A metallic sheet 1 m wide and 10 mm thick is to be rolled under a front tension force of 100 KN. A specimen from the sheet, tested under tension, shows a yield stress of 100 MPa. Assume plain strain condition during rolling and ignore the friction. If yielding is assumed to start at a roll pressure of σ3 MPa, then the stress in the width direction (where strain is zero) is

A. $$2 + \frac{{\sigma 3}}{2}$$

B. $$4 + \frac{{\sigma 3}}{5}$$

C. $$5 + \frac{{\sigma 3}}{2}$$

D. $$5 + \frac{{\sigma 3}}{3}$$

Answer: Option C