1. What Is Hoop Stress?

Hoop Stress is the circumferential stress in a cylinder that results from internal or external pressure. It is a critical parameter in pressure vessel design and analysis.

2. How Does The Calculator Work?

The calculator uses the hoop stress formula:

Where:

• \( \sigma_\theta \) — Hoop Stress (Pa)
• \( F \) — Force on cylindrical shell (N)
• \( L_{\text{cylinder}} \) — Length of cylindrical shell (m)
• \( t \) — Thickness of thin shell (m)

Explanation: This formula calculates the circumferential stress in a thin-walled cylindrical vessel based on the applied force, length, and thickness.

3. Importance Of Hoop Stress Calculation

Details: Accurate hoop stress calculation is crucial for pressure vessel design, structural integrity assessment, and ensuring safe operation under internal or external pressure conditions.

4. Using The Calculator

Tips: Enter force in newtons (N), length in meters (m), and thickness in meters (m). All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between hoop stress and longitudinal stress?
A: Hoop stress acts circumferentially around the cylinder, while longitudinal stress acts along the length of the cylinder.

Q2: When is this formula applicable?
A: This formula is valid for thin-walled cylindrical vessels where the wall thickness is small compared to the diameter (typically t < D/20).

Q3: What are typical units for hoop stress?
A: Hoop stress is typically measured in pascals (Pa) or megapascals (MPa) in the SI system.

Q4: How does hoop stress relate to pressure in a cylinder?
A: For internal pressure P in a thin-walled cylinder, hoop stress can also be calculated as σ_θ = P×D/(2t), where D is the diameter.

Q5: What factors affect hoop stress in cylindrical vessels?
A: Hoop stress is influenced by internal pressure, vessel dimensions (diameter and length), wall thickness, and material properties.