Thin Cylinders: Stresses in a Thin Cylindrical Shell, Circumferential/Hoop Stress, Longitudinal stress

Thin Cylinders

In general, if the thickness of the wall of a shell is less than 1/10th to 1/15th of its diameter, it is known as a thin shell.

Stresses in a Thin Cylindrical Shell

The walls of the cylindrical shell will be subjected to the following two types of tensile stresses:

1. Circumferential/Hoop stress

2. Longitudinal stress.

Circumferential/Hoop Stress

Circumferential Stress


Consider a thin cylindrical shell subjected to an internal pressure as shown in Fig.(a) and (b).

We know that as a result of the internal pressure, the cylinder has a tendency to split up into two troughs as shown in the figure.

Let l= Length of the shell

d = Diameter of the shell,

Circumferential Stress


Longitudinal Stress

Consider the same cylindrical shell, subjected to the same internal pressure as shown in Fig. (a) and (b). below. We know that as a result of the internal pressure, the cylinder also has a tendency to split into two pieces as shown in the figure.

Let p = Intensity of internal pressure,

l = Length of the shell,

d = Diameter of the shell and

t = Thickness of the shell.

Longitudinal Stress


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