Lathes Page: 88
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(3) If the faces of the bevel gears were made the full length of
their pitch cones, the teeth cut thereon would be of zero dimensions
at the apex; therefore, the gears are made as frustums of these cones.
This length of face does not generally exceed one-third the outside
cone radius, which may be found by means of the following formula:
Outside cone radius = secant of pinion pitch angle x
pitch diameter of gear
(4) By reference to figure 78, it may be noted that the face, pitch,
and bottom angles of the gear tooth converge at the pitch cone apex,
-... PUTcIDE DIAMETER~
EDGE ANGLE 90
FI; URE 7 .-Bevel gear nomenclature.
causing the face angle to be greater than that of the pitch angle and
the cutting angle, of the tooth to be less. To obtain the face angle,
it is therefore necessary to add the pitch angle to the angular distance
necessary to form the face angle. This angular distance may be
found by means of the following formula:
Tangent of angle=outside cone radius
(5) The compound rest of the lathe is used to machine the angles
of the bevel gears, and the back and front edges of the blank are
machined at 900 to the pitch cone or center angle.
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United States. Army. Air Corps. Lathes, book, November 29, 1940; Washington, D.C.. (digital.library.unt.edu/ark:/67531/metadc96655/m1/90/: accessed April 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.