Diameter Of Pipe Given Compressive End Fiber Stress Calculator

Formula Used:

\[ D_{pipe} = \left(S - \frac{w'}{2 \cdot t_{pipe}}\right) \cdot \left(\frac{8 \cdot t_{pipe}^2}{3 \cdot w'}\right) \]

Extreme Fiber Stress (S):

Load on Buried Pipe per Unit Length (w'):

N/m

Thickness of Pipe (t_pipe):

Diameter of Pipe (D_pipe):

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1. What is the Diameter of Pipe Calculation?

This calculator determines the diameter of a pipe based on extreme fiber stress, load on buried pipe per unit length, and pipe thickness. It's essential for structural engineering and pipeline design to ensure proper load distribution and material strength.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_{pipe} = \left(S - \frac{w'}{2 \cdot t_{pipe}}\right) \cdot \left(\frac{8 \cdot t_{pipe}^2}{3 \cdot w'}\right) \]

Where:

\( D_{pipe} \) — Diameter of Pipe (m)
\( S \) — Extreme Fiber Stress (Pa)
\( w' \) — Load on Buried Pipe per Unit Length (N/m)
\( t_{pipe} \) — Thickness of Pipe (m)

Explanation: This formula calculates the required pipe diameter based on the stress distribution and loading conditions to ensure structural integrity.

3. Importance of Pipe Diameter Calculation

Details: Accurate pipe diameter calculation is crucial for proper fluid transport, structural stability, and ensuring the pipe can withstand external loads without failure.

4. Using the Calculator

Tips: Enter extreme fiber stress in Pascals, load per unit length in Newtons per meter, and pipe thickness in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is extreme fiber stress?
A: Extreme fiber stress is the maximum stress experienced by the outermost fibers of a pipe when subjected to external loads and internal pressure.

Q2: Why is load per unit length important?
A: Load per unit length accounts for the distributed weight and external forces acting on the pipe, which directly affects the stress distribution and required diameter.

Q3: How does pipe thickness affect the diameter calculation?
A: Thicker pipes generally require smaller diameters to withstand the same stress levels, as thickness contributes to the pipe's structural strength.

Q4: What units should be used for input values?
A: Use Pascals for stress, Newtons per meter for load, and meters for both thickness and diameter to maintain consistency in SI units.

Q5: When is this calculation particularly important?
A: This calculation is critical for buried pipelines, structural piping systems, and applications where pipes are subjected to significant external loads or pressure.