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58
Roll angle is the angle subtended at the center of a base circle from
the origin of an involute to the point of tangency of a point on a straight
line from any point on the same involute. The radian measure of this
angle is the tangent of the pressure angle of the point on the involute.
Root diameter is the diameter of the circle that contains the roots or
bottoms of the tooth spaces.
Tangent plane is a plane tangent to the tooth surfaces at a point or
line of contact.
Tip relief is an arbitrary modification of a tooth profile where a small
amount of material is removed from the involute face of the tooth
surface near the tip of the gear tooth.
Tooth face is the surface between the pitch line element and the tooth
tip.
Tooth surface is the total tooth area including the flank of the tooth
and the tooth face.
Total face width is the dimensional width of a gear blank and may
exceed the effective face width as with a double-helical gear where the
total face width includes any distance separating the right-hand and left-
hand helical gear teeth.
Transverse plane is a plane that is perpendicular to the axial plane
and to the pitch plane.
In gears with parallel axes, the transverse plane and the plane of rotation
coincide.
Trochoid is the curve formed by the path of a point on the extension
of a radius of a circle as it rolls along a curve or line. A trochoid is also
the curve formed by the path of a point on a perpendicular to a straight
line as the straight line rolls along the convex side of a base curve. By
the first definition, a trochoid is derived from the cycloid, by the second
definition it is derived from the involute.
True involute form diameter is the smallest diameter on the tooth at
which the point of tangency of the involute tooth profile exists. Usually
this position is the point of tangency of the involute tooth profile and
the fillet curve, and is often referred to as the TIF diameter.
Undercut is a condition in generated gear teeth when any part of the
fillet curve lies inside a line drawn at a tangent to the working profile at
its lowest point. Undercut may be introduced deliberately to facilitate
shaving operations, as in pre-shaving.
Whole depth is the total depth of a tooth space, equal to the addendum
plus the dedendum and equal to the working depth plus clearance.
Working depth is the depth of engagement of two gears, or the sum of
their addendums. The standard working distance is the depth to which a
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