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Infinite Slope Stability Safety Factor Calculator

Easily calculate and compute infinite slope stability safety factor calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
1.21 ratio

Factor of Safety (FS)

Factor of Safety (FS)

1.21 ratio

Factor Of Safety

1.21

Stability Status

Marginally Stable

Cohesion C

5

Friction Angle Deg

32

1.21 — ratio

Calculation Breakdown

  1. Applied FormulaEvaluates the factor of safety against translational planar sliding for an infinite soil slope with parallel groundwater seepage at depth H.\text{FS} = \frac{c'}{\gamma H \sin\beta\cos\beta} + \left(1 - \frac{\gamma_w h_w}{\gamma H}\right)\frac{\tan\phi'}{\tan\beta}

Infinite Slope Stability Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.60.91.2Factor of Safety (FS)

What Is the Infinite Slope Stability Safety Factor Calculator?

This tool computes infinite slope stability safety factor calculator with high precision arithmetic.

How Does the Infinite Slope Stability Safety Factor Calculator Work?

Evaluates the factor of safety against translational planar sliding for an infinite soil slope with parallel groundwater seepage at depth H.

Infinite Slope Stability Safety Factor Calculator Formula & Variables

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

FS=c′γHsin⁡βcos⁡β+(1−γwhwγH)tan⁡ϕ′tan⁡β\text{FS} = \frac{c'}{\gamma H \sin\beta\cos\beta} + \left(1 - \frac{\gamma_w h_w}{\gamma H}\right)\frac{\tan\phi'}{\tan\beta}

Evaluates the factor of safety against translational planar sliding for an infinite soil slope with parallel groundwater seepage at depth H.

How to Use the Infinite Slope Stability Safety Factor Calculator

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

Step-by-Step Example Calculation

Infinite Slope Stability Safety Factor Calculator Example

Input Values:

cohesionC:5
frictionAngleDeg:32
slopeAngleDeg:24
depthH:3
soilUnitWeight:19.5
waterTableRatio:0.6
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required ratio.

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.

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