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Pinion pitch
diameter
ψcos
n
P
P
N
Gear outside
diameter
a
D
2+
Gear pitch
diameter
ψcos
n
G
P
N
Pinion
outside
diameter
ad 2+
Normal arc
tooth
thickness
2
n
n
B
P
−
π
Gear root
diameter
b
D
2−
Pinion base
diameter
t
d
φ
cos
Pinion root
diameter
bd 2−
Internal
gears:
Gear base
diameter
t
D
φ
cos
Center
distance
2
dD −
Base helix
angle
(
)
t
φψ
−
costantan
1
Inside
diameter
aD 2−
Root diameter
b
D
2+
*All dimensions are in inches, and angles are in degrees
Lead Angle λ,
deg
Pressure
Angle
Φ
t
, deg
Addendum a Dedendum b
G
0-15 14½ 0.3683p
x
0.3683p
x
15-30 20 0.3683p
x
0.3683p
x
30-35 25 0.2865p
x
0.3314p
x
35-40 25 0.2546p
x
0.2947p
x
Table III.5
Recommended
Pressure
Angles and
Tooth Depths
for Worm
Gearing
40-45 30 0 2228p
x
0.2578p
x
The face width FG of the worm gear should be made equal to the length
of a tangent to the worm pitch circle between its points of intersection with
the addendum circle as shown in Fig. III.6
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