Bearing Capacity Factor Dependent on Weight given Ultimate Bearing Capacity Calculator

Bearing Capacity Factor Formula:

\[ N_γ = \frac{q_{fc} - (C \times N_c + γ \times D_{footing} \times N_q)}{0.5 \times γ \times B} \]

Ultimate Bearing Capacity (q_fc):

kPa

Cohesion (C):

kPa

Bearing Capacity Factor (N_c):

Unit Weight of Soil (γ):

kN/m³

Depth of Footing (D):

Bearing Capacity Factor (N_q):

Width of Footing (B):

Bearing Capacity Factor (N_γ):

1. What is Bearing Capacity Factor Dependent on Weight?

Definition: This calculator determines the bearing capacity factor (N_γ) that depends on the unit weight of soil, given the ultimate bearing capacity and other soil parameters.

Purpose: It helps geotechnical engineers and foundation designers calculate the bearing capacity factor needed for foundation design calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_γ = \frac{q_{fc} - (C \times N_c + γ \times D \times N_q)}{0.5 \times γ \times B} \]

Where:

\( N_γ \) — Bearing capacity factor dependent on unit weight
\( q_{fc} \) — Ultimate bearing capacity (kPa)
\( C \) — Cohesion of soil (kPa)
\( N_c \) — Bearing capacity factor dependent on cohesion
\( γ \) — Unit weight of soil (kN/m³)
\( D \) — Depth of footing (m)
\( N_q \) — Bearing capacity factor dependent on surcharge
\( B \) — Width of footing (m)

3. Importance of Bearing Capacity Factor

Details: The bearing capacity factor is crucial for determining the ultimate load that a foundation can support before shear failure occurs in the soil.

4. Using the Calculator

Tips: Enter all required parameters. Note that bearing capacity factors N_c and N_q typically have ±5% uncertainty. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for N_γ?
A: Values typically range from 0 to 50, depending on soil type and footing geometry.

Q2: Why do N_c and N_q have ±5% uncertainty?
A: These factors are empirically derived and can vary slightly based on soil conditions.

Q3: How do I determine the ultimate bearing capacity?
A: It can be obtained from soil tests or estimated using other bearing capacity formulas.

Q4: What if I get a negative result?
A: Check your input values. Negative results indicate invalid input combinations.

Q5: How accurate is this calculation?
A: Accuracy depends on input precision. For design, always consult a geotechnical engineer.