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Chapter 3 - Rolling of metals

Chapter 3 - Rolling of metals

Chapter 3 - Rolling of metals

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h o<br />

Forces and geometrical relationships<br />

in rolling<br />

o<br />

αααα<br />

v x<br />

o vf<br />

x<br />

L p<br />

o<br />

bh v =<br />

o<br />

o<br />

y<br />

y<br />

R<br />

h f<br />

= bhv bh f v …Eq.1<br />

f<br />

• A metal sheet with a thickness h o enters<br />

the rolls at the entrance plane xx with a<br />

velocity v o .<br />

• It passes through the roll gap and leaves<br />

the exit plane yy with a reduced thickness<br />

h f and at a velocity v f .<br />

• Given that there is no increase in<br />

width, the vertical compression <strong>of</strong> the<br />

metal is translated into an elongation in<br />

the rolling direction.<br />

• Since there is no change in metal<br />

volume at a given point per unit time<br />

throughout the process, therefore<br />

Where b is the width <strong>of</strong> the sheet<br />

v is the velocity at any thickness h intermediate between h o and h f .<br />

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

Jan-Mar 2007

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