Turning Tools B

Cutting forces

(1) Finding from the diagram based on experimental data. (2) In case determining by simplifi ed equation: F : Cutting force (N) kc : Specifi c cutting force (N/mm2)

Cutting force in turningBack forceC
[Refer to the Table below]
Feed forceap : Depth of cut (mm)
f : Feed (mm/rev)
Example :
Resultant cutting forceCalculating the cutting force whenD
cutting a high carbon steel (ISO C55)
at f = 0.2 mm/rev and ap = 3 mm.

Principal force F = 3430 3 0.2 = 2058N

Pc : Net power requirement (kW) E Calculating power requirement c kc : Specifi c cutting force (N/mm2) (kW) [Refer to the Table below]

v : Cutting speed (m/min) c ap : Depth of cutting (mm) F f : Feed (mm/rev)

Value of specifi c cutting force (kc)

Workpiece materialTil h MPHd HBValue of specifi ci cutting force on feedkc (N/mm2)
(JIS)ense strengt (a)arness ()0.04(mm/rev)0.1(mm/rev)0.2(mm/rev)0.4(mm/rev)1.0(mm/rev)
SS400,S15C39010034302840245020801700
S35C,S40C59017042203490294025002080
S50C,SCr43078523049004020343029402400
SCM440,SNCM43998030053904410378032402650
SDK1765(56HRC)56HRC83906870588050004120
FC200(160HB)16025501960163013401030
FCD600(200HB)20033302550211017501340
Aluminium alloy(89HB)8913501130950810670
Aluminium1050870740640520
Magnesium alloy390390390390390
Brass10801080108010801080

Brass 1080 1080

Bending stress and tool defl ection Bending stress Square shank (1) Square shank

( MPa )

(2) Round shank

( MPa )

Tool defl ection (mm)

Round shank

(1) Square shank

d ( mm )

(2) Round shank

( mm )

1080 1080 1080 I

S : Bending stress in shank (MPa) J F : Cutting force (N) L : Overhang length of tool (mm) b : Shank width (mm):〔B〕

h : Shank height (mm):〔H〕

d : Shank diameter (mm):〔DCONMS〕 K

E : Modulus of elasticity of shank material (MPa) 〔 〕The notation in the brackets is the one used in the catalog (ISO compliant) L

M

(Ref.) Values of E

MaterialMPa (N/mm2){kgf/mm2}
Steel210,00021,000

Cemented 560,000~620,000 56,000~62,000 Carbide