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Rock Wedge Sliding Factor of Safety (Intersecting Discontinuities) Calculator

Easily calculate and compute rock wedge sliding factor of safety (intersecting discontinuities) calculator with accurate equations, live formulas, and expert guidance.

Plunge of the line formed by intersecting joint planes A and B.

Weight of tetrahedral rock block.

Friction angle along plane A.

Friction angle along plane B.

Wedge confinement factor based on plane dihedral angle (typically 1.1 to 1.8).

Calculated Result
1 FOS

Wedge FOS

Wedge FOS

1 FOS

Wedge Factor Of Safety Fos

1

Sliding Driving Force Kn

1108.2

Frictional Resisting Force Kn

1107.9

Average Joint Friction Angle Deg

32

1 — FOS

Calculation Breakdown

  1. Applied FormulaCalculates the 3D tetrahedral rock wedge sliding Factor of Safety (FOS) along the line of intersection of two distinct geological joint planes in rock cuts and open-pit mines.\text{FOS} = \frac{K_w \cos\xi \tan\phi_{\text{avg}}}{\sin\xi}

Rock Wedge Sliding FOS Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Wedge FOS

What Is the Rock Wedge Sliding Factor of Safety (Intersecting Discontinuities) Calculator?

This tool computes rock wedge sliding factor of safety (intersecting discontinuities) calculator with high precision arithmetic.

How Does the Rock Wedge Sliding Factor of Safety (Intersecting Discontinuities) Calculator Work?

Calculates the 3D tetrahedral rock wedge sliding Factor of Safety (FOS) along the line of intersection of two distinct geological joint planes in rock cuts and open-pit mines.

Rock Wedge Sliding Factor of Safety (Intersecting Discontinuities) Calculator Formula & Variables

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

FOS=Kwcos⁡ξtan⁡ϕavgsin⁡ξ\text{FOS} = \frac{K_w \cos\xi \tan\phi_{\text{avg}}}{\sin\xi}

Calculates the 3D tetrahedral rock wedge sliding Factor of Safety (FOS) along the line of intersection of two distinct geological joint planes in rock cuts and open-pit mines.

How to Use the Rock Wedge Sliding Factor of Safety (Intersecting Discontinuities) Calculator

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

Step-by-Step Example Calculation

Rock Wedge Sliding Factor of Safety (Intersecting Discontinuities) Calculator Example

Input Values:

plungeAngleIntersectionLineDeg:38
wedgeTotalWeightKn:1800
planeAFrictionAngleDeg:34
planeBFrictionAngleDeg:30
wedgeGeometricFactorK:1.25
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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