Cohesion of Soil given Strip Footing and Bearing Capacity Calculator

Cohesion of Soil Formula:

\[ C_{st} = \frac{q_f - (\sigma' \times N_q + 0.5 \times \gamma \times B \times N_\gamma \times 1)}{1 \times N_c} \]

Ultimate Bearing Capacity:

Effective Surcharge:

Bearing Capacity Factor (Surcharge):

Unit Weight of Soil:

Width of Footing:

Bearing Capacity Factor (Unit Weight):

Bearing Capacity Factor (Cohesion):

Cohesion of Soil (Pascal):

1. What is Cohesion of Soil given Strip Footing?

Definition: This calculator determines the cohesion of soil for a strip footing based on bearing capacity factors and soil properties.

Purpose: It helps geotechnical engineers and construction professionals assess soil strength for foundation design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_{st} = \frac{q_f - (\sigma' \times N_q + 0.5 \times \gamma \times B \times N_\gamma \times 1)}{1 \times N_c} \]

Where:

\( C_{st} \) — Cohesion of soil (Pascal)
\( q_f \) — Ultimate bearing capacity (Pascal)
\( \sigma' \) — Effective surcharge (Pascal)
\( N_q \) — Bearing capacity factor (surcharge)
\( \gamma \) — Unit weight of soil (N/m³)
\( B \) — Width of footing (m)
\( N_\gamma \) — Bearing capacity factor (unit weight)
\( N_c \) — Bearing capacity factor (cohesion)

3. Importance of Soil Cohesion Calculation

Details: Proper cohesion estimation ensures stable foundations, prevents settlement issues, and helps in designing appropriate footing dimensions.

4. Using the Calculator

Tips: Enter all required parameters. The ±5% indicates the typical accuracy range for these calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is typical cohesion value range for soils?
A: Clay soils typically range from 10-200 kPa, while sandy soils have negligible cohesion.

Q2: How do I determine bearing capacity factors?
A: They depend on soil friction angle - use standard geotechnical tables or equations.

Q3: Why is effective surcharge important?
A: It accounts for overburden pressure that contributes to bearing capacity.

Q4: What units should I use?
A: Use consistent units (Pascal for pressure, meters for length, N/m³ for unit weight).

Q5: How accurate is this calculation?
A: Results are typically within ±5% of actual values when input parameters are accurate.