Submerged Unit Weight given Critical Depth and Cohesion Calculator

Submerged Unit Weight Formula:

\[ y_S = \frac{(\gamma_{sat} \cdot \tan(i) \cdot \cos^2(i)) - (C/h_c)}{-\tan(\phi_i) \cdot \cos^2(i)} \]

Saturated Unit Weight of Soil:

kN/m³

Angle of Inclination to Horizontal:

Cohesion in Soil:

kPa

Critical Depth:

Angle of Internal Friction:

Tolerance:

Submerged Unit Weight (kN/m³):

With ±5% Tolerance:

Definition: Submerged unit weight is the effective unit weight of soil when it's submerged under water, accounting for buoyancy effects.

Purpose: This calculation is crucial for analyzing soil stability in slopes, retaining walls, and foundations where water is present.

The calculator uses the formula:

\[ y_S = \frac{(\gamma_{sat} \cdot \tan(i) \cdot \cos^2(i)) - (C/h_c)}{-\tan(\phi_i) \cdot \cos^2(i)} \]

Where:

Details: Accurate calculation ensures proper design of geotechnical structures in wet conditions, preventing failures due to buoyancy effects.

Tips: Enter all required parameters. The tolerance field (default ±5%) allows for practical variations in material properties.

Q1: What's a typical range for submerged unit weight?
A: Most soils range between 8-12 kN/m³ when submerged, depending on particle density.

Q2: How does inclination angle affect the result?
A: Higher inclination angles increase the effect of gravity component parallel to the slope.

Q3: When would cohesion be zero?
A: Cohesion is zero for non-cohesive soils like clean sands and gravels.

Q4: What is critical depth?
A: The depth at which failure is most likely to occur in a slope stability analysis.

Q5: Why include tolerance?
A: Soil properties vary naturally; tolerance provides a practical range for design.