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Formula to calculate cutting process
Formula to calculate cutting process
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Formula for calculating turning
Formula for calculating milling
Formula for calculating end milling
Formula for calculating drilling
Calculating of turning
Calculating of turning [Calculating cutting speed and rotational speed]
(1) Calculating rotation speed from cutting speed
VC:Cutting speed
(m/min)
Dm:Diameter of workpiece
(mm)
n:Spindle speed
(min
-1
)
(2) Calculating cutting speed from rotation speed
Dm:Diameter of workpiece
(mm)
n:Spindle speed
(min
-1
)
VC:Cutting speed
(m/min)
Calculating of turning [Calculating power requirement]
VC:Cutting speed
(m/min)
f:Feed rate
(mm/rev)
ap:Depth of cut
(mm)
KC:Specific cutting force
(MPa)
η:Machine efficiency
(0.7~0.85)
PC:Net power requirement
(kW)
H:Required horsepower
(HP)
Calculating of turning [Calculating cutting force]
KC:Specific cutting force
(MPa)
q:Chip area
(mm
2
)
p:Cutting force
(kN)
KC:Cutting force
(MPa)
ap:Depth of cut
(mm)
f:Feed rate
(mm/rev)
p:Cutting force
(kN)
Calculating of turning [Calculating machined surface roughness]
f:Feed rate
(mm/rev)
RE:Nose radius
(mm)
h:Theoretical surface roughness
(μm)
Calculating of turning [Calculating chips discharge amount]
VC:Cutting speed
(m/min)
ap:Depth of cut
(mm)
f:Feed rate
(mm/rev)
Q:Chips discharge amount
(cm
3
/min)
Calculating of turning [Calculating machining time (OD)]
(1) Calculating from spindle speed
L:Machining length
(mm)
f:Feed rate
(mm/rev)
n:Spindle speed
(min
-1
)
T:Machining time
(sec)
(2) Calculating from cutting speed
L:Machining length
(mm)
f:Feed rate
(mm/rev)
Dm:OD of work material
(mm)
VC:Cutting speed
(m/min)
T:Machining time
(sec)
Calculating of turning [Calculating machining time (Grooving)]
f:Feed rate
(mm/rev)
n:Spindle speed
(min
-1
)
D1:Max. diameter of work material
(mm)
D2:Min. diameter of work material
(mm)
T:Machining time
(sec)
Calculating of turning [Calculating machining time (Cutting-off)]
f:Feed rate
(mm/rev)
n:Spindle speed
(min
-1
)
D1:Max. diameter of work material
(mm)
T:Machining time
(sec)
Milling calculation formulas
Milling calculation formulas [Calculating cutting speed]
(1) Calculating cutting speed
DC:Cutter diameter
(mm)
n:Rotational speed
(min
-1
)
VC:Cutting speed
(m/min)
(2) Calculating rotational speed
VC:Cutting speed
(m/min)
DC:Cutter diameter
(mm)
n:Rotational speed
(min
-1
)
Milling calculation formulas [Calculating feed speed]
(1) Feed speed per minute
fz:Feed rate per tooth
(mm/t)
Z:Number of teeth
(pieces)
n:Rotational speed
(min
-1
)
Vf:Feed speed per minute
(m/min)
(2) Feed rate per tooth
Vf:Feed speed per minute
(m/min)
Z:Number of teeth
(pieces)
n:Rotational speed
(min
-1
)
fz:Feed rate per tooth
(mm/t)
Milling calculation formulas [Calculating chip removal amount]
ae:Cutting width
(mm)
Vf:Feed speed per minute
(mm/min)
ap:Depth of cut
(mm)
Q:Chip removal amount
(cm
3
/min)
Milling calculation formulas [Calculating power requirement]
ae:Cutting width
(mm)
apDepth of cut
(mm)
KC:Specific cutting force
(MPa)
vf:Table feed speed per minute
(mm/min)
η:Machine efficiency
(about 0.75)
Pc:Power requirement
(kW)
Q:Chip removal amount
(cm
3
/min)
KC:Specific cutting force
(MPa)
η:Machine efficiency
(about 0.75)
Pc:Power requirement
(kW)
Milling calculation formulas [Calculating required horsepower]
PC:Power requirement
(kw)
H:Power requirement
(horsepower)
Endmilling calculation formulas
(1) Calculating cutting speed
DC:Endmill diameter
(mm)
n:Spindle speed
(min
-1
)
VC:Cutting speed
(m/min)
(2) Calculating spindle speed
VC:Cutting speed
(m/min)
DC:Endmill diameter
(mm)
n:Spindle speed
(min
-1
)
(3) Calculating feed rate per minute (1)
f:Feed rate per tooth
(mm/rev)
n:Spindle speed
(min
-1
)
Vf:Feed rate per minute
(m/min)
(4) Calculating feed rate per minute (2)
Z:Number of teeth
(pieces)
n:Spindle speed
(min
-1
)
fz:Feed rate per tooth
(mm/t)
Vf:Feed rate per minute
(m/min)
(5) Calculating feed rate per revolution
n:Spindle speed
(min
-1
)
Vf:Feed rate per minute
(m/min)
f:Feed rate per tooth
(mm/rev)
(6) Calculating feed rate per tooth (1)
f:Feed rate per revolution
(mm/rev)
Z:Number of teeth
(pieces)
fz:Feed rate per tooth
(mm/t)
(7) Calculating feed rate per tooth (2)
Vf:Feed rate per minute
(m/min)
n:Spindle speed
(min
-1
)
Z:Number of teeth
(pieces)
fz:Feed rate per tooth
(mm/t)
・Calculating notch width of ball endmill
RE:Ballnose radius
(mm)
ap:Depth of cut
(mm)
D1:Notch width
(mm)
Drilling calculation formulas
(1) Calculating cutting speed
DC:Drill diameter
(mm)
n:Spindle speed
(min
-1
)
VC:Cutting speed
(m/min)
(2) Calculating spindle speed
VC:Cutting speed
(m/min)
DC:Drill diameter
(mm)
n:Spindle speed
(min
-1
)
(3) Calculating feed rate per minute (1)
f:Feed rate per tooth
(mm/rev)
n:Spindle speed
(min
-1
)
Vf:Feed rate per minute
(m/min)
(4) Calculating feed rate per revolution
n:Spindle speed
(min
-1
)
Vf:Feed rate per minute
(m/min)
f:Feed rate per tooth
(mm/rev)
(5) Calculation of cutting time
H:Drilling depth
(mm)
Vf:Feed rate per minute
(m/min)
T:Cutting time
(min)
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