Skip to main content

Infinite Slope Soil Stability Factor of Safety (FS) Calculator

Easily calculate and compute infinite slope soil stability factor of safety (fs) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
2 FS

Slope Factor of Safety (FS)

Slope Factor of Safety (FS)

2 FS

Factor Of Safety Fs

2

Stability Status

Stable (FS ≥ 1.5 meets permanent civil engineering design standards)

2 — FS

Calculation Breakdown

  1. Applied FormulaEvaluates embankment and natural hillside landslide risk by computing the geotechnical Factor of Safety along planar slip surfaces.\text{FS} = \dfrac{c' + \gamma z \cos^2 \beta \tan \phi'}{\gamma z \sin \beta \cos \beta}

Slope Stability (FS) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.51.01.52.0Slope Factor of Safety (FS)

What Is the Infinite Slope Soil Stability Factor of Safety (FS) Calculator?

This tool computes infinite slope soil stability factor of safety (fs) calculator with high precision arithmetic.

How Does the Infinite Slope Soil Stability Factor of Safety (FS) Calculator Work?

Evaluates embankment and natural hillside landslide risk by computing the geotechnical Factor of Safety along planar slip surfaces.

Infinite Slope Soil Stability Factor of Safety (FS) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

FS=c′+γzcos⁡2βtan⁡ϕ′γzsin⁡βcos⁡β\text{FS} = \dfrac{c' + \gamma z \cos^2 \beta \tan \phi'}{\gamma z \sin \beta \cos \beta}

Evaluates embankment and natural hillside landslide risk by computing the geotechnical Factor of Safety along planar slip surfaces.

How to Use the Infinite Slope Soil Stability Factor of Safety (FS) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Infinite Slope Soil Stability Factor of Safety (FS) Calculator Example

Input Values:

soilInternalFrictionAngleDeg:32
slopeAngleBetaDeg:22
cohesionInterceptPsf:150
soilUnitWeightPcf:120
failureDepthFeet:8
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required FS.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Explore more tools and calculators in Construction Calculators