1. What is the Outer Radius Calculation?

The outer radius of a compound cylinder is calculated using Lame's constants for the outer cylinder. This formula determines the external radius based on the material constants that describe the cylinder's stress distribution characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_2 \) — Outer Radius of Cylinder (m)
• \( b_1 \) — Constant 'b' for outer cylinder
• \( a_1 \) — Constant 'a' for outer cylinder

Explanation: This formula uses the square root function to calculate the outer radius from the ratio of Lame's constants for the outer cylinder.

3. Importance of Outer Radius Calculation

Details: Accurate calculation of the outer radius is crucial for mechanical engineering applications, particularly in pressure vessel design, compound cylinder analysis, and stress distribution calculations in cylindrical structures.

4. Using the Calculator

Tips: Enter positive values for both constants. Constant 'a' must be greater than zero. The calculator will compute the outer radius in meters.

5. Frequently Asked Questions (FAQ)

Q1: What are Lame's constants?
A: Lame's constants are material parameters used in elasticity theory to describe the stress-strain relationship in cylindrical coordinates.

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

Q3: What units are used for the constants?
A: The constants are dimensionless parameters derived from the material properties and geometry of the cylinder.

Q4: Can this formula be used for single cylinders?
A: This particular formula is designed for compound cylinders where specific constants for the outer cylinder are provided.

Q5: What if I get an error during calculation?
A: Ensure that constant 'a' is positive and non-zero, and that constant 'b' is non-negative. The ratio b₁/a₁ must be non-negative for the square root to be real.