Factor of Safety given Mobilized Shear resistance of Soil Calculator

Factor of Safety Formula:

\[ f_s = \frac{c_u}{c_m} \]

Factor of Safety:

1. What is Factor of Safety given Mobilized Shear resistance of Soil?

Definition: This calculator determines the factor of safety in soil mechanics by comparing the unit cohesion to the mobilized shear resistance.

Purpose: It helps geotechnical engineers assess the stability of soil structures and slopes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_s = \frac{c_u}{c_m} \]

Where:

\( f_s \) — Factor of Safety
\( c_u \) — Unit Cohesion (%)
\( c_m \) — Mobilized Shear Resistance (%)

Explanation: The factor of safety is calculated by dividing the soil's unit cohesion by its mobilized shear resistance.

3. Importance of Factor of Safety Calculation

Details: A proper factor of safety ensures stability against shear failure in slopes, retaining walls, and foundations.

4. Using the Calculator

Tips: Enter the unit cohesion and mobilized shear resistance as percentages. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a good factor of safety value?
A: Typically 1.5-2.5 for slopes, but depends on project requirements and consequences of failure.

Q2: Why use percentages for input values?
A: Percentages are commonly used in soil mechanics to express these parameters relative to soil strength.

Q3: What if I get a factor of safety less than 1?
A: This indicates potential instability, and the design should be revised.

Q4: How do I determine unit cohesion?
A: Through laboratory tests like unconfined compression or triaxial tests.

Q5: Does this calculator account for dynamic loads?
A: No, this is for static conditions only. Additional factors are needed for seismic or dynamic loading.