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Lead Angle definitions
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There are several different "lead angles" that the machinist needs to deal with. Unfortunately in some cases there are also different definitions for the same "Lead Angle". On this page I will compile the definitions I am aware of. Currently I only have these few because I need to reference them and I don't have the time to deal with the others right now.
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Lead Angle on Indexable Milling Cutter
(from discussions with several major tool manufactures)
In North America (where we grew up with inches and feet) Lead Angle is the angle formed between the cutting edge of the insert and a line perpendicular to the direction of feed (line typically parallel to the spindle axis). See Fig. A. However, In the metric world Lead Angle is the angle formed between the cutting edge of the insert and a line parallel to the direction of feed (line typically perpendicular to the spindle axis). See Fig. B

But it's not as simple as millimeters vs. inches. It seems that the definition used (A or B) is more based on the background and/or target audience of who is "talking" than on whether the tool is dimensioned in inches or millimeters. I have found several catalog examples of metric dimensioned tools stating lead angle per fig. A; and several examples dimensioned in inches stating lead angle per fig. B.
So - 2 cutters with exactly the same physical cutting edge angle (relative to spindle axis) can be defined to have different lead angles. It's prudent to verify the tool drawing if you desire a specific lead angle other than 0°, 45° or 90° (which translate to the same physical angle in both systems).
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Lead Angle on Single-point Turning Tool
(from Machinery's Handbook 28th Edition page 735)
The lead angle, shown in Figure is not ground on the tool. It is a tool setting
angle which has a great influence on the performance of the tool. The lead angle is bounded
by the side cutting edge and a plane perpendicular to the workpiece surface when the tool
is in position to cut; or, more exactly, the lead angle is the angle between the side cutting
edge and a plane perpendicular to the direction of the feed travel.

Tool holders should be selected to provide the largest possible lead angle,
although limitations are sometimes imposed by the nature of the job. For example, when
tuning and back-facing a shoulder, a negative lead angle must be used. Slender or small diameter
parts may deflect, causing difficulties in holding size, or chatter when the lead
angle is too large.
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Tap & Thread geometery
(from Machinery's Handbook 28th Edition
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Flute Lead Angle: Angle at which a helical or spiral cutting edge at a given point makes
with an axial plane through the same point.
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Thread Lead Angle: On a straight thread, the lead angle is the angle made by the helix of
the thread at the pitch line with a plane perpendicular to the axis. On a taper thread, the lead
angle at a given axial position is the angle made by the conical spiral of the thread, with the
plane perpendicular to the axis, at the pitch line.

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Lead Angle Angle B is applied to screw threads and worm threads and is referred to as
the lead angle of the screw thread or worm. This angle B is a measure of the inclination of a
screw thread from a plane that is perpendicular to the screw thread axis. Angle B is called
the "lead angle" because it is subtended by the lead of the thread, and to distinguish it from
the term "helix angle" as applied to helical gears.

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Lead Angle at pitch diameter (B) = helix angle of thread as measured from a plane perpendicular
to the axis.
tan B = L ÷ 3.1416E
where E=pitch diameter (basic, maximum, or minimum) and L=lead of thread = pitch × number of threads
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Note:
The information provided on this page is believed to be an accurate representation of the referenced source material.
However, I take no responsibility for the correctness or appropriateness of it when applied to your situation.
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