FORMULAE FOR CUTTING POWER
CUTTING POWER in TURNING (Pc)
- Pc (kW)
- Actual Cutting Power
- ap (mm)
- Depth of Cut
- f (mm/rev)
- Feed per Revolution
- vc (m/min)
- Cutting Speed
- Kc (MPa)
- Specific Cutting Force
- η
- (Machine Coefficient)
(Problem)
What is the cutting power required for machining mild steel at cutting speed 120m/min with depth of cut 3mm and feed 0.2mm/rev (Machine coefficient 80%)?
(Answer)
Substitute the specific cutting force Kc=3100MPa into the formula.
Pc=(3×0.2×120×3100)÷(60×103×0.8)=4.65(kw)
Kc
Workpiece Material |
Tensile Strength(MPa) and Hardness |
Specific Cutting Force Kc (MPa) |
0.1(mm/rev) |
0.2(mm/rev) |
0.3(mm/rev) |
0.4(mm/rev) |
0.6(mm/rev) |
Mild Steel |
520 |
3610 |
3100 |
2720 |
2500 |
2280 |
Medium Steel |
620 |
3080 |
2700 |
2570 |
2450 |
2300 |
Hard Steel |
720 |
4050 |
3600 |
3250 |
2950 |
2640 |
Tool Steel |
670 |
3040 |
2800 |
2630 |
2500 |
2400 |
Tool Steel |
770 |
3150 |
2850 |
2620 |
2450 |
2340 |
Chrome Manganese Steel |
770 |
3830 |
3250 |
2900 |
2650 |
2400 |
Chrome Manganese Steel |
630 |
4510 |
3900 |
3240 |
2900 |
2630 |
Chrome Molybdenum Steel |
730 |
4500 |
3900 |
3400 |
3150 |
2850 |
Chrome Molybdenum Steel |
600 |
3610 |
3200 |
2880 |
2700 |
2500 |
Nickel Chrome Molybdenum Steel |
900 |
3070 |
2650 |
2350 |
2200 |
1980 |
Nickel Chrome Molybdenum Steel |
352HB |
3310 |
2900 |
2580 |
2400 |
2200 |
Hard Cast Iron |
46HRC |
3190 |
2800 |
2600 |
2450 |
2270 |
Meehanite Cast Iron |
360 |
2300 |
1930 |
1730 |
1600 |
1450 |
Gray Cast Iron |
200HB |
2110 |
1800 |
1600 |
1400 |
1330 |
CUTTING POWER in MILLING (Pc)
- Pc (kW)
- Actual Cutting Power
- ap (mm)
- Depth of Cut
- ae (mm)
- Cutting Width
- vf (mm/min)
- Table Feed per Min.
- Kc (MPa)
- Specific Cutting Force
- η
- (Machine Coefficient)
(Problem)
What is the cutting power required for milling tool steel at cutting speed 80m/min. With depth of cut 2mm, cutting width 80mm, and table feed 280mm/min by ø250 cutter with 12 insert. Machine coefficient 80%.
(Answer)
First, calculate spindle speed in order to obtain feed per tooth.
n=1000vc÷pD1=(1000×80)÷(3.14×250)=101.91min-1
Feed per Tooth
fz = vf÷(z×n) = 280 ÷ (12×101.9) = 0.228mm/tooth
Substitute the specific cutting force into the formulae.
Pc=(2×80×280×1800)÷(60×106×0.8)=1.68kw
Kc
Workpiece material |
Tensile strength
(MPa)
and hardness
|
Specific Cutting Force Kc(MPa) |
0.1(mm/tooth) |
0.2(mm/tooth) |
0.3(mm/tooth) |
0.4(mm/tooth) |
0.6(mm/tooth) |
Mild Steel |
520 |
2200 |
1950 |
1820 |
1700 |
1580 |
Medium Steel |
620 |
1980 |
1800 |
1730 |
1600 |
1570 |
Hard Steel |
720 |
2520 |
2200 |
2040 |
1850 |
1740 |
Tool Steel |
670 |
1980 |
1800 |
1730 |
1700 |
1600 |
Tool Steel |
770 |
2030 |
1800 |
1750 |
1700 |
1580 |
Chrome Manganese Steel |
770 |
2300 |
2000 |
1880 |
1750 |
1660 |
Chrome Manganese Steel |
630 |
2750 |
2300 |
2060 |
1800 |
1780 |
Chrome Molybdenum Steel |
730 |
2540 |
2250 |
2140 |
2000 |
1800 |
Chrome Molybdenum Steel |
600 |
2180 |
2000 |
1860 |
1800 |
1670 |
Nickel Chrome Molybdenum Steel |
940 |
2000 |
1800 |
1680 |
1600 |
1500 |
Nickel Chrome Molybdenum Steel |
352HB |
2100 |
1900 |
1760 |
1700 |
1530 |
Cast Iron |
520 |
2800 |
2500 |
2320 |
2200 |
2040 |
Hard Cast Iron |
46HRC |
3000 |
2700 |
2500 |
2400 |
2200 |
Meehanite Cast Iron |
360 |
2180 |
2000 |
1750 |
1600 |
1470 |
Gray Cast Iron |
200HB |
1750 |
1400 |
1240 |
1050 |
970 |
Brass |
500 |
1150 |
950 |
800 |
7000 |
630 |
Light Alloy (Al-Mg) |
160 |
580 |
480 |
400 |
350 |
320 |
Light Allow (Al-Si) |
200 |
700 |
600 |
490 |
450 |
390 |