Submerged Unit Weight given Weighted Friction Angle Calculator

Submerged Unit Weight Formula:

\[ \gamma' = \frac{\phi_w \times \gamma_{sat}}{\phi_{iw}} \]

Weighted Friction Angle (φw):

Saturated Unit Weight (γ_sat):

Internal Friction Angle (φ_iw):

Submerged Unit Weight (γ'):

1. What is Submerged Unit Weight given Weighted Friction Angle?

Definition: This calculator determines the effective weight of soil per unit volume when submerged in water, considering weighted friction angle and internal friction angle.

Purpose: It helps geotechnical engineers analyze soil stability under submerged conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma' = \frac{\phi_w \times \gamma_{sat}}{\phi_{iw}} \]

Where:

\( \gamma' \) — Submerged unit weight (N/m³)
\( \phi_w \) — Weighted friction angle (radians)
\( \gamma_{sat} \) — Saturated unit weight (N/m³)
\( \phi_{iw} \) — Internal friction angle (radians)

Explanation: The weighted friction angle and saturated unit weight are multiplied, then divided by the internal friction angle to get the submerged unit weight.

3. Importance of Submerged Unit Weight Calculation

Details: Accurate calculation is crucial for designing foundations, retaining walls, and other structures in submerged conditions.

4. Using the Calculator

Tips: Enter all three parameters with ±5% accuracy. Values must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is weighted friction angle?
A: It's an effective measure combining materials' friction properties and their relative contributions in geotechnical analysis.

Q2: How is saturated unit weight different from submerged unit weight?
A: Saturated unit weight includes water in pores, while submerged unit weight considers buoyancy effects.

Q3: Why is internal friction angle important?
A: It measures soil's shear strength due to friction between particles.

Q4: What units should I use?
A: The calculator works with consistent units (N/m³ for weights, radians for angles).

Q5: How accurate are the results?
A: Results are theoretical estimates; field conditions may vary by ±5% or more.