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Total Weight of Vessel given Maximum Compressive Stress Calculator

Total Weight Formula:

\[ \Sigma W = (f_{concrete} - (\frac{M_s}{Z})) \times A \]

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1. What is Total Weight of Vessel given Maximum Compressive Stress?

Definition: This calculator determines the total weight a vessel can support based on concrete's maximum compressive stress, seismic moment, section modulus, and bearing area.

Purpose: It helps engineers ensure vessel foundations can withstand operational and seismic loads without exceeding concrete's compressive limits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Sigma W = (f_{concrete} - (\frac{M_s}{Z})) \times A \]

Where:

  • \( \Sigma W \) — Total weight of vessel (N)
  • \( f_{concrete} \) — Maximum compressive stress of concrete (%)
  • \( M_s \) — Maximum seismic moment (%)
  • \( Z \) — Section modulus of area A (%)
  • \( A \) — Area between bearing plate & foundation (%)

Explanation: The formula calculates the maximum weight by accounting for concrete's stress capacity minus seismic bending effects, applied over the bearing area.

3. Importance of This Calculation

Details: Proper calculation prevents foundation failure, ensures structural integrity during seismic events, and verifies design safety margins.

4. Using the Calculator

Tips: Enter all values as percentages. Typical values range ±5% of design specifications. All inputs must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why are all inputs in percentages?
A: Percentage inputs allow for easy adjustment of design margins and safety factors (±5% typical).

Q2: How is seismic moment determined?
A: Seismic moment is calculated based on site-specific seismic data and vessel dynamics, typically ±5% of design values.

Q3: What affects section modulus most?
A: Cross-sectional shape and dimensions, with ±5% variations common in manufacturing tolerances.

Q4: How precise is the bearing area measurement?
A: Actual contact area may vary ±5% due to surface imperfections and leveling tolerances.

Q5: Should I include a safety factor?
A: The ±5% input ranges inherently include some safety margin, but additional factors may be needed for critical applications.

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