Machining Details

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▸Formula · assumptions · example(ISO 3002 (Cutting tool geometry) · Sandvik Coromant Technical Standard · DIN 6580)

Formula

v_c = \frac{\pi \cdot D \cdot n}{1000}, \quad v_f = n \cdot z \cdot f_z, \quad Q = \frac{v_c \cdot a_p \cdot a_e}{1000}, \quad P_c = \frac{Q \cdot k_c}{60 \cdot 10^3 \cdot \eta}

ISO 3002 cutting speed vc (m/min), table feed vf (mm/min), metal removal rate Q (cm³/min), and spindle cutting power Pc (kW) via specific cutting force kc.

Assumptions

  • · Specific cutting force kc adjusted for chip thickness hm and positive rake angle geometry
  • · Spindle electro-mechanical drive efficiency estimated at η ≈ 80-85%
  • · Tool life governed by Taylor equation vc · T^n = C under flood coolant conditions

Worked example

Worked example — Face Milling Al6082-T6 (D = 50 mm, z = 4, ap = 3 mm, ae = 40 mm, vc = 450 m/min, fz = 0.15 mm/tooth)

Spindle speed n = 2865 rpm, table feed vf = 1719 mm/min, metal removal rate Q = 206.3 cm³/min, requiring spindle cutting power Pc = 2.82 kW (kc = 700 N/mm²).