1. What Is The Force Due To Circumferential Stress?

The force due to circumferential stress in a thin cylindrical vessel represents the total force acting along the circumference of the vessel. This force is crucial in pressure vessel design and structural analysis.

2. How Does The Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: This formula calculates the total force resulting from the circumferential (hoop) stress in a thin-walled cylindrical pressure vessel.

3. Importance Of Force Calculation

Details: Calculating this force is essential for designing pressure vessels, piping systems, and other cylindrical structures to ensure they can withstand internal pressures without failure.

4. Using The Calculator

Tips: Enter hoop stress in Pascals, length in meters, and thickness in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is hoop stress?
A: Hoop stress is the circumferential stress in a cylinder that tends to increase the diameter when internal pressure is applied.

Q2: When is this formula applicable?
A: This formula is valid for thin-walled cylindrical vessels where the wall thickness is much smaller than the radius (typically t < D/20).

Q3: What units should be used?
A: Use consistent SI units: Pascals for stress, meters for length and thickness, and Newtons for force.

Q4: How does length affect the force?
A: The force is directly proportional to the length of the cylindrical section - doubling the length doubles the force.

Q5: What are typical applications?
A: This calculation is used in designing pressure vessels, pipelines, storage tanks, and other cylindrical pressure-containing structures.