Length Of Cylinder Given Bursting Force Due To Fluid Pressure Calculator

Formula Used:

\[ Length Of Cylindrical Shell = \frac{Force}{(2 \times Thickness Of Wire \times Circumferential stress due to fluid pressure) + (\frac{\pi}{2} \times Diameter of Wire \times Stress in wire due to fluid pressure)} \]

Force (F):

Newton

Thickness Of Wire (t):

Meter

Circumferential Stress Due To Fluid Pressure (σc):

Pascal

Diameter of Wire (Gwire):

Meter

Stress In Wire Due To Fluid Pressure (σw):

Pascal

Length Of Cylindrical Shell:

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1. What is Length Of Cylinder Given Bursting Force Due To Fluid Pressure?

The Length Of Cylinder Given Bursting Force Due To Fluid Pressure calculation determines the required length of a cylindrical shell to withstand a specific bursting force caused by internal fluid pressure, considering wire thickness, diameter, and material stresses.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

\( Force \) — Applied force in Newtons
\( Thickness Of Wire \) — Wire thickness in meters
\( Circumferential stress due to fluid pressure \) — Stress in Pascal
\( Diameter of Wire \) — Wire diameter in meters
\( Stress in wire due to fluid pressure \) — Wire stress in Pascal
\( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula calculates the required cylinder length by considering both the circumferential stress in the cylinder wall and the stress in the reinforcing wire, providing a comprehensive approach to pressure vessel design.

3. Importance of Cylinder Length Calculation

Details: Accurate calculation of cylinder length is crucial for designing pressure vessels, hydraulic systems, and containment structures to ensure they can safely withstand internal fluid pressures without failure.

4. Using the Calculator

Tips: Enter all values in appropriate units (Force in Newtons, dimensions in meters, stresses in Pascal). Ensure all values are positive and non-zero for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is bursting force in pressure vessels?
A: Bursting force is the internal pressure force that tends to rupture or burst a pressure vessel when it exceeds the vessel's strength capacity.

Q2: Why is wire reinforcement important in cylinders?
A: Wire reinforcement helps distribute stresses more evenly and increases the cylinder's ability to withstand internal pressures, preventing catastrophic failure.

Q3: What factors affect circumferential stress?
A: Circumferential stress is affected by internal pressure, cylinder diameter, wall thickness, and material properties of the cylinder.

Q4: When is this calculation typically used?
A: This calculation is used in mechanical engineering for designing pressure vessels, hydraulic cylinders, pipelines, and other cylindrical containers subjected to internal fluid pressure.

Q5: What safety factors should be considered?
A: Engineering designs typically include safety factors to account for material variations, unexpected pressure surges, and long-term degradation. Always consult relevant engineering standards and codes.