A thin spherical shell of diameter (d) and thickness (t) is subjected to an internal pressure (p). The stress in the shell material is

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ISRO VSSC Technical Assistant Mechanical 8 Feb 2015 Official Paper

Answer 1

Explanation:

Thin spherical shell:

The hoop stress/longitudinal stress of a spherical shell is given by

\({\sigma _L} = {\sigma _H} = \frac{{pd}}{{4t}}=\sigma\)

where p = pressure applied, d = diameter of shell and t = thickness of the shell

After re-arranging the above equation, we get

\(t=\frac{pd}{4\sigma}\)