1. What is the Outer Radius of Cylinder Formula?

The Outer Radius of Cylinder formula calculates the outer radius of a compound cylinder using constants A and B from Lame's equation for a single thick shell under internal fluid pressure.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Constant\ B\ for\ Single\ Thick\ Shell \) — Constant used in Lame's equation for internal fluid pressure
• \( Constant\ A\ for\ single\ thick\ shell \) — Constant used in Lame's equation for internal fluid pressure

Explanation: This formula calculates the outer radius of a compound cylinder by taking the square root of the ratio between constant B and constant A from Lame's equation.

3. Importance of Outer Radius Calculation

Details: Calculating the outer radius is crucial for designing compound cylinders, determining stress distribution, and ensuring structural integrity under internal pressure conditions.

4. Using the Calculator

Tips: Enter positive values for both constants A and B. The calculator will compute the outer radius in meters.

5. Frequently Asked Questions (FAQ)

Q1: What are constants A and B in Lame's equation?
A: Constants A and B are integration constants derived from boundary conditions in Lame's theory for thick-walled cylinders under pressure.

Q2: When is this formula applicable?
A: This formula is specifically used for compound cylinders where the outer radius needs to be determined from known constants in Lame's equation.

Q3: What units should be used for the constants?
A: The constants should be in consistent units (typically Pa or N/m² for pressure-related constants) to get the radius in meters.

Q4: Can this formula be used for thin-walled cylinders?
A: No, this formula is specifically derived for thick-walled cylinders using Lame's theory.

Q5: What if constant A is zero?
A: Constant A cannot be zero as it would result in division by zero, which is mathematically undefined.