A cylinder is considered to be a ‘thin cylinder’, if the thickness to internal diameter of the cylindrical shell is:

This question was previously asked in

DFCCIL Executive Civil 2018 Official Paper

Option 3 : less than 1/20

CT 1: Current Affairs (Government Policies and Schemes)

54560

10 Questions
10 Marks
10 Mins

__Concept:__

If the thickness of the wall of the cylinder vessel is less than \(\frac{1}{{15}}\;to\frac{1}{{20}}\) its internal diameter, the cylinder vessel is known as a thin cylinder.

\(\frac{t}{d} \le\frac{1}{20}\) | Thin-walled cylinder |

\(\frac{t}{d} > \frac{1}{20}\) | Thick-walled cylinder |

Where,

d is the internal diameter of the cylinder.

t is the thickness of the wall of the cylinder

**Note:**

The circumferential stress or hoop stress (\({\sigma _c}\)) and longitudinal stress (\({\sigma _l}\)) in a thin shell due to internal fluid pressure is:

\({\sigma _c} = \frac{{Pd}}{{2t}}\;and\;{\sigma _l} = \frac{{Pd}}{{4t}}\)