Calculation formula of turning
  • Types
  • Outer diameter
  • End face
  • Grooving
  • Cut off the
    Constant speed Tc
    Tc
    =
    60 x L
    f x n
    Tc
    =
    60 x (D1-D2x N
    2 x f x n
    Tc
    =
    60 x (D1-D2
    2 x f x n
    Tc
    =
    60 x D1
    2 x f x n
    Constant cutting speed T1
    T1
    =
    60 x π x L x Dm
    1,000 x f x vc
    T1
    =
    60 x π x(D1+D2x(D1-D2x N
    4,000 x f x vc
    T1
    =
    60 x π x(D1+D2x(D1-D2
    4,000 x f x vc
    T1
    =
    60 x π x(D1+D3x(D1-D3
    4,000 x f x vc
  • fFeed rate[mm/rev]
  • nSpindle speed[min-1]
  • LProcessing length[mm]
  • DmProcessing diameter[mm]
  • D1Maximum processing diameter[mm]
  • D2Min processing diameter[mm]
  • D3Maximum speed time diameter[mm]
  • nmaxMaximum spindle speed[min-1]
  • Constant cutting speed:Maximum speed
  • T2
    =
    T1
    +
    60 xD3
    2 x f x nmax
    2. Required power Pc [kW]
Pc
=
vc x f x ap x kc
60 x 1,000 x (Ƞ ÷100)
  • PcRequired power[kW]
  • vcCutting speed[m/min]
  • fFeed rate[mm/rev]
  • apCut deep[mm]
  • KcSpecific cutting resistance[MPa]
  • ȠMechanical power[%](70~85)
    3. Cutting speed VC [m/min]
vc
=
π x Dm x n
1,000
    4. Spindle speed n [min-1]
n
=
vc x 1,000
π x Dm
    5. Feed rate f [mm/rev]
f
=
I x π x Dm
vc x 1,000
=
I
n
    6. Theoretical surface roughness h [μm]
h
=
f2 x 1,000
8 x RE
    7. Horsepower required H [HP]
H
=
Pc
0.75
    8. Chip discharge Q [cm3/min]
Q
=
vc x f x ap
    9. Cutting resistance P [kN]
P
=
Kc x f x ap
1,000
 
Specific cutting resistance Kc Approximate value
P
Non-alloy steel1,500 MPa
Low-alloy steel2,000 MPa
High alloy steel3,000 MPa
M
Austenite system2,000 MPa
Ferritic system2,500 MPa
K
Malleable cast iron900 MPa
Gray cast iron1,200 MPa
Nodular cast iron1,500 MPa
N
Aluminum alloy500 MPa
Copper alloy900 MPa
S
Ti base1,400 MPa
Fe base2,500 MPa
Ni base2,800 MPa
Co base3,000 MPa
H
High hardness steel 50-55HRC 3,300 MPa
High hardness steel 60-63HRC 4,500 MPa
High hardness cast iron3,500 MPa
vc
Cutting speed[m/min]
n
Spindle speed[min-1]
Dm
Processing diameter[mm]
f
Feed rate[mm/rev]
I
Processing length per minute[mm]
h
Theoretical surface roughness[μm]
RE
Tool nose radius[mm]
H
Horsepower required[HP]
Pc
Required power[kW]
Q
Chip discharge[cm3/min]
ap
Cut deep[mm]
P
Cutting resistance[kN]
Kc
Specific cutting resistance[MPa]
    ※ π ≒ 3.14
  • FcPrincipal force
  • FfFeed force
  • FpBack force
 
 
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