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Hoek-Brown Rock Mass Strength Criterion & GSI Calculator

Easily calculate and compute hoek-brown rock mass strength criterion & gsi calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
10.19 MPa

Rock Mass Compressive Strength (sigma_cm)

Rock Mass Compressive Strength (sigma_cm)

10.19 MPa

Rock Mass Uniaxial Strength M Pa

10.19

Reduced Material Constant Mb

7.207

Rock Mass Parameter S

0.01467

Rock Mass Exponent A

0.502

10.19 — MPa

Calculation Breakdown

  1. Applied FormulaDetermines non-linear triaxial rock mass strength and equivalent Mohr-Coulomb cohesion and friction angle using the generalized Hoek-Brown criterion and Geological Strength Index (GSI).\sigma_1^{\prime} = \sigma_3^{\prime} + \sigma_{ci} \left( m_b \frac{\sigma_3^{\prime}}{\sigma_{ci}} + s \right)^a, \quad m_b = m_i \exp\left( \frac{\text{GSI} - 100}{28 - 14 D} \right)

Hoek-Brown Rock Strength Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.55.17.610Rock Mass Compressive Strength (sigma_cm)

What Is the Hoek-Brown Rock Mass Strength Criterion & GSI Calculator?

This tool computes hoek-brown rock mass strength criterion & gsi calculator with high precision arithmetic.

How Does the Hoek-Brown Rock Mass Strength Criterion & GSI Calculator Work?

Determines non-linear triaxial rock mass strength and equivalent Mohr-Coulomb cohesion and friction angle using the generalized Hoek-Brown criterion and Geological Strength Index (GSI).

Hoek-Brown Rock Mass Strength Criterion & GSI Calculator Formula & Variables

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

σ1′=σ3′+σci(mbσ3′σci+s)a,mb=miexp⁡(GSI−10028−14D)\sigma_1^{\prime} = \sigma_3^{\prime} + \sigma_{ci} \left( m_b \frac{\sigma_3^{\prime}}{\sigma_{ci}} + s \right)^a, \quad m_b = m_i \exp\left( \frac{\text{GSI} - 100}{28 - 14 D} \right)

Determines non-linear triaxial rock mass strength and equivalent Mohr-Coulomb cohesion and friction angle using the generalized Hoek-Brown criterion and Geological Strength Index (GSI).

How to Use the Hoek-Brown Rock Mass Strength Criterion & GSI Calculator

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

Step-by-Step Example Calculation

Hoek-Brown Rock Mass Strength Criterion & GSI Calculator Example

Input Values:

intactUniaxialStrengthSigmaCiMPa:85
geologicalStrengthIndexGSI:62
intactRockMaterialConstantMi:28
disturbanceFactorD:0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required MPa.

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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