Wall Thickness of Hollow Cylinder given Outer Curved Surface Area Calculator

Wall Thickness of Hollow Cylinder Formula:

\[ t_{wall} = \frac{CSA_{outer}}{2 \pi h} - r_{inner} \]

Outer Curved Surface Area of Hollow Cylinder:

m²

Height of Hollow Cylinder:

Inner Radius of Hollow Cylinder:

Wall Thickness of Hollow Cylinder:

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1. What is Wall Thickness of Hollow Cylinder?

The Wall Thickness of a Hollow Cylinder refers to the measure of the distance between the inner and outer surfaces of the Hollow Cylinder. It is a critical parameter in engineering and manufacturing that determines the structural integrity and strength of cylindrical components.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_{wall} = \frac{CSA_{outer}}{2 \pi h} - r_{inner} \]

Where:

\( t_{wall} \) — Wall Thickness of Hollow Cylinder (m)
\( CSA_{outer} \) — Outer Curved Surface Area of Hollow Cylinder (m²)
\( \pi \) — Archimedes' constant (approximately 3.14159)
\( h \) — Height of Hollow Cylinder (m)
\( r_{inner} \) — Inner Radius of Hollow Cylinder (m)

Explanation: The formula calculates the wall thickness by first determining the outer radius from the curved surface area and then subtracting the inner radius.

3. Importance of Wall Thickness Calculation

Details: Accurate wall thickness calculation is crucial for structural design, pressure vessel manufacturing, piping systems, and mechanical engineering applications where the strength and durability of hollow cylindrical components are critical.

4. Using the Calculator

Tips: Enter outer curved surface area in m², height in meters, and inner radius in meters. All values must be positive numbers with appropriate units.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between wall thickness and inner radius?
A: Wall thickness is the distance between inner and outer surfaces, while inner radius is the distance from center to inner surface.

Q2: Can this formula be used for any hollow cylinder?
A: Yes, this formula applies to all right circular hollow cylinders with uniform wall thickness.

Q3: What units should I use for input values?
A: The calculator uses meters for length units and square meters for area units. Convert your measurements accordingly.

Q4: What if I get a negative wall thickness result?
A: A negative result indicates that the inner radius is larger than what would be possible given the outer surface area, suggesting invalid input values.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect hollow cylinders with uniform wall thickness and circular cross-sections.