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ELEMENTS OF METRIC GEAR TECHNOLOGY
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Metric
0 10
I
R
T
1
a x
α w
O 1
α w
d b2
d a2
d 2
d f2
2
3
O 2
4
No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Fig. 5-1 The Meshing of Internal Gear and External Gear
(α = 20°, z 1 = 16, z 2 = 24, x 1 = x 2 = 0.5)
Table 5-1 The Calculation of a Profile Shifted Internal Gear and External Gear (1)
Example
Item Symbol Formula
External Internal
Gear (1) Gear (2)
Module
m
3
Pressure Angle
Number of Teeth
Coefficient of Profile Shift
Involute Function α w
Working Pressure Angle
Center Distance Increment Factor
Center Distance
Pitch Diameter
Base Circle Diameter
Working Pitch Diameter
Addendum
Whole Depth
Outside Diameter
Root Diameter
α
z 1 , z 2
x 1 , x 2
inv α w
α w
y
a x
d
d b
d w
h a1
h a2
h
d a1
d a2
d f1
d f2
x 2 – x 1
2 tan α (–––––– )+ inv α
z 2 – z 1
Find from Involute Function Table
z 2 – z 1 cos α
––––– (––––– – 1)
2 cos α w
z 2 – z 1
(––––– + y)m
2
zm
d cos α
d b –––––
cos α w
(1 + x 1 )m
(1 – x 2 )m
2.25m
d 1 + 2h a1
d 2 – 2h a2
d a1 – 2h
d a2 + 2h
20°
16 24
0 0.5
0.060401
31.0937°
0.389426
13.1683
48.000 72.000
45.105 67.658
52.673 79.010
3.000 1.500
6.75
54.000 69.000
40.500 82.500
T-43
5
6
7
8
9
10
11
12
13
14
15
A