Shape Factor Dependent on Unit Weight Calculator

Shape Factor Formula:

\[ sγ = \frac{qf - ( (sc \times C \times Nc) + (σ' \times Nq) )}{0.5 \times B \times γ \times Nγ} \]

Ultimate Bearing Capacity (qf):

Shape Factor (sc):

Cohesion (C):

Bearing Capacity Factor (Nc):

Effective Surcharge (σ'):

Bearing Capacity Factor (Nq):

Width of Footing (B):

Unit Weight of Soil (γ):

N/m³

Bearing Capacity Factor (Nγ):

Shape Factor Dependent on Unit Weight (sγ):

1. What is Shape Factor Dependent on Unit Weight?

Definition: Shape Factor dependent on Unit Weight is a factor in soil mechanics used in calculating bearing capacity of foundations.

Purpose: It helps geotechnical engineers determine the bearing capacity of different foundation shapes under various soil conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ sγ = \frac{qf - ( (sc \times C \times Nc) + (σ' \times Nq) )}{0.5 \times B \times γ \times Nγ} \]

Where:

\( sγ \) — Shape Factor dependent on Unit Weight
\( qf \) — Ultimate Bearing Capacity (Pa)
\( sc \) — Shape Factor dependent on Cohesion
\( C \) — Cohesion (Pa)
\( Nc \) — Bearing Capacity Factor dependent on Cohesion
\( σ' \) — Effective Surcharge (Pa)
\( Nq \) — Bearing Capacity Factor dependent on Surcharge
\( B \) — Width of Footing (m)
\( γ \) — Unit Weight of Soil (N/m³)
\( Nγ \) — Bearing Capacity Factor dependent on Unit Weight

3. Importance of Shape Factor Calculation

Details: Accurate calculation of shape factors ensures proper foundation design, preventing settlement or failure of structures.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Default values are provided for reference. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for shape factors?
A: Shape factors typically range from 0.8 to 1.3 depending on foundation shape and soil conditions.

Q2: Why are there ±5% indicators?
A: These indicate the typical accuracy range for these parameters in geotechnical practice.

Q3: How do I determine the bearing capacity factors?
A: They are typically determined from soil friction angle using established tables or equations.

Q4: What units should I use?
A: Use consistent SI units: Pascals for pressure, meters for length, and N/m³ for unit weight.

Q5: Can this be used for all foundation shapes?
A: The calculator provides general results; specific shapes may require additional correction factors.