Schaublin_Catalogue
Page - Seite 8.5
Clamping forces for collets
Machining generates forces (Fx, Fy and Fz). The force Fz generates the torque Mx, this torque may cause the work piece to rotate in the collet. The taper ( α ) transforms the axial force (Ft) into a radial force (Fn). The radial force generates the friction which allows the transmission of the machining forces.
F
F
x
t
=
F
⋅
F
D
n
+
(tan α
)
z
2
1 µ
=
M
F
x
y
2
2
2M
F
2 µ s
2
x
z
=
+
F
F
n
x
D
1
=
+
F
F
(tan α n
)
1 µ
t
α, µ
2
1
2M
½ F
2 µ s
2
x
n
µ
=
+
+
F
F
(tan α
)
1 µ
2
t
x
D
1
M
x
D
2
1.5 1.2 s ÷ =
F
D
t
1
F
safety factor
x
F
y
µ for work pieces in steel : 0.3 0.05 1 µ = = ÷
½ F
n
0.6 with serrated bore 0.3 0.4 with grooved bore 0.2 0.3 with smooth bore 0.05 2 ÷ ÷ ÷
Amplification of the axial clamping force in relation to the taper
= 0.3 = 0.2 = 0.1 = 0.05 1 2 3 4 5 6 7 8 9 10 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 Amplification F n /F t [-] Angle of the taper [°] m = 0.3 m = 0.2 m = 0.1 m = 0.05 ) 1 µ (tan α n F t F + = µ 1 µ 1 µ 1 µ 1
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