Circumferential Stress In Cylinder Due To Fluid Given Bursting Force Due To Fluid Pressure Calculator

Formula Used:

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

Force (F):

Length of Wire (L):

Diameter of Wire (G_wire):

Stress in Wire Due to Fluid Pressure (σ_wf):

Thickness of Wire (t):

Circumferential Stress Due to Fluid Pressure (σ_c):

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1. What is Circumferential Stress Due to Fluid Pressure?

Circumferential stress due to fluid pressure is a kind of tensile stress exerted on a cylinder due to fluid pressure. It represents the stress acting along the circumference of the cylinder when subjected to internal fluid pressure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( \sigma_c \) — Circumferential stress due to fluid pressure (Pa)
\( F \) — Force (N)
\( L \) — Length of wire (m)
\( G_{wire} \) — Diameter of wire (m)
\( \sigma_{wf} \) — Stress in wire due to fluid pressure (Pa)
\( t \) — Thickness of wire (m)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula calculates the circumferential stress in a cylinder by considering the bursting force due to fluid pressure, accounting for the wire's properties and dimensions.

3. Importance of Circumferential Stress Calculation

Details: Accurate calculation of circumferential stress is crucial for designing pressure vessels, pipelines, and other cylindrical structures to ensure they can withstand internal fluid pressure without failure.

4. Using the Calculator

Tips: Enter all values in appropriate units (Force in Newtons, Length/Diameter/Thickness in meters, Stress in Pascals). All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is circumferential stress?
A: Circumferential stress (hoop stress) is the stress acting along the circumference of a cylindrical object when subjected to internal pressure.

Q2: Why is this calculation important?
A: It helps engineers design safe pressure vessels and piping systems that can withstand internal fluid pressures without rupturing.

Q3: What units should be used?
A: Use consistent SI units: Newtons for force, meters for length/diameter/thickness, and Pascals for stress.

Q4: Can this formula be used for any material?
A: The formula is generally applicable to cylindrical structures, but material properties should be considered for accurate stress analysis.

Q5: What if I get a negative result?
A: A negative result may indicate compressive stress rather than tensile stress, or it could suggest an error in input values. Verify all inputs are correct.