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Use and limits of use
32
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5.2.4 Sample calculation
Required initial clamping force
𝑭
𝒔𝒑𝟎
for a given rotational
speed n
The following data are known for the machining task:
Clamping from outside inwards [application-specific]
Machining force
𝐹
𝑠𝑝𝑧
= 3000𝑁
[application-specific]
Maximal speed
𝑛
𝑚𝑎𝑥
= 3200𝑚𝑖𝑛
−1
[see »General infor-
mation« chapter]
Speed
𝑛 = 1200𝑚𝑖𝑛
−1
[application-specific]
Mass of a top jaw
𝑚
𝐴𝐵
= 5.33𝑘𝑔
[application-specific]
Center of gravity radius of the top jaw
𝑟
𝑠𝐴𝐵
= 0.107𝑚
[ap-
plication-specific]
Safety factor
𝑆
𝑍
= 1.5
[in accordance with VDI 3106]
Safety factor
𝑆
𝑠𝑝
= 1.5
[in accordance with VDI 3106]
INFORMATION
No account is taken of the masses of the jaw chuck
fixing screws and slot nuts.
First of all, the required level of effective clamping force
𝐹
𝑠𝑝
is determined with the help of the given level of machining
force:
𝐹
𝑠𝑝
= 𝐹
𝑠𝑝𝑧
∗ 𝑆
𝑍
= 3000 ∗ 1.5
𝐹
𝑠𝑝
= 4500𝑁
Initial clamping force while stationary:
𝐹
𝑠𝑝0
= 𝑆
𝑠𝑝
∗ (𝐹
𝑠𝑝
+ 𝐹
𝑐
)
Determination of total centrifugal force
𝐹
𝑐
= ∑ 𝑀
𝑐
∗ (
𝜋 ∗ 𝑛
30
)
2
This applies to two-part chuck jaws:
𝑀
𝑐
= 𝑀
𝑐𝐺𝐵
+ 𝑀
𝑐𝐴𝐵
Centrifugal torques of the base jaw and the top jaw [see
»General information« chapter]:
𝑀
𝑐𝐺𝐵
= 0.319𝑘𝑔𝑚
This applies to the centrifugal torque of the top jaw:
𝑀
𝑐𝐴𝐵
= 𝑚
𝐴𝐵
∗ 𝑟
𝑠𝐴𝐵
= 5.33 ∗ 0.107
𝑀
𝑐𝐺𝐵
= 0.57𝑘𝑔𝑚
Centrifugal torque for a jaw:
𝑀
𝑐
= 0.319 + 0.571 = 0.89𝑘𝑔𝑚
𝑀
𝑐
= 0.89𝑘𝑔𝑚
The clamping device has 3 jaws and the total centrifugal
force measures:
∑𝑀
𝑐
= 3 ∗ 𝑀
𝑐
= 3 ∗ 0.889
∑𝑀
𝑐
= 2.667𝑘𝑔𝑚