Thickness Of Cylinder Given Bursting Force Due To Fluid Pressure Calculator

Formula Used:

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

Force (F):

Length Of Cylindrical Shell (L):

Diameter of Wire (G):

Stress in wire due to fluid pressure (σ):

Circumferential stress due to fluid pressure (σ):

Thickness Of Wire (t):

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

This calculation determines the required thickness of a cylindrical wire under fluid pressure conditions, considering the bursting force and various stress factors to ensure structural integrity.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( t \) — Thickness Of Wire (m)
\( F \) — Force (N)
\( L_{cylinder} \) — Length Of Cylindrical Shell (m)
\( G_{wire} \) — Diameter of Wire (m)
\( \sigma_{wire} \) — Stress in wire due to fluid pressure (Pa)
\( \sigma_c \) — Circumferential stress due to fluid pressure (Pa)
\( \pi \) — Archimedes' constant (≈3.1416)

Explanation: The formula calculates the required wire thickness by considering the force distribution, wire diameter, and stress components due to fluid pressure.

3. Importance of Thickness Calculation

Details: Accurate thickness calculation is crucial for designing pressure vessels and cylindrical structures to prevent failure under fluid pressure conditions, ensuring safety and reliability.

4. Using the Calculator

Tips: Enter all values in appropriate SI units (Newtons for force, meters for length/diameter/thickness, Pascals for stress). Ensure all values are positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the π/2 factor in the formula?
A: The π/2 factor accounts for the geometric relationship between wire diameter and the cylindrical surface area under pressure.

Q2: How does fluid pressure affect wire stress?
A: Fluid pressure creates both circumferential and longitudinal stresses in the wire, which must be considered for proper thickness calculation.

Q3: What are typical applications of this calculation?
A: This calculation is used in pressure vessel design, hydraulic systems, piping engineering, and any application involving cylindrical containers under internal fluid pressure.

Q4: Are there limitations to this formula?
A: The formula assumes uniform material properties, constant fluid pressure, and ideal cylindrical geometry. Real-world applications may require additional safety factors.

Q5: How does wire diameter affect the required thickness?
A: Larger wire diameters generally require greater thickness to withstand the same fluid pressure, as the stress distribution changes with diameter.