1. What is Radius X For Single Thick Shell?

The Radius X For Single Thick Shell calculation determines the radial distance in a cylindrical shell under internal fluid pressure using Lame's equation constants and hoop stress values.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Constant\ B\ for\ Single\ Thick\ Shell \) — Constant used in Lame's equation
• \( Hoop\ Stress\ on\ thick\ shell \) — Circumferential stress in the cylinder (Pascal)
• \( Constant\ A\ for\ single\ thick\ shell \) — Constant used in Lame's equation

Explanation: This formula calculates the radius at which the hoop stress equals the specified value for a given set of Lame's constants.

3. Importance of Radius Calculation

Details: Accurate radius calculation is crucial for pressure vessel design, stress analysis, and ensuring structural integrity under internal fluid pressure conditions.

4. Using the Calculator

Tips: Enter valid positive values for all constants. Ensure Hoop Stress is greater than Constant A to avoid mathematical errors in the square root calculation.

5. Frequently Asked Questions (FAQ)

Q1: What are Lame's constants?
A: Lame's constants (A and B) are parameters used in the thick-walled cylinder theory to describe stress distribution under internal pressure.

Q2: When is this calculation applicable?
A: This calculation is specifically for single thick-walled cylindrical shells subjected to internal fluid pressure only.

Q3: What units should be used?
A: Use consistent units - typically meters for radius and Pascals for stress. The constants should be in appropriate consistent units.

Q4: What if Hoop Stress equals Constant A?
A: The denominator becomes zero, making the calculation undefined. Ensure Hoop Stress is greater than Constant A.

Q5: Can this be used for composite shells?
A: No, this formula is specifically designed for single thick shells. Composite shells require different calculations.