Outer Radius of Cut Cylindrical Shell given Short Inner Height Calculator

Formula Used:

\[ Outer Radius of Cut Cylindrical Shell = \frac{Wall Thickness of Cut Cylindrical Shell \times (Long Outer Height of Cut Cylindrical Shell - Short Outer Height of Cut Cylindrical Shell)}{2 \times (Short Inner Height of Cut Cylindrical Shell - Short Outer Height of Cut Cylindrical Shell)} \]

Wall Thickness of Cut Cylindrical Shell:

Long Outer Height of Cut Cylindrical Shell:

Short Outer Height of Cut Cylindrical Shell:

Short Inner Height of Cut Cylindrical Shell:

Outer Radius of Cut Cylindrical Shell:

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1. What is Outer Radius of Cut Cylindrical Shell?

Outer Radius of Cut Cylindrical Shell is the distance between center and any point on the circumference of the bottom circular face in the outer cut cylinder of the Cut Cylindrical Shell. It is a crucial parameter in determining the geometry and volume of cylindrical shell structures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Outer Radius = \frac{Wall Thickness \times (Long Outer Height - Short Outer Height)}{2 \times (Short Inner Height - Short Outer Height)} \]

Where:

Wall Thickness — Thickness of the cylindrical shell wall (m)
Long Outer Height — Longest vertical distance of outer cylinder (m)
Short Outer Height — Shortest vertical distance of outer cylinder (m)
Short Inner Height — Shortest vertical distance of inner cylinder (m)

Explanation: This formula calculates the outer radius based on the geometric relationships between the wall thickness and height differences of the cut cylindrical shell.

3. Importance of Outer Radius Calculation

Details: Accurate calculation of outer radius is essential for engineering applications involving cylindrical shells, including structural design, fluid storage systems, and mechanical components where precise dimensions are critical for functionality and safety.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure that Short Inner Height is greater than Short Outer Height to avoid division by zero. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input values?
A: All input values should be in meters (m) for consistent results.

Q2: Why is Short Inner Height must be greater than Short Outer Height?
A: The formula requires that Short Inner Height > Short Outer Height to avoid division by zero and maintain geometric validity of the cylindrical shell structure.

Q3: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places precision.

Q4: What if I get a negative result?
A: A negative result indicates invalid input values where the geometric constraints of a cylindrical shell are not satisfied.

Q5: Is this formula applicable to all types of cylindrical shells?
A: This specific formula is designed for cut cylindrical shells with the geometric relationships described. Other cylindrical shell types may require different formulas.