Hoop Tension In Pipe Shell Using Head Of Liquid Calculator

Hoop Tension Formula:

\[ f_{KN} = \frac{\gamma_{water} \times H_{liquid} \times R_{pipe}}{h_{curb}} \]

Unit Weight Of Water In KN Per Cubic Meter:

KN/m³

Head Of Liquid In Pipe:

Pipe Radius:

Curb Height:

Hoop Tension In Pipe Shell In KN/Square Meter:

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1. What Is Hoop Tension In Pipe Shell?

Hoop Tension in Pipe Shell in KN/Square Meter is the stress that occurs along the pipe's circumference when pressure is applied in KN/Square Meter. It represents the circumferential stress that develops in pipe walls due to internal fluid pressure.

2. How Does The Calculator Work?

The calculator uses the Hoop Tension formula:

\[ f_{KN} = \frac{\gamma_{water} \times H_{liquid} \times R_{pipe}}{h_{curb}} \]

Where:

\( f_{KN} \) — Hoop Tension in Pipe Shell (KN/m²)
\( \gamma_{water} \) — Unit Weight of Water (KN/m³)
\( H_{liquid} \) — Head of Liquid in Pipe (m)
\( R_{pipe} \) — Pipe Radius (m)
\( h_{curb} \) — Curb Height (m)

Explanation: The formula calculates the circumferential stress in a pipe shell by considering the water pressure (determined by unit weight and liquid head), pipe geometry, and curb height constraint.

3. Importance Of Hoop Tension Calculation

Details: Accurate hoop tension calculation is crucial for pipe design and structural integrity assessment. It helps determine appropriate pipe wall thickness and material selection to withstand internal pressures without failure.

4. Using The Calculator

Tips: Enter unit weight of water in KN/m³, head of liquid and pipe radius in meters, and curb height in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect hoop tension in pipes?
A: Hoop tension is primarily affected by internal fluid pressure, pipe diameter, wall thickness, and material properties. Higher pressures and larger diameters increase hoop tension.

Q2: How is hoop tension related to pipe failure?
A: Excessive hoop tension can lead to pipe bursting or circumferential failure. Proper calculation ensures pipes are designed to withstand expected internal pressures.

Q3: What are typical values for unit weight of water?
A: The unit weight of water is typically 9.81 KN/m³ at standard conditions, though it can vary slightly with temperature and impurities.

Q4: How does curb height affect hoop tension?
A: Curb height represents a vertical constraint that influences how the pressure is distributed and resisted in the pipe structure, affecting the resulting hoop tension.

Q5: Can this formula be used for all pipe materials?
A: While the basic pressure-stress relationship applies to all materials, different materials have different strength properties and safety factors that must be considered in actual design.