Length Of Cylinder Given Resisting Force Of Cylinder Along Longitudinal Section Calculator

Formula Used:

\[ L_{cylinder} = \frac{F}{\sigma_c \times 2 \times t} \]

Length Of Cylindrical Shell (L):

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1. What is Length Of Cylinder Given Resisting Force Of Cylinder Along Longitudinal Section?

This calculation determines the length of a cylindrical shell based on the applied force, circumferential stress due to fluid pressure, and wire thickness. It's essential in pressure vessel design and structural engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_{cylinder} = \frac{F}{\sigma_c \times 2 \times t} \]

Where:

\( L_{cylinder} \) — Length of cylindrical shell (Meter)
\( F \) — Applied force (Newton)
\( \sigma_c \) — Circumferential stress due to fluid pressure (Pascal)
\( t \) — Thickness of wire (Meter)

Explanation: This formula calculates the required length of a cylindrical shell to resist a given force while considering the material's stress capacity and thickness.

3. Importance of Cylinder Length Calculation

Details: Accurate length calculation is crucial for designing pressure vessels, piping systems, and cylindrical structures to ensure they can withstand internal pressures and external forces without failure.

4. Using the Calculator

Tips: Enter force in Newtons, circumferential stress in Pascals, and thickness in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is circumferential stress in a cylinder?
A: Circumferential stress (hoop stress) is the stress exerted circumferentially in both directions on particles of the cylinder wall when pressure is applied.

Q2: When is this calculation typically used?
A: This calculation is used in mechanical engineering, pressure vessel design, piping systems, and any application involving cylindrical structures under pressure.

Q3: What factors affect the length calculation?
A: The length is directly proportional to the applied force and inversely proportional to both the stress capacity and thickness of the material.

Q4: Are there limitations to this formula?
A: This formula assumes uniform stress distribution and may need adjustments for complex loading conditions or non-uniform material properties.

Q5: How does wire thickness affect the result?
A: Thicker wire reduces the required length for a given force, as it provides more material to distribute and resist the applied load.