1. What is the Inner Diameter Calculation?

The inner diameter calculation determines the internal diameter of a cylindrical vessel based on the resisting force, longitudinal stress, and shell thickness. This is essential for designing pressure vessels and understanding their structural integrity.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D_i \) — Inner diameter of cylinder (m)
• \( F \) — Force on cylindrical shell (N)
• \( \sigma_l \) — Longitudinal stress (Pa)
• \( \pi \) — Archimedes' constant (≈3.14159)
• \( t \) — Thickness of thin shell (m)

Explanation: This formula calculates the internal diameter by considering the balance between the applied force and the material's resistance to stress.

3. Importance of Inner Diameter Calculation

Details: Accurate calculation of inner diameter is crucial for pressure vessel design, ensuring structural integrity, and determining the vessel's capacity to withstand internal pressures.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is longitudinal stress?
A: Longitudinal stress is the stress developed along the length of a cylindrical vessel when subjected to internal pressure.

Q2: Why is π used in the formula?
A: π is used because the calculation involves circular geometry of the cylindrical vessel.

Q3: What units should be used for input values?
A: Force in newtons (N), stress in pascals (Pa), and thickness in meters (m) for consistent SI units.

Q4: Can this formula be used for thick-walled cylinders?
A: This formula is specifically designed for thin-walled cylindrical vessels where the thickness is small compared to the diameter.

Q5: What are typical applications of this calculation?
A: This calculation is used in pressure vessel design, piping systems, and storage tank engineering.