Determine the stresses in the shell, Mechanical Engineering

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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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