Question

Hoop tension in a pressure pipe (where 'p' is the pressure at the pipe centre, 'd' is the diameter of pipe and 't' is the thickness of pipe wall) is given by

• A. $\frac{pd}{2t}$
• B. $\frac{pd}{4t}$
• C. $\frac{pd}{6t}$
• D. $\frac{pd}{8t}$

Answer 1

The correct option is A $\frac{pd}{2t}$

Thin shell (cylindrical)

(a) Hoope stress

${\sigma }_h=Hoopstress=tensile$
${\sigma }_h=\frac{pd}{2t}$

(b) Longitudinal stress

${\sigma }_l=\frac{pd}{4t}$