Unit Weight of Soil given Factor of Safety Calculator

Unit Weight of Soil Formula:

\[ \gamma = \frac{c}{S_n \times H_{Mobilised} \times F_c} \]

Cohesion of Soil (c):

Stability Number (S_n):

Depth at Mobilized Cohesion (H_Mobilised):

Factor of Safety (F_c):

Unit Weight of Soil (γ):

Definition: This calculator determines the unit weight of soil based on cohesion, stability number, mobilized depth, and factor of safety.

Purpose: It helps geotechnical engineers assess soil properties critical for slope stability analysis and foundation design.

The calculator uses the formula:

\[ \gamma = \frac{c}{S_n \times H_{Mobilised} \times F_c} \]

Where:

Explanation: The formula relates soil's unit weight to its shear strength parameters and safety factors.

Details: Accurate unit weight estimation is essential for calculating earth pressures, bearing capacity, and slope stability.

Tips: Enter all parameters with appropriate ±5% tolerances. All values must be positive numbers.

Q1: What is typical cohesion value for soils?
A: Cohesion ranges from 0 kPa for sands to 50+ kPa for stiff clays.

Q2: How is stability number determined?
A: Stability number comes from slope stability charts based on slope angle and soil properties.

Q3: Why include ±5% tolerance?
A: Soil properties naturally vary, so calculations should account for this uncertainty.

Q4: What's a typical factor of safety?
A: Common values range from 1.3 to 1.5, depending on project requirements.

Q5: How does mobilized depth affect results?
A: Deeper mobilization zones typically indicate lower unit weights for given conditions.