1. What Is Constant 'b' For Inner Cylinder?

Constant 'b' for inner cylinder is defined as the constant used in Lame's equation for thick-walled cylinders under internal pressure. It helps determine the stress distribution in cylindrical shells.

2. How Does The Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Constant 'b' for inner cylinder
• \( P_r \) — Radial pressure (Pa/m²)
• \( a \) — Constant 'a' for inner cylinder
• \( r \) — Radius of cylindrical shell (m)

Explanation: This formula calculates the constant 'b' based on radial pressure, constant 'a', and the radius of the cylindrical shell.

3. Importance Of Constant 'b' Calculation

Details: Accurate calculation of constant 'b' is crucial for stress analysis in thick-walled cylinders, pressure vessel design, and mechanical engineering applications involving cylindrical structures under pressure.

4. Using The Calculator

Tips: Enter radial pressure in Pa/m², constant 'a' value, and radius in meters. All values must be valid (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: How does constant 'b' relate to stress distribution?
A: Constant 'b' helps determine the radial and tangential stress components in thick-walled cylinders under pressure.

Q3: What units should be used for input values?
A: Radial pressure should be in Pa/m², constants are dimensionless, and radius should be in meters.

Q4: Can this calculator be used for thin-walled cylinders?
A: This formula is specifically designed for thick-walled cylinders where radial stress variation is significant.

Q5: What are typical applications of this calculation?
A: Pressure vessel design, piping systems, hydraulic cylinders, and any engineering application involving thick-walled cylindrical structures under pressure.