(Φ)=TAN(β)-[d•COS(H)/BD] |
33.82546 |
| RT |
Radius
to point of tangency |
BD/[2•COS(Φ)] |
2.92251 |