Question

When a thin cylindrical shell is subjected to an internal pressure, there will be

• A. A decrease in diameter and length of the shell
• B. An Increase in diameter and decrease in length of the shell
• C. A decrease in diameter and increase in length of the shell
• D. None of these

Answer 1

The correct option is D None of these

When a thin cylindrical shell is subjected to an internal pressure, then will be a increase in diameter and length of the shell.

Longitudinal strain,
${\epsilon }_l=\frac{pd}{4tE}(1-2\mu )$

Hoop strain,
${\epsilon }_h=\frac{pd}{4tE}(2-\mu )$

Volumetric strain,
${\epsilon }_v=2{\epsilon }_h+{\epsilon }_l$

$=\frac{pd}{4tE}(5-4\mu )$

We know,
$\mu \ngeqq 0.5$

So,
${\epsilon }_l\to +veand{\epsilon }_h\to +ve$
i.e., length and diameter both will increase.