Determine the magnitude and nature of the stresses, Mechanical Engineering

Determine the magnitude and nature of the stresses:

A thin spherical hollow steel shell of 400 mm diameter & 5 mm thickness is immersed into a liquid container pressurized to 2 N/mm2. Determine the magnitude and nature of the stresses induced in the material of the shell.

Solution

In this case, the shell is subjected into an external pressure of 2 N/mm2. Therefore, the stresses shall be compressive in nature.

Diameter, d = 400 mm.

Thickness, t = 5 mm.

External pressure, p = 2 N/mm2.

∴ Hoop stress, σh  = pd/4t  = 2 × 400 / (4 × 5)

                      σh  = 40 N/mm2 (compressive)

Posted Date: 1/21/2013 2:06:06 AM | Location : United States







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