1. What is Constant 'b' for Outer Cylinder?

Constant 'b' for outer cylinder is defined as the constant used in Lame's equation for compound cylinders. It helps in determining the stress distribution in thick-walled cylinders under pressure.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Constant 'b' for outer cylinder
• \( P_v \) — Radial pressure (Pascal per Square Meter)
• \( a \) — Constant 'a' for outer cylinder
• \( r \) — Radius at junction (Meter)

Explanation: This formula calculates the constant 'b' based on the radial pressure, constant 'a', and the radius at the junction of compound cylinders.

3. Importance of Constant 'b' Calculation

Details: Accurate calculation of constant 'b' is crucial for proper stress analysis in compound cylinders, ensuring structural integrity and safety in engineering applications.

4. Using the Calculator

Tips: Enter radial pressure in Pascal per Square Meter, constant 'a', and radius at junction in meters. All values must be valid (non-negative, radius > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is Lame's equation used for?
A: Lame's equation is used to calculate stresses in thick-walled cylinders subjected to internal and external pressures.

Q2: Why is constant 'b' important in cylinder design?
A: Constant 'b' helps determine the stress distribution pattern, which is essential for designing cylinders that can withstand operational pressures.

Q3: What units should be used for inputs?
A: Radial pressure should be in Pascal per Square Meter, constants are dimensionless, and radius should be in meters.

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

Q5: What if the radius at junction is zero?
A: Radius cannot be zero as it would make the calculation undefined. Please enter a positive value for radius.