Glossary & Reference
The approach angle — kapr, or entering angle — is the angle between the insert's leading cutting edge and the direction of feed. It looks like a small geometric detail, but it directly controls chip thickness, cutting-force direction, and how forgiving a cutter is on thin walls.
As a milling cutter engages the workpiece, its leading edge meets the material at some angle relative to the feed direction — that's kapr (κr). A 90° approach angle means the edge meets the surface square-on, like a classic shoulder mill. A 45° approach angle spreads that same engagement across a longer, angled edge. Round inserts and high-feed cutters use very shallow approach angles, sometimes as low as 10–15°.
Approach angle changes the relationship between programmed feed per tooth and actual chip thickness: h = fz × sin(κr), where h is chip thickness and fz is feed per tooth. At 90°, sin(90°) = 1, so chip thickness equals the programmed feed per tooth directly. As κr decreases, sin(κr) drops, spreading the same feed per tooth across a longer engaged edge length and producing a thinner chip — this is called axial chip thinning, and it lets you run a higher fz for the same actual chip thickness.
Approach angle also splits cutting force between the radial and axial directions. At 90°, force is overwhelmingly radial — pushed sideways into the tool and workpiece — with very little axial thrust, which is exactly why square-shoulder 90° cutters are the standard choice for shouldering and thin, low-rigidity walls: they don't push down hard on a weak fixture. As the approach angle decreases toward 45°, more of that force shifts into the axial direction and radial force drops, giving a more balanced load that's easier on the spindle and well suited to general-purpose face milling.