Calculation

Ball End Mill Effective Diameter

Created on · ball-nose-effective-diameter

Calculates the effective diameter and spindle speed of a ball end mill from axial depth of cut.

Tool diameter

Axial immersion depth

Cutting speed at engagement

Maximum spindle speed

Continue calculating

Use the immersion depth from the actual contact geometry. For an inclined tool or freeform contact, determine the contact point separately.

deff = 2 × √(D × ap − ap²)n = 1000 × vc / (π × deff)

Sources: Spherical-cap geometry and the cutting-speed relation vc = π × d × n / 1000.