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Planar Rock Slope Sliding Stability & Water Pressure Safety Factor Calculator

Easily calculate and compute planar rock slope sliding stability & water pressure safety factor calculator with accurate equations, live formulas, and expert guidance.

Dip angle of continuous sliding daylighting joint.

Total weight of rock slab above failure plane.

Discontinuity cohesive bond.

Failure plane sliding area.

Joint internal friction angle.

Hydraulic pore water uplift along sliding joint.

Calculated Result
2.79 FOS

Planar FOS

Planar FOS

2.79 FOS

Factor Of Safety Fos

2.79

Driving Shear Force Kn

1433.9

Effective Normal Force Kn

1597.9

Cohesive Resistance Kn

3000

2.79 — FOS

Calculation Breakdown

  1. Applied FormulaEvaluates the Factor of Safety (FOS) against planar translational sliding failure along geological discontinuities in rock slopes and highway road cuts accounting for hydrostatic cleft water pressures.\text{FOS} = \frac{c A + (W \cos\psi_p - U)\tan\phi}{W \sin\psi_p}

Planar Rock Slope FOS Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.71.42.12.8Planar FOS

What Is the Planar Rock Slope Sliding Stability & Water Pressure Safety Factor Calculator?

This tool computes planar rock slope sliding stability & water pressure safety factor calculator with high precision arithmetic.

How Does the Planar Rock Slope Sliding Stability & Water Pressure Safety Factor Calculator Work?

Evaluates the Factor of Safety (FOS) against planar translational sliding failure along geological discontinuities in rock slopes and highway road cuts accounting for hydrostatic cleft water pressures.

Planar Rock Slope Sliding Stability & Water Pressure Safety Factor Calculator Formula & Variables

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

FOS=cA+(Wcos⁡ψp−U)tan⁡ϕWsin⁡ψp\text{FOS} = \frac{c A + (W \cos\psi_p - U)\tan\phi}{W \sin\psi_p}

Evaluates the Factor of Safety (FOS) against planar translational sliding failure along geological discontinuities in rock slopes and highway road cuts accounting for hydrostatic cleft water pressures.

How to Use the Planar Rock Slope Sliding Stability & Water Pressure Safety Factor Calculator

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

Step-by-Step Example Calculation

Planar Rock Slope Sliding Stability & Water Pressure Safety Factor Calculator Example

Input Values:

failurePlaneDipAngleDeg:35
slidingBlockWeightKn:2500
cohesionKpa:25
jointAreaM2:120
frictionAngleDeg:32
upliftWaterForceU_Kn:450
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required FOS.

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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