Diameter Of Wire Given Bursting Force Due To Fluid Pressure Calculator

Formula Used:

\[ G_{wire} = \frac{\left(\frac{F}{L}\right) - (2 \times t \times \sigma_c)}{\left(\frac{\pi}{2}\right) \times \sigma_{wire}} \]

Force (F):

Newton

Length Of Wire (L):

Meter

Thickness Of Wire (t):

Meter

Circumferential Stress Due To Fluid Pressure (σc):

Pascal

Stress In Wire Due To Fluid Pressure (σwire):

Pascal

Diameter Of Wire (Gwire):

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1. What Is The Diameter Of Wire Given Bursting Force Due To Fluid Pressure?

This calculation determines the required diameter of wire needed to withstand bursting forces caused by fluid pressure in cylindrical containers or piping systems, ensuring structural integrity under pressure.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ G_{wire} = \frac{\left(\frac{F}{L}\right) - (2 \times t \times \sigma_c)}{\left(\frac{\pi}{2}\right) \times \sigma_{wire}} \]

Where:

\( G_{wire} \) — Diameter of wire (Meter)
\( F \) — Force (Newton)
\( L \) — Length of wire (Meter)
\( t \) — Thickness of wire (Meter)
\( \sigma_c \) — Circumferential stress due to fluid pressure (Pascal)
\( \sigma_{wire} \) — Stress in wire due to fluid pressure (Pascal)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: The formula calculates the minimum wire diameter required to resist the bursting force caused by internal fluid pressure, considering material stresses and geometric properties.

3. Importance Of Diameter Calculation

Details: Accurate wire diameter calculation is crucial for designing pressure vessels, hydraulic systems, and piping networks to prevent catastrophic failures and ensure operational safety under fluid pressure conditions.

4. Using The Calculator

Tips: Enter all values in appropriate SI units. Ensure force, length, thickness, and stress values are positive numbers. The calculator will compute the required wire diameter to withstand the specified bursting force.

5. Frequently Asked Questions (FAQ)

Q1: What types of applications require this calculation?
A: Pressure vessels, hydraulic cylinders, piping systems, and any cylindrical container subjected to internal fluid pressure.

Q2: How does wire diameter affect pressure resistance?
A: Larger diameter wires provide greater resistance to bursting forces as they distribute stress more effectively across the material.

Q3: What safety factors should be considered?
A: Engineering designs typically include safety factors of 1.5-4.0 depending on the application and regulatory requirements.

Q4: Can this formula be used for non-cylindrical containers?
A: This specific formula is designed for cylindrical pressure vessels. Other shapes require different calculation methods.

Q5: What material properties affect the calculation?
A: The tensile strength, yield strength, and elastic modulus of the wire material significantly impact the required diameter calculation.