Slope Stability Calculator

Infinite Slope Analysis Method (Factor of Safety)

Factor of Safety (FoS)
-

Calculation Steps:

What is Slope Stability Analysis?

Slope stability analysis is a crucial branch of geotechnical engineering that evaluates the potential of natural or engineered slopes to withstand movement. This calculator utilizes the Infinite Slope Analysis model, which assumes the failure surface is parallel to the ground surface at a constant depth. This method is highly effective for analyzing shallow landslides and long slopes where the length of the slope is significantly greater than the depth of the failure plane.

Understanding the Factor of Safety (FoS)

The Factor of Safety (FoS) is the ratio between the shear strength of the soil (resisting forces) and the shear stress acting upon it (driving forces). In civil engineering, a FoS value greater than 1.0 indicates stability. However, most professional standards require a minimum FoS of 1.3 to 1.5 to account for soil variability and environmental factors like pore water pressure and seismic activity.

Key Parameters Explained

To use this calculator effectively, you must understand the primary inputs:

  • Cohesion (c): The internal binding force of soil particles.
  • Internal Friction Angle (φ): The resistance to sliding between soil particles.
  • Unit Weight (γ): The weight of the soil per unit volume.
  • Slope Angle (β): The inclination of the ground relative to the horizontal plane.
  • Depth (z): The vertical distance from the surface to the potential failure plane.

Frequently Asked Questions

What happens if FoS is less than 1?

If the calculated Factor of Safety is less than 1.0, the slope is considered unstable, and a failure (landslide) is theoretically imminent or already occurring as the driving forces exceed the soil's strength.

How do I improve slope stability?

Stability can be improved by reducing the slope angle (flattening), increasing cohesion through vegetation or chemical stabilization, or installing retaining structures and proper drainage systems to reduce water pressure.