Hoop Pressure Calculator

Formula

The formula to calculate the hoop pressure (P_h) is:

$P_h = \frac{P_i \times r_i}{t}$

Where:

Hoop Pressure: Also known as circumferential stress, it is the stress exerted in the circumferential direction of a cylindrical object, such as a pipe or a pressure vessel. This stress is caused by the internal pressure acting on the walls of the cylinder and is crucial for the design and analysis of pressure vessels and piping systems. Hoop pressure is typically the largest stress in a cylindrical object under internal pressure and is a critical parameter for ensuring the structural integrity and safety of the vessel.

Let's say the internal pressure (P_i) is 500,000 Pa, the internal radius (r_i) is 0.5 m, and the wall thickness (t) is 0.05 m. Using the formula:

$P_h = \frac{500000 \times 0.5}{0.05}$

We get:

$P_h = 5000000\, \text{Pa}$

So, the hoop pressure is 5,000,000 Pascals.