Bearing Capacity Factor Dependent On Surcharge For Case Of Local Shear Failure Calculator

Bearing Capacity Factor Dependent on Surcharge Formula:

\[ N_q = \frac{q_{nu} - \left(\frac{2}{3} \times C \times N_c + 0.5 \times B \times \gamma \times N_\gamma\right)}{\sigma_s} + 1 \]

Net Ultimate BC (q_nu):

Pascal

Cohesion in Soil (C):

Pascal

Bearing Capacity Factor Dependent on Cohesion (N_c):

Width of Footing (B):

Meter

Unit Weight of Soil (γ):

N/m³

Bearing Capacity Factor Dependent on Unit Weight (N_γ):

Effective Surcharge (σ_s):

Pascal

Bearing Capacity Factor Dependent on Surcharge (N_q):

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1. What is Bearing Capacity Factor Dependent on Surcharge?

The Bearing Capacity Factor Dependent on Surcharge (N_q) is a dimensionless factor used in geotechnical engineering to calculate the ultimate bearing capacity of shallow foundations. It accounts for the effect of surcharge load on the bearing capacity of soil.

2. How Does the Calculator Work?

The calculator uses the formula for local shear failure:

\[ N_q = \frac{q_{nu} - \left(\frac{2}{3} \times C \times N_c + 0.5 \times B \times \gamma \times N_\gamma\right)}{\sigma_s} + 1 \]

Where:

\( N_q \) — Bearing Capacity Factor Dependent on Surcharge
\( q_{nu} \) — Net Ultimate Bearing Capacity (Pascal)
\( C \) — Cohesion in Soil (Pascal)
\( N_c \) — Bearing Capacity Factor Dependent on Cohesion
\( B \) — Width of Footing (Meter)
\( \gamma \) — Unit Weight of Soil (N/m³)
\( N_\gamma \) — Bearing Capacity Factor Dependent on Unit Weight
\( \sigma_s \) — Effective Surcharge (Pascal)

Explanation: This formula calculates the bearing capacity factor that depends on surcharge by considering various soil properties and foundation dimensions.

3. Importance of Bearing Capacity Calculation

Details: Accurate bearing capacity calculation is crucial for designing safe and stable foundations that can support structural loads without excessive settlement or shear failure.

4. Using the Calculator

Tips: Enter all required parameters in appropriate units. Ensure all values are positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is local shear failure?
A: Local shear failure occurs when the soil fails progressively rather than suddenly, with some soil still providing resistance after initial failure.

Q2: How does surcharge affect bearing capacity?
A: Surcharge increases the confining pressure around the foundation, which generally increases the bearing capacity of the soil.

Q3: When should this formula be used?
A: This formula is specifically designed for cases of local shear failure in soil mechanics calculations.

Q4: What are typical values for N_q?
A: N_q values vary depending on soil properties and conditions, typically ranging from 1 to 60 for different soil types.

Q5: Are there limitations to this equation?
A: This equation assumes specific failure mechanisms and may not be accurate for all soil types or complex loading conditions.