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The change in diameter of a thin cylindrical vessel represents the difference between the initial and final diameter when subjected to circumferential strain. This calculation is important in engineering applications involving pressure vessels and piping systems.
The calculator uses the formula:
Where:
Explanation: The formula calculates the change in diameter by multiplying the circumferential strain by the original diameter of the cylindrical vessel.
Details: Calculating diameter changes in cylindrical vessels is crucial for structural integrity analysis, pressure vessel design, and ensuring safe operation of piping systems under various loading conditions.
Tips: Enter circumferential strain (unitless) and original diameter in meters. Both values must be positive numbers greater than zero.
Q1: What is circumferential strain?
A: Circumferential strain is the deformation per unit length in the circumferential direction of a cylindrical vessel when subjected to internal or external pressure.
Q2: When is this calculation typically used?
A: This calculation is commonly used in mechanical engineering, civil engineering, and pressure vessel design to determine dimensional changes under load.
Q3: What are typical units for this calculation?
A: Strain is unitless, while diameter and change in diameter are typically measured in meters (m) or millimeters (mm).
Q4: Are there limitations to this formula?
A: This formula applies to thin-walled cylindrical vessels where wall thickness is small compared to diameter, and assumes linear elastic material behavior.
Q5: How does temperature affect the calculation?
A: Temperature changes can cause thermal expansion, which should be considered separately from strain-induced diameter changes.