Bearing Capacity Factor Dependent on Cohesion for Cohesive Soil given Depth of Footing Calculator

Bearing Capacity Factor Formula:

\[ N_c = \frac{q_f - (\gamma \times D \times N_q)}{C_s} \]

Ultimate Bearing Capacity:

Pascal

Unit Weight of Soil:

N/m³

Depth of Footing:

Bearing Capacity Factor (Surcharge):

Cohesion of Soil:

Pascal

Bearing Capacity Factor (Nc):

1. What is Bearing Capacity Factor Dependent on Cohesion?

Definition: This is a constant whose value depends upon the cohesion of soil in bearing capacity calculations.

Purpose: It helps geotechnical engineers determine the ultimate bearing capacity of cohesive soils considering depth of footing.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_c = \frac{q_f - (\gamma \times D \times N_q)}{C_s} \]

Where:

\( N_c \) — Bearing Capacity Factor dependent on Cohesion
\( q_f \) — Ultimate Bearing Capacity (Pascal)
\( \gamma \) — Unit Weight of Soil (N/m³)
\( D \) — Depth of Footing (m)
\( N_q \) — Bearing Capacity Factor dependent on Surcharge (±5%)
\( C_s \) — Cohesion of Soil (Pascal)

Explanation: The formula calculates the bearing capacity factor by accounting for the soil's ultimate bearing capacity, unit weight, footing depth, surcharge factor, and cohesion.

3. Importance of Bearing Capacity Factor

Details: Proper calculation ensures safe foundation design by considering soil cohesion properties and depth effects.

4. Using the Calculator

Tips: Enter all required parameters in their respective units. The surcharge factor (Nq) has a ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for Nc?
A: For cohesive soils, Nc typically ranges from 5.14 (for surface footings) to higher values for deeper footings.

Q2: Why is there a ±5% on Nq?
A: The ±5% accounts for variability in soil conditions and measurement uncertainties.

Q3: How does footing depth affect Nc?
A: Deeper footings generally have higher bearing capacity factors due to increased confining pressure.

Q4: What if my cohesion value is in kPa?
A: Convert kPa to Pascal (1 kPa = 1000 Pa) before inputting the value.

Q5: Can this be used for non-cohesive soils?
A: No, this formula is specifically for cohesive soils where cohesion (Cs) is significant.