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Rolling mill Roll pass Design about Spread and elongation

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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