Calculations of Cutting Forces & Power

Calculations of Cutting Forces Terminology

The main force F can be split into 3 different forces: F Ft(N)= Tangential force, downward and

f

usually the largest

Direction of feed F (N)= Axial force or feed force, toward the

Direction of feed p Ff

longitudinal axis of the workpiece Fp (N)= Radial force on the perpendicular of the centre line of the workpiece F

t

Cutting Force in Turning

F

Formula

* The specific cutting force (kc) is constant for each material. ItValues Fare affected by the
f and Fp
is unique for each material and it refers to the materialapproach angle, the cutting depth and the
machinability. See catalog page C196.nose radius of the tool. The following

formula can be used for the tangential cutting force: Fc=Kcxarxf Calculations of Power

in which:

The availability for the power calculation for the materialKc = Specific cutting force(N/mm2)*
ar = Cutting depth (mm)
removal is particularly important for roughing, so it is= Feed (mm/rev)

f necessary to verify if the machine’s power is enough for the application. The parameters for the power calculation are v .

c and Fc Formula The machine efficiency ŋ, is also a factor to be considered The formula for the net cutting power referring to the energy loss because of the drive and the calculation is: motor efficiency. This value is between 0,7-0,9 depending on the machine. Vc x Fc P = (KW)

  • x 60 x 1000

Where Fc = apxfxKc = VcxapxfxKc (KW) then P

  • x 60 x 1000

KW to HP conversion: 1 KW = 1.34102209 hp