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Axial Bending Stress in Vessel Wall for Unit Width Calculator

Axial Bending Stress Formula:

\[ f_a = \frac{6 \times M \times a}{t^2} \]

N·m
m
m

1. What is Axial Bending Stress in Vessel Wall?

Definition: Axial bending stress refers to the stress generated in a pipe or pressure vessel when subjected to both axial force and bending moment simultaneously.

Purpose: This calculation is crucial for designing pressure vessels and piping systems to ensure structural integrity under combined loading conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_a = \frac{6 \times M \times a}{t^2} \]

Where:

  • \( f_a \) — Axial bending stress (Pascals)
  • \( M \) — Axial bending moment (Newton-meters)
  • \( a \) — Effective width of horizontal plate (meters)
  • \( t \) — Vessel shell thickness (meters)

Explanation: The formula calculates the stress distribution across the vessel wall thickness due to combined axial and bending loads.

3. Importance of Axial Bending Stress Calculation

Details: Proper calculation ensures vessel safety, prevents structural failure, and helps in material selection and thickness determination.

4. Using the Calculator

Tips: Enter the axial bending moment, effective width, and vessel shell thickness. All values must be > 0. The ±5% indicates typical tolerance in measurements.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for inputs?
A: Use consistent SI units: N·m for moment, meters for width and thickness. Results are in Pascals.

Q2: Why is the effective width important?
A: It determines the portion of the vessel wall that effectively resists the bending moment.

Q3: How does shell thickness affect the stress?
A: Stress is inversely proportional to the square of thickness - doubling thickness reduces stress by 4 times.

Q4: What's the significance of ±5% tolerance?
A: This accounts for typical measurement uncertainties in field conditions.

Q5: When would this calculation be needed?
A: During vessel design, safety assessments, or when evaluating existing vessels under new loading conditions.

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