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39
The addendum a is the radial distance between the top land and the
pitch circle. The dedendum b is the radial distance from the bottom land to
the pitch circle. The whole depth h
t
is the sum of the addendum and the
dedendum.
The clearance circle is a circle that is tangent to the addendum circle of
the mating gear. The clearance n is the amount by which the dedendum in a
given gear exceeds addendum of its mating gear. The backlash is the amount
by which the width of a tooth space exceeds the thickness of the engaging
tooth measured on the pitch circles.
You should prove for yourself the validity of the following useful
relations:
d
N
P =
where P = diametral pitch, teeth per inch
N = number of teeth
d = pitch diameter, in
N
d
m =
where m = module, mm; d = pitch diameter, mm
N
d
p
π
=
where p = circular pitch
π
=p
P
.
Figure III.5
Nomenclature of
spur-gear teeth.
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