Question

A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is

• A. 1 : 2
• B. 1 : 1
• C. 2 : 1
• D. 4 : 1

Answer 1

The correct option is C 2 : 1

Hoop stress :
${\sigma }_h=\frac{pd}{2t}$

Longitudinal stress :
${\sigma }_L=\frac{pd}{4t}$

$\therefore \frac{{\sigma }_h}{{\sigma }_L}=2:1$