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.
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,
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.