Length of Slip Circle given Sum of Tangential Component Calculator

Length of Slip Arc Formula:

\[ L' = \frac{(fs \times Ft) - (\Sigma N \times \tan(\phi \times \frac{\pi}{180}))}{cu} \]

Factor of Safety:

Sum of All Tangential Component:

Sum of all Normal Component:

Angle of Internal Friction:

Unit Cohesion:

Length of Slip Arc (m):

1. What is Length of Slip Circle given Sum of Tangential Component?

Definition: This calculator determines the length of the slip arc in soil mechanics based on the factor of safety, tangential and normal components, angle of internal friction, and unit cohesion.

Purpose: It helps geotechnical engineers analyze slope stability and potential failure surfaces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L' = \frac{(fs \times Ft) - (\Sigma N \times \tan(\phi \times \frac{\pi}{180}))}{cu} \]

Where:

\( L' \) — Length of slip arc (meters)
\( fs \) — Factor of safety
\( Ft \) — Sum of all tangential components (N)
\( \Sigma N \) — Sum of all normal components (N)
\( \phi \) — Angle of internal friction (degrees)
\( cu \) — Unit cohesion (Pa)

Explanation: The formula calculates the critical length of a potential slip surface considering both cohesive and frictional resistance.

3. Importance of Slip Circle Analysis

Details: Accurate slip circle analysis helps prevent slope failures, ensures structural stability, and guides proper engineering design.

4. Using the Calculator

Tips: Enter all required parameters. The ±5% indicates the typical measurement tolerance. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical factor of safety for slopes?
A: Common values range from 1.3 to 1.5, depending on consequences of failure and certainty of parameters.

Q2: How is the angle of internal friction determined?
A: Through laboratory tests like direct shear or triaxial tests on soil samples.

Q3: What affects unit cohesion in soils?
A: Soil type, moisture content, density, and stress history primarily influence cohesion.

Q4: Why use circular slip surfaces?
A: Circular surfaces often represent the critical failure mechanism in homogeneous soils.

Q5: How accurate is this calculation?
A: Results are theoretical; field conditions may vary. Always include appropriate safety margins.