Thickness Of Vessel Given Hoop Stress Calculator

Formula Used:

\[ t = \frac{P_i \times D_i}{2 \times \sigma_\theta} \]

Thickness Of Thin Shell (t):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Thickness Of Vessel Given Hoop Stress Formula?

The thickness of vessel given hoop stress formula calculates the required thickness of a thin-walled cylindrical vessel based on internal pressure, inner diameter, and allowable hoop stress. This is essential for pressure vessel design and safety analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = \frac{P_i \times D_i}{2 \times \sigma_\theta} \]

Where:

\( t \) — Thickness of thin shell (m)
\( P_i \) — Internal pressure (Pa)
\( D_i \) — Inner diameter of cylinder (m)
\( \sigma_\theta \) — Hoop stress (Pa)

Explanation: This formula derives from the basic hoop stress equation for thin-walled pressure vessels, where the thickness is solved for given the other parameters.

3. Importance of Thickness Calculation

Details: Accurate thickness calculation is crucial for pressure vessel design to ensure structural integrity, prevent failure under internal pressure, and meet safety standards in various engineering applications.

4. Using the Calculator

Tips: Enter internal pressure in Pascals, inner diameter in meters, and hoop stress in Pascals. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is hoop stress?
A: Hoop stress is the circumferential stress in a cylindrical pressure vessel caused by internal pressure acting on the vessel walls.

Q2: When is this formula applicable?
A: This formula is valid for thin-walled pressure vessels where the thickness is less than about 1/10 of the radius.

Q3: What are typical units used in this calculation?
A: While SI units (Pa, m) are used here, other unit systems can be used as long as they are consistent throughout the calculation.

Q4: How does temperature affect the calculation?
A: Temperature can affect material properties and thus the allowable hoop stress. The formula itself doesn't account for temperature effects directly.

Q5: What safety factors should be considered?
A: Engineering design typically includes safety factors applied to the calculated thickness to account for material variations, manufacturing tolerances, and unexpected load conditions.