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Rolling mill (manufactured by Fenn) located in the department of metallurgical engineering. Diameter of working rolls is 5.25 inches.
Simplified Analysis of Roll Separating Force in Flat Rolling
The analysis of roll separating forces has received much attention since they are important for the determination of deflections of equipment components (e.g. rolls) and rolling torque. A number of solutions is based on the slab technique, perhaps the most also applied, such as slip line theory, upper bounds, and the finite element method. Since all of these methods are rather involved, only very simple approaches will be considered here.
Projected Contact Length
L2 = (L)2 +
(L)2 = R2 – (R - )2
= Rh -
Roll Separating Force in Flat Rolling
Force due to pressure based on mean yield stress per unit width is
where W = sheet width
= = mean yield shear strength
and o =
σoi = yield strength at roll gap entry
σof = yield strength at roll gap exit
or o =
if functional relationship between stress and true strain in known
A multiplying factor of 1.3 may be used in the force equation to account for friction
where bav =
Flattened roll radius R = R
or R = R
where typically for steel C = 2.4 x 10-5 or 1.6 x 10-7
G.W. Rowe: An Introduction to the Principles of Metalworking.
W.F. Hosford and R.M. Caddell: Metal Forming Mechanics and Metallurgy.
Lab 10 Page
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