Unit Weight of Soil given Bearing Capacity Factor, Depth and Width of Footing Calculator

Unit Weight of Soil Formula:

\[ \gamma = \frac{q_{nf} - (C_s \times N_c)}{(0.5 \times B \times N_\gamma) + (D \times (N_q - 1))} \]

Net Ultimate Bearing Capacity:

kN/m²

Cohesion of Soil:

kN/m²

Bearing Capacity Factor (Cohesion):

Width of Footing:

Bearing Capacity Factor (Unit Weight):

Depth of Footing:

Bearing Capacity Factor (Surcharge):

Unit Weight of Soil (γ):

Definition: This calculator determines the unit weight of soil based on bearing capacity factors, footing dimensions, and soil properties.

Purpose: It helps geotechnical engineers and construction professionals estimate soil unit weight for foundation design.

The calculator uses the formula:

\[ \gamma = \frac{q_{nf} - (C_s \times N_c)}{(0.5 \times B \times N_\gamma) + (D \times (N_q - 1))} \]

Where:

Details: Accurate unit weight estimation is crucial for foundation design, slope stability analysis, and earthwork calculations.

Tips: Enter all required parameters. Bearing capacity factors typically range from 1-40 depending on soil type and angle of internal friction.

Q1: What are typical values for bearing capacity factors?
A: For φ=30°: Nc≈30, Nq≈18, Nγ≈20. Values increase with higher friction angles.

Q2: How do I determine net ultimate bearing capacity?
A: Through plate load tests or empirical correlations with soil properties.

Q3: What if my soil has no cohesion (C=0)?
A: Simply enter 0 for cohesion - the calculator will handle it appropriately.

Q4: Why are bearing capacity factors marked ±5%?
A: These factors have inherent variability based on soil conditions and testing methods.

Q5: What units should I use?
A: Consistent SI units are required (kN and meters).