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The formula calculates the internal pressure in a cylindrical vessel based on the hoop stress, thickness of the cylindrical shell, and mean diameter of the shell. It is derived from the fundamental principles of thin-walled pressure vessel theory.
The calculator uses the formula:
Where:
Explanation: This formula relates the internal pressure to the circumferential (hoop) stress, which is the stress acting circumferentially in the wall of the cylindrical vessel.
Details: Accurate calculation of internal pressure is crucial for designing safe pressure vessels, determining appropriate wall thickness, and ensuring structural integrity under operating conditions.
Tips: Enter circumferential stress in Pascal, thickness in meters, and mean diameter in meters. All values must be positive and non-zero.
Q1: What is circumferential stress?
A: Circumferential stress (hoop stress) is the stress acting tangentially to the circumference of the cylindrical vessel, caused by internal pressure.
Q2: What are typical units for these measurements?
A: Stress is typically measured in Pascal (Pa), while thickness and diameter are measured in meters (m) in the SI system.
Q3: When is this formula applicable?
A: This formula is valid for thin-walled pressure vessels where the wall thickness is less than about one-tenth of the radius.
Q4: Are there limitations to this equation?
A: This formula assumes uniform stress distribution and may not be accurate for thick-walled vessels or vessels with significant end effects.
Q5: How does temperature affect the calculation?
A: Temperature can affect material properties and thermal expansion, which may need to be considered in precise engineering calculations.