1. What is Radial Pressure?

Radial pressure is pressure towards or away from the central axis of a component. In the context of compound cylinders, it represents the pressure at the junction between inner and outer cylinders.

2. How Does the Calculator Work?

The calculator uses the radial pressure formula:

Where:

• \( P_v \) — Radial pressure (Pa/m²)
• \( b_1 \) — Constant 'b' for outer cylinder
• \( r^* \) — Radius at junction (m)
• \( a_1 \) — Constant 'a' for outer cylinder

Explanation: This formula calculates the radial pressure at the junction of compound cylinders using Lame's constants for the outer cylinder.

3. Importance of Radial Pressure Calculation

Details: Accurate calculation of radial pressure is crucial for designing compound cylinders, ensuring structural integrity, and preventing failure at the junction between cylinders.

4. Using the Calculator

Tips: Enter the constant 'b' for outer cylinder, radius at junction (must be greater than 0), and constant 'a' for outer cylinder. All values must be valid numerical values.

5. Frequently Asked Questions (FAQ)

Q1: What are Lame's constants?
A: Lame's constants (a and b) are parameters used in Lame's equations to describe stress distribution in thick-walled cylinders under pressure.

Q2: How is the radius at junction determined?
A: The radius at junction is the interface radius where the inner and outer cylinders meet in a compound cylinder assembly.

Q3: What units should be used for input values?
A: Radius should be in meters (m), while constants a and b are dimensionless but must be consistent with the pressure units used.

Q4: Can this formula be used for thin-walled cylinders?
A: No, this formula is specifically derived for thick-walled compound cylinders where radial stress distribution is significant.

Q5: What does a negative radial pressure indicate?
A: A negative radial pressure indicates compressive stress at the junction, which is common in properly designed compound cylinders.