Wall Thickness of Cylindrical Shell Given Volume and Inner Radius Calculator

Formula Used:

\[ t_{Wall} = \sqrt{\frac{V}{\pi \cdot h} + r_{Inner}^2} - r_{Inner} \]

Volume of Cylindrical Shell:

m³

Height of Cylindrical Shell:

Inner Radius of Cylindrical Shell:

Wall Thickness of Cylindrical Shell:

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1. What is Wall Thickness of Cylindrical Shell?

The wall thickness of a cylindrical shell is the shortest distance between the lateral curved surfaces of the inner and outer cylinders of the cylindrical shell. It represents the thickness of the material that forms the cylindrical structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_{Wall} = \sqrt{\frac{V}{\pi \cdot h} + r_{Inner}^2} - r_{Inner} \]

Where:

\( t_{Wall} \) — Wall thickness of cylindrical shell (m)
\( V \) — Volume of cylindrical shell (m³)
\( \pi \) — Mathematical constant pi (≈3.14159)
\( h \) — Height of cylindrical shell (m)
\( r_{Inner} \) — Inner radius of cylindrical shell (m)

Explanation: This formula calculates the wall thickness by considering the volume, height, and inner radius of the cylindrical shell, using the mathematical relationship between these parameters.

3. Importance of Wall Thickness Calculation

Details: Calculating wall thickness is crucial for structural integrity analysis, pressure vessel design, piping systems, and ensuring mechanical strength in cylindrical structures. Proper wall thickness ensures the cylinder can withstand internal and external pressures.

4. Using the Calculator

Tips: Enter volume in cubic meters, height in meters, and inner radius in meters. All values must be positive (volume > 0, height > 0, inner radius ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of wall thickness in cylindrical shells?
A: Wall thickness determines the structural strength, pressure resistance, and load-bearing capacity of cylindrical shells in various engineering applications.

Q2: Can this formula be used for thin-walled cylinders?
A: Yes, this formula is applicable for both thin-walled and thick-walled cylindrical shells when the volume, height, and inner radius are known.

Q3: What are the units used in this calculation?
A: The calculation uses meters for all linear dimensions (height, inner radius, wall thickness) and cubic meters for volume.

Q4: How does wall thickness affect the volume of a cylindrical shell?
A: Wall thickness directly affects the outer radius and consequently the total volume of the cylindrical shell for a given inner radius and height.

Q5: What are practical applications of this calculation?
A: This calculation is used in pressure vessel design, piping systems, storage tanks, structural engineering, and mechanical design where cylindrical shells are employed.