1. What is a Spherical Pressure Calculator?

Definition: This calculator determines the internal pressure a spherical vessel can withstand based on material properties and dimensions.

Purpose: It helps engineers design pressure vessels, tanks, and other spherical containers to ensure safe operation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula calculates the maximum internal pressure a thin-walled sphere can withstand before failing.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations are critical for safety in industries like chemical processing, aerospace, and energy production.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is hoop stress?
A: Hoop stress is the circumferential stress in a cylindrical or spherical object subjected to internal pressure.

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

Q3: Is this for thin-walled spheres only?
A: Yes, this formula is accurate when wall thickness is ≤ 10% of the radius.

Q4: How do I find hoop stress values?
A: Consult material specifications or mechanical property tables for your material.

Q5: Does this include safety factors?
A: No, apply appropriate safety factors based on your industry standards.