What will be the nature of longitudinal stress in a thin closed cylinder containing hydrostatic fluid pressure?

Explanation:

Longitudinal Stress in a Thin Closed Cylinder:

• In the context of thin-walled pressure vessels, such as a thin closed cylinder containing a hydrostatic fluid, longitudinal stress refers to the stress experienced along the length of the cylinder due to the internal pressure exerted by the fluid. Understanding the nature of this stress is crucial for designing safe and efficient pressure vessels.
• When a thin-walled cylindrical vessel is subjected to internal hydrostatic fluid pressure, it experiences stress in both the longitudinal (axial) and circumferential (hoop) directions. The longitudinal stress is the stress along the length of the cylinder, and it is caused by the internal pressure pushing the ends of the cylinder apart.

In a thin closed cylinder with internal fluid pressure, longitudinal stress arises due to pressure acting on the end caps, trying to pull them apart.

Hence, the nature of longitudinal stress is tensile.

Formulas:

• Hoop stress: \( \sigma_h = \frac{p d}{2 t} \)
• Longitudinal stress: \( \sigma_l = \frac{p d}{4 t} \)