1. What is Original Circumference?

Original Circumference is defined as the original perimeter of a cylindrical vessel before any deformation occurs. It is a fundamental parameter in thin shell mechanics and pressure vessel design.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C \) — Original Circumference (m)
• \( \delta C \) — Change in circumference (m)
• \( e_1 \) — Circumferential strain thin shell (-)

Explanation: This formula calculates the original circumference of a thin cylindrical vessel by dividing the change in circumference by the circumferential strain.

3. Importance of Original Circumference Calculation

Details: Accurate calculation of original circumference is crucial for determining material properties, analyzing structural integrity, and designing pressure vessels and piping systems in engineering applications.

4. Using the Calculator

Tips: Enter change in circumference in meters and circumferential strain (dimensionless). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is circumferential strain?
A: Circumferential strain is the ratio of the change in circumference to the original circumference of a cylindrical vessel.

Q2: When is this formula applicable?
A: This formula is applicable for thin-walled cylindrical vessels under uniform internal or external pressure where the strain is small and elastic.

Q3: What are typical units for these measurements?
A: Circumference and change in circumference are typically measured in meters, while strain is dimensionless.

Q4: Can this formula be used for thick-walled cylinders?
A: No, this formula is specifically derived for thin-walled cylindrical vessels where the wall thickness is small compared to the radius.

Q5: What factors affect circumferential strain?
A: Circumferential strain is affected by internal pressure, material properties (Young's modulus and Poisson's ratio), and geometric dimensions of the vessel.