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63
ANALYSIS
1.3
A spur gearset has a module of 4 mm and a velocity
ratio of 2.80. The pinion has 20 teeth. Find the number
of teeth on the driven gear, the pitch diameters, and the
theoretical center-to-center distance.
ANALYSIS
1.4
A 21 -tooth spur pinion mates with a 28-tooth gear. The
diametral pitch is 3 teeth/in and the pressure angle is
20°. Make a drawing of the gears showing one tooth on
each gear. Find and tabulate the following results: the
addendum, dedendum, clearance, circular pitch, tooth
thickness, and base circle diameters; the lengths of the
arc of approach, recess, and action; and the base pitch
and contact ratio.
Table IV.3 Metric Spur Gear Design Formulas
To obtain: From known
Use this formula
*
Pitch diameter
D
Module; diametral
pitch
D=mN
Circular pitch
p
c
Module; diametral
pitch
PN
D
mp
c
π
=π=π=
Module m Diametral pitch
P
m
4.25
=
No. of teeth N
Module and pitch
diameter
m
D
N =
Addendum a Module
ma
=
Dedendum b Module
mb 25.1
=
Outside
diameter D
o
Module and pitch
diameter or number
of teeth
)2(2 +
=
+
=
NmmDD
o
Root diameter
D
r
Pitch diameter and
module
mDD
r
5.2
−
=
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