Question

Consider a circular member of diameter $D$ subjected to a compressive load $P$. For a condition of no tensile stress in the cross-section the maximum radial distance of the load from the centre of the circle is

• A. $\frac{D}{6}$
• B. $\frac{D}{8}$
• C. $\frac{D}{12}$
• D. $\frac{D}{4}$

Answer 1

The correct option is B $\frac{D}{8}$

${\sigma }_A=0$
$\Rightarrow \frac{P}{A}-\frac{M}{I}y=0$
$\Rightarrow \frac{P}{\pi /4D^2}-\frac{Pe}{\frac{\pi D^4}{64}}y\times \frac{D}{2}=0$
$\Rightarrow e=\frac{D}{8}$