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A thin spherical pressure vessel of radius 800mm has wall thickness of 8mm. Determine the maximum stress caused by internal pressure of 0.6 MPa. Determine change in diameter if E = 200GPa.
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Given:

r=800mm,d=1600mmt=8mmP=0.6MPa=0.6N/mm21m=μ=0.25

To Find σc&δd

Solution

σc=Pd4t=0.6×16004×8σc=30N/mm2

$e_c = \frac{\sigma_c}{E} - \mu\frac{\sigma_c}{E} = \frac{30}{200\hspace{0.05cm}\times\hspace{0.05cm}10^3} - 0.25\frac{30}{200\hspace{0.05cm}\times\hspace{0.05cm}10^3}\\ \hspace{0.25cm} = 1.125\hspace{0.05cm}\times\hspace{0.05cm}10^{-4}\\ e_c = \frac{\delta d}{d}\\ \delta …

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