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Area using Minimum Stress Calculator

Area Calculation Formula:

\[ A = \frac{W_{min}}{(f_c + (\frac{M_s}{Z}))} \]

N
Pa
N·m
%

1. What is Area using Minimum Stress Calculator?

Definition: This calculator determines the required contact area between a bearing plate and concrete foundation based on minimum stress criteria.

Purpose: It helps engineers ensure proper load distribution and prevent excessive stress on concrete foundations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{W_{min}}{(f_c + (\frac{M_s}{Z}))} \]

Where:

  • \( A \) — Area between bearing plate and concrete foundation (m²)
  • \( W_{min} \) — Maximum weight of empty vessel (N)
  • \( f_c \) — Stress in bearing plate and concrete foundation (Pa)
  • \( M_s \) — Maximum seismic moment (N·m)
  • \( Z \) — Section modulus of area A (m²)

Explanation: The formula calculates the minimum required area to distribute the vessel weight and seismic moment without exceeding allowable stresses.

3. Importance of Area Calculation

Details: Proper area calculation prevents concrete crushing, ensures structural stability, and accounts for seismic forces.

4. Using the Calculator

Tips: Enter all required values in consistent units. The tolerance field (default ±5%) helps account for design uncertainties.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical tolerance used in these calculations?
A: A ±5% tolerance is common, but this may vary based on project requirements and safety factors.

Q2: How is maximum seismic moment determined?
A: It's calculated based on seismic zone factors, vessel characteristics, and response spectrum analysis.

Q3: What happens if the calculated area is too large?
A: This may require redesigning the foundation or using a larger bearing plate to distribute loads properly.

Q4: How does section modulus affect the calculation?
A: Higher section modulus reduces the bending stress component, resulting in smaller required area.

Q5: Can this calculator be used for non-seismic conditions?
A: Yes, simply set the seismic moment to zero for static load calculations.

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