Question

A hollow circular column of internal diameter ${}^{\prime }{d}^{\prime }$ and external diameter ${}^{\prime }1.5d^{\prime }$ is subjected to compressive load. The maximum distance of the point of application of load from the centre for no tension is

• A. $d/8$
• B. $13d/48$
• C. $d/4$
• D. $13d/96$

Answer 1

The correct option is B $13d/48$

$e_{max}=\frac{d^2+D^2}{8D}=\frac{d^2+(1.5d{)}^2}{8\times 1.5d}$
$=\frac{3.25d^2}{12d}=\frac{13d}{48}$