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Hoek-Brown Rock Mass Triaxial Compressive Strength Criterion Calculator

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

Laboratory intact core UCS.

GSI rating from 10 (disintegrated) to 100 (intact).

Granite ≈ 30; Sandstone ≈ 17; Shale ≈ 6; Basalt ≈ 25.

In-situ confining pressure.

Calculated Result
60.8 MPa

Peak Strength (σ₁)

Peak Strength (σ₁)

60.8 MPa

Triaxial Rock Mass Strength Sigma1 Mpa

60.8

Unconfined Rock Mass Strength Sigma Cm Mpa

6.8

Hoek Brown Parameter Mb

3.01

Hoek Brown Parameter S

0.006738

60.8 — MPa

Calculation Breakdown

  1. Applied FormulaCalculates the non-linear triaxial rock mass compressive strength (σ₁) and Hoek-Brown constitutive parameters (m_b, s, a) for tunneling and open-pit mining geotechnics.\sigma_1 = \sigma_3 + \sigma_{ci}\left(m_b \frac{\sigma_3}{\sigma_{ci}} + s\right)^a

Hoek-Brown Rock Strength Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.015304661Peak Strength (σ₁)

What Is the Hoek-Brown Rock Mass Triaxial Compressive Strength Criterion Calculator?

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

How Does the Hoek-Brown Rock Mass Triaxial Compressive Strength Criterion Calculator Work?

Calculates the non-linear triaxial rock mass compressive strength (σ₁) and Hoek-Brown constitutive parameters (m_b, s, a) for tunneling and open-pit mining geotechnics.

Hoek-Brown Rock Mass Triaxial Compressive Strength Criterion Calculator Formula & Variables

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

σ1=σ3+σci(mbσ3σci+s)a\sigma_1 = \sigma_3 + \sigma_{ci}\left(m_b \frac{\sigma_3}{\sigma_{ci}} + s\right)^a

Calculates the non-linear triaxial rock mass compressive strength (σ₁) and Hoek-Brown constitutive parameters (m_b, s, a) for tunneling and open-pit mining geotechnics.

How to Use the Hoek-Brown Rock Mass Triaxial Compressive Strength Criterion Calculator

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

Step-by-Step Example Calculation

Hoek-Brown Rock Mass Triaxial Compressive Strength Criterion Calculator Example

Input Values:

intactUniaxialStrengthSigmaCiMpa:85
geologicalStrengthIndexGsi:55
intactRockPetrographicMi:15
confiningStressSigma3Mpa:10
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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