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Pipe Stress Calculation Example

Pipe Stress Equation:

\[ Stress = \frac{P \times D}{2 \times t} \]

psi
inches
inches

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1. What is Pipe Stress Calculation?

The pipe stress calculation determines the hoop stress in a cylindrical pipe or vessel under internal pressure. It's a fundamental engineering calculation used in piping system design and pressure vessel applications.

2. How Does the Calculator Work?

The calculator uses the thin-wall pipe stress equation:

\[ Stress = \frac{P \times D}{2 \times t} \]

Where:

Example: For P = 1000 psi, D = 10 inches, t = 0.5 inches:
Stress = (1000 × 10) / (2 × 0.5) = 10000 psi

3. Importance of Pipe Stress Calculation

Details: Proper stress calculation ensures piping systems can withstand operating pressures without failure. It's essential for safety, regulatory compliance, and system reliability.

4. Using the Calculator

Tips: Enter pressure in psi, diameter and thickness in inches. All values must be positive numbers. The calculator assumes thin-wall theory (D/t > 10).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between thin-wall and thick-wall theory?
A: Thin-wall theory (D/t > 10) simplifies calculations. Thick-wall pipes require more complex Lame's equations.

Q2: What are typical allowable stress values?
A: Varies by material. Common carbon steel might allow 15,000-20,000 psi depending on temperature and code.

Q3: Does this account for external loads or bending?
A: No, this is only for internal pressure hoop stress. Comprehensive analysis requires considering all loads.

Q4: What safety factor should be used?
A: Depends on application and codes. Typical factors range from 3-10 for pressure vessels.

Q5: How does temperature affect pipe stress?
A: High temperatures reduce material strength and add thermal expansion stresses, which aren't accounted for here.

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