Determine the stresses in the shell, Mechanical Engineering

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Determine the stresses in the shell:

A cylindrical boiler is 2.5 m in diameter and 20 mm in thickness and it carries steam at a pressure of 1.0 N/mm2. Determine the stresses in the shell.

Solution

Diameter of the shell, d = 2.5 m = 2500 mm. Thickness of the shell, t = 20 mm.

Internal pressure, p = 1.0 N/mm².

∴ Longitudinal stress pd /4t = (1.0 × 2500 )/(4 × 20 )= 31.25 N/mm²(tensile)

∴ Hoop stress pd /2t = 1.0 × 2500 /2 × 20= 62.5 0 N/mm² (tensile)

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