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Maximum Bending Stress in Base Ring Plate Calculator

Maximum Bending Stress Formula:

\[ f_{max} = \frac{6 \times M_{max}}{b \times t_b^2} \]

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1. What is Maximum Bending Stress in Base Ring Plate?

Definition: This calculator determines the maximum bending stress in a base ring plate using the bending moment, circumferential length, and plate thickness.

Purpose: It helps engineers analyze the structural integrity of base ring plates in pressure vessels and other equipment.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_{max} = \frac{6 \times M_{max}}{b \times t_b^2} \]

Where:

  • \( f_{max} \) — Maximum bending stress (Pascals)
  • \( M_{max} \) — Maximum bending moment (Newton-meters)
  • \( b \) — Circumferential length of bearing plate (meters)
  • \( t_b \) — Thickness of base bearing plate (meters)

Explanation: The formula calculates the peak stress experienced by the plate under bending loads.

3. Importance of Bending Stress Calculation

Details: Proper stress analysis ensures structural safety, prevents material failure, and helps in optimizing plate thickness.

4. Using the Calculator

Tips: Enter the maximum bending moment, circumferential length, and plate thickness. All values must be > 0. The ±5% indicates the acceptable tolerance range.

5. Frequently Asked Questions (FAQ)

Q1: What affects the maximum bending moment?
A: The bending moment depends on the applied loads, support conditions, and geometry of the structure.

Q2: Why is circumferential length important?
A: It determines the distribution of the bending moment over the plate's surface.

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

Q4: What are typical material limits for bending stress?
A: Depends on material (e.g., 250 MPa for mild steel, 150 MPa for cast iron).

Q5: What does the ±5% tolerance mean?
A: It accounts for variations in material properties, manufacturing tolerances, and load uncertainties.

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