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Determine the stresses in the shell:
A thin spherical shell of 1.5 m diameter & 8 mm thickness is filled having a liquid at an internal pressure of 1.5 N/mm2. Determine the stresses in the shell.
Solution
Diameter of the shell, d = 1.5 m = 1500 mm.
Thickness of the shell, t = 8 mm.
Internal pressure, p = 1.5 N/mm2.
∴ Hoop stress = pd /4t = 1.5 × 1500/(4 × 8) = 70.31 N/mm2 (tensile)
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