Strength of Materials

9.3 THIN SPHERICAL SHELLS UNDER INTERNAL PRESSURE

A thin spherical shell subjected to an internal pressure p (Figure 9.6) is considered. Let d and t be the internal diameter and thickness of spherical shell, respectively.

 

 

Fig. 9.6 Development of stress in sphere.

 

The pressure of the fluid tends to split the shell from the other portion of the vessel.

The force P, which has a tendency to split the shell =

The resisting force developed due to hoop or tangential stress, f_h = f₁ × (Area resisting the force)

 

 

For equilibrium Equation (9.34) ...