Rolling mill Roll pass Design about Spread and elongation

Spread and elongation Speard :- when the steel ( section) compressed in the roll it is move in free space in rolling passes it called spread , in case plastic deformation apply here Here some formula for calculate spread Spread displayed by - ∆b 1- ∆b = (∆h × b in ×√( b in × R n )) / (3 × ( b in^ + ( h in × h out)) 2- ∆b = 0.66 × (∆h/ h in+ h out) × √(∆h × R n)) Where:- n = new roll diameter Rn= new roll radius Elongation Elongation is percentage of tension from section to point of failure Formula of calculate elongation Ain / Aout = Et Where:- Ain = Entry steel ( section) cross sectional area Aout = Exit steel( section ) cross sectional area Et = total elongation Average elongation n√( Ain / Aout ) = Eave Where:- n = number of passes Ea = average elongation