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
Related Questions on Mechanical Metallurgy
In a tensile test of ductile material, necking starts at
A. lower yield stress
B. upper yield stress
C. ultimate tensile strength
D. just before fracture
A. $$2 + \frac{{\sigma 3}}{2}$$
B. $$4 + \frac{{\sigma 3}}{5}$$
C. $$5 + \frac{{\sigma 3}}{2}$$
D. $$5 + \frac{{\sigma 3}}{3}$$
A. P-1, Q-2, R-3
B. P-4, Q-3, R-1
C. P-3, Q-1, R-4
D. P-2, Q-1, R-3
A. the outer edges of the rod
B. $$\frac{r}{3}$$ from the centre
C. $$\frac{r}{2}$$ from the centre
D. the centre
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