Question

A steel plate is bent into a circular arc of radius 10 m. If the plate section be 120 mm wide and 20 mm thick, with $E=2\times {10}^{5}N/m{m}^2$, then the maximum bending stress induced is

• A. $210N/m{m}^2$
• B. $205N/m{m}^2$
• C. $200N/m{m}^2$
• D. $195N/m{m}^2$

Answer 1

The correct option is C $200N/m{m}^2$


$\frac{\sigma }{y}=\frac{M}{I}=\frac{E}{R}$

$\sigma =\frac{M}{I}=\frac{Ey}{R}=\frac{2\times {10}^5\times \frac{20}{2}}{10\times {10}^3}$

$=200N/m{m}^2$