Formulas


Cutting speed (vc)
(m/min)​

Spindle speed (n)
(rpm)​

Feed per tooth (fz)
(mm)​

Metal removal rate (Q)
(cm³/min)​
Table feed or feed speed (vf)
(mm/min)​
Torque (Mc)
(Nm)​
 
 
Net power requirement (Pc) (kW)​
 
 
Average chip thickness (hm). For straight cutting edge.

 

Side milling
(mm)

Note: arccos in degrees​

 

Face milling
If the workpiece is placed central to the milling cutter.
(mm)

Note: arcsin in degrees​

 
 
 
Specific cutting force (kc)
(N/mm²)​
 
 
If γ0 is unknown, use γ0 = 0°, which becomes:​

 

Formulas for specific milling cutters

Cutters having a straight cutting edge

 

 
 
Max. cutting diameter at a specific depth mm.​
 
 
Face milling (centered workpiece)
straight edge and
side milling (ae >Dcap/2) mm.​
 
Side milling (ae <Dcap/2)
straight edge mm.​
 
Cutters with round inserts

 

 
 
Max. cutting diameter at a specific depth mm.​
 
 
Face milling round insert
(ae >Dcap/2) mm.​
 
Slide milling (ae<Dcap/2) and round insert (ap<iC/2) mm.​
 
Ball nose end mills

 

Max. cutting diameter at a
specific depth mm.​
 
Feed per tooth (mm/tooth),
cutter centered.​
 
 
 
Feed per tooth (mm/tooth), side milling.​
 
 

Internal circular ramping (3-axes) or circular milling (2-axes)

 

Calculated version

 

Peripheral feed
(mm/min)​
 
Tool centre feed
(mm/min)​
 
 
 
Radial depth of cut
(mm)​
 
 
In a solid workpiece where

D
w = 0 and ae eff = Dm/2​

 

Feed per tooth
(mm)​
When widening a hole

 

Feed per tooth
(mm)​
 
 

External circular ramping (3-axes) or circular milling (2-axes)​

 

Calculated version

 

Peripheral feed
(mm/min)​
 
Tool centre feed
(mm/min)​
 
 
 
Feed per tooth
(mm)​