Mobilized Cohesion given Cohesive Force along Slip Plane Calculator

Mobilized Cohesion Formula:

\[ c_m = \frac{F_c}{L} \]

Mobilized Cohesion (c_m):

1. What is Mobilized Cohesion?

Definition: Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress along a potential failure plane.

Purpose: It helps geotechnical engineers analyze slope stability and determine the safety factor against sliding.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c_m = \frac{F_c}{L} \]

Where:

\( c_m \) — Mobilized cohesion (kN/cm²)
\( F_c \) — Cohesive force along slip plane (kN)
\( L \) — Length of slip plane (cm)

Explanation: The cohesive force is divided by the length of the slip plane to determine the mobilized cohesion per unit area.

3. Importance of Tolerance

Details: The ±5% tolerance accounts for measurement uncertainties and material variability in soil properties.

4. Using the Calculator

Tips: Enter the cohesive force in kN, length of slip plane in cm, and tolerance percentage (default 5%). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What is cohesive force in soil mechanics?
A: It's the shear resistance provided by soil's cohesive properties along a potential failure plane.

Q2: How do I determine the length of slip plane?
A: It's typically determined through geotechnical analysis of the potential failure surface.

Q3: When would I adjust the tolerance percentage?
A: Increase tolerance for highly variable soils or when measurement accuracy is limited.

Q4: What units should I use?
A: This calculator uses kN for force and cm for length, resulting in kN/cm² for cohesion.

Q5: How does mobilized cohesion relate to slope stability?
A: Higher mobilized cohesion indicates greater resistance to slope failure.