Water Tank Hoop Pressure Calculator

Hoop Pressure Formula:

\[ P = \frac{\sigma \times t}{r} \]

Hoop Pressure (P): Pa

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1. What is a Water Tank Hoop Pressure Calculator?

Definition: This calculator determines the internal pressure a cylindrical tank can withstand based on material stress, wall thickness, and radius.

Purpose: It helps engineers and designers verify tank structural integrity and safety margins.

2. How Does the Calculator Work?

The calculator uses the hoop stress formula:

\[ P = \frac{\sigma \times t}{r} \]

Where:

\( P \) — Hoop pressure (Pascals)
\( \sigma \) — Hoop stress (Pascals)
\( t \) — Wall thickness (meters)
\( r \) — Radius (meters)

Explanation: The formula calculates the internal pressure that creates a given stress in the tank walls based on its geometry.

3. Importance of Hoop Pressure Calculation

Details: Proper pressure calculation ensures tanks can safely contain liquids without structural failure or excessive deformation.

4. Using the Calculator

Tips: Enter the material hoop stress, wall thickness, and tank radius. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is hoop stress?
A: The stress acting circumferentially in a cylindrical wall when pressurized.

Q2: What units should I use?
A: Use consistent SI units - Pascals for stress/pressure, meters for dimensions.

Q3: Does this account for safety factors?
A: No, apply appropriate safety factors to the calculated pressure for design.

Q4: Is this valid for all materials?
A: Yes, as long as the material behaves elastically at the calculated stress.

Q5: What about end effects?
A: This formula is for cylindrical sections only - end caps require separate analysis.