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64
Base circle
diameter D
b
Pitch diameter and
pressure angle f
φ
=
cosDD
b
Base pitch p
b
Module and
pressure angle
φ
π
=
cosmp
b
Tooth
thickness at
standard pitch
diameter T
std
Module
mT
std
2
π
=
Center
distance C
Module and
number of teeth
m
NN
C
2
21
+
=
Contact ratio
m
p
Outside radii, base-
circle radii, center
distance, pressure
angle
φπ
φ−−+−
=
cos
sin
2
2
2
2
2
1
2
1
m
CRRRR
m
bobo
p
Backlash
(linear) B
(along pitch
circle)
Change in center
distance
φ
∆
=
tan)(2
C
B
Backlash
(linear) B
(along pitch
circle)
Change in tooth
thickness, T
T
B
∆
=
Backlash
(linear) (along
line of action)
B
LA
Linear backlash
(along pitch circle)
φ
=
cosBB
LA
Backlash
(angular) B
a
Linear backlash
(along pitch circle)
minutes)arc(880.6
D
B
B
a
=
Min. number
teeth for no
undercutting,
N
c
Pressure angle
φ
=
2
sin
2
c
N
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