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Chapter 3 - Rolling of metals

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2) Normal friction situation<br />

In the normal case <strong>of</strong> friction situation in plane strain, the average<br />

pressure p can be calculated as.<br />

From Eq.8,<br />

_<br />

_<br />

σ<br />

p<br />

'<br />

o<br />

P<br />

=<br />

=<br />

1<br />

Q<br />

_<br />

p<br />

Q ( e −1)<br />

bL p<br />

Q ⎤<br />

( e −1)<br />

b R∆<br />

⎥<br />

⎦<br />

2 ⎡ 1<br />

P = o ⎢<br />

h<br />

3 ⎣Q<br />

_<br />

σ<br />

…Eq.9<br />

Where Q = µµµµL p /h<br />

h = the mean thickness between entry and exit from the rolls.<br />

We have …Eq.10<br />

Roll diameter <strong>Rolling</strong> load<br />

Suranaree University <strong>of</strong> Technology Tapany Udomphol<br />

Jan-Mar 2007

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