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Width of Footing given Round Footing and Bearing Capacity Calculator

Width of Footing Formula:

\[ B_{round} = \frac{q_f - ((1.3 \times C \times N_c) + (\sigma' \times N_q))}{0.5 \times N_\gamma \times \gamma \times 0.6} \]

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1. What is Width of Footing given Round Footing and Bearing Capacity?

Definition: This calculator determines the required width of a round footing based on soil bearing capacity parameters.

Purpose: It helps civil engineers design appropriate foundation dimensions to ensure structural stability.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ B_{round} = \frac{q_f - ((1.3 \times C \times N_c) + (\sigma' \times N_q))}{0.5 \times N_\gamma \times \gamma \times 0.6} \]

Where:

  • \( B_{round} \) — Width of round footing (meters)
  • \( q_f \) — Ultimate bearing capacity (Pascals)
  • \( C \) — Cohesion of soil (Pascals)
  • \( N_c \) — Bearing capacity factor dependent on cohesion (±5%)
  • \( \sigma' \) — Effective surcharge (Pascals)
  • \( N_q \) — Bearing capacity factor dependent on surcharge (±5%)
  • \( N_\gamma \) — Bearing capacity factor dependent on unit weight (±5%)
  • \( \gamma \) — Unit weight of soil (N/m³)

3. Importance of Footing Width Calculation

Details: Proper footing width ensures the foundation can support structural loads without excessive settlement or shear failure.

4. Using the Calculator

Tips: Enter all required parameters. Bearing capacity factors typically have ±5% variability. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is ultimate bearing capacity?
A: The maximum pressure the soil can withstand before shear failure occurs.

Q2: Why ±5% for bearing capacity factors?
A: These factors are empirically derived and typically have about 5% variability.

Q3: How do I determine soil cohesion?
A: Cohesion is determined through laboratory tests like unconfined compression tests.

Q4: What's typical unit weight for soil?
A: Typically ranges from 16-22 kN/m³ (16,000-22,000 N/m³) for most soils.

Q5: When would I use this calculation?
A: When designing circular footings for structures like towers, silos, or columns.

Width of Footing given Round Footing and Bearing Capacity Calculator© - All Rights Reserved 2025