Compressive Stress between Bearing Plate and Concrete Foundation Calculator

Maximum Compressive Stress Formula:

\[ f_{Compressive} = \frac{\Sigma W}{A} + \frac{M_s}{Z} \]

Total Weight of Vessel:

Area between Bearing Plate & Foundation:

m²

Maximum Seismic Moment:

N·m

Section Modulus of Area A:

m³

Tolerance:

Maximum Compressive Stress (Pa):

Acceptable Range (±5%):

1. What is Compressive Stress between Bearing Plate and Concrete Foundation?

Definition: This calculator determines the maximum compressive stress at the interface between a bearing plate and concrete foundation, considering both static weight and seismic moments.

Purpose: It helps engineers ensure the foundation can withstand the combined stresses from vessel weight and seismic activity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_{Compressive} = \frac{\Sigma W}{A} + \frac{M_s}{Z} \]

Where:

\( f_{Compressive} \) — Maximum compressive stress (Pascals)
\( \Sigma W \) — Total weight of vessel (Newtons)
\( A \) — Area between bearing plate and foundation (m²)
\( M_s \) — Maximum seismic moment (N·m)
\( Z \) — Section modulus of area A (m³)

Explanation: The stress is calculated as the sum of direct compressive stress (weight/area) and bending stress (moment/modulus).

3. Importance of Compressive Stress Calculation

Details: Proper calculation ensures structural integrity, prevents foundation failure, and meets safety standards for seismic conditions.

4. Using the Calculator

Tips: Enter all required values in consistent units. The tolerance field (default ±5%) helps determine acceptable stress ranges.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical tolerance percentage?
A: ±5% is common, but this may vary based on engineering standards and material specifications.

Q2: How do I determine the section modulus?
A: Section modulus depends on the shape and dimensions of the bearing plate. For rectangular plates, \( Z = \frac{bh^2}{6} \).

Q3: What if my stress exceeds the acceptable range?
A: Consider increasing the bearing area, reinforcing the foundation, or reducing seismic moments through design changes.

Q4: Does this include safety factors?
A: No, the calculated stress should be compared against allowable stresses that include appropriate safety factors.

Q5: How is seismic moment determined?
A: Seismic moment is typically calculated based on seismic codes considering vessel geometry, location, and seismic zone.