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Hoek-Brown Rock Mass Triaxial Failure Criterion Calculator

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

Uniaxial compressive strength of intact rock.

Frictional constant for rock type (e.g. 7 to 32).

Rock mass quality index (10 to 100).

Blast damage and stress relief factor.

Minor principal confining stress.

Calculated Result
59.29 MPa

Major Principal Stress σ₁

Major Principal Stress σ₁

59.29 MPa

Sigma1 Mpa

59.29162312004117

Rock Mass Ucs Mpa

6.435219077650891

Mb Parameter

3.006893072839732

S Parameter

0.006737946999085467

59.29 — MPa

Calculation Breakdown

  1. Applied FormulaPredicts the nonlinear triaxial compressive strength of jointed rock masses using the generalized Hoek-Brown failure criterion.\sigma_1 = \sigma_3 + \sigma_{\text{ci}} \left( m_b \frac{\sigma_3}{\sigma_{\text{ci}}} + s \right)^a

Hoek-Brown Criterion Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.015304459Major Principal Stress σ₁

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

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

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

Predicts the nonlinear triaxial compressive strength of jointed rock masses using the generalized Hoek-Brown failure criterion.

Hoek-Brown Rock Mass Triaxial Failure 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_{\text{ci}} \left( m_b \frac{\sigma_3}{\sigma_{\text{ci}}} + s \right)^a

Predicts the nonlinear triaxial compressive strength of jointed rock masses using the generalized Hoek-Brown failure criterion.

How to Use the Hoek-Brown Rock Mass Triaxial Failure 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 Failure Criterion Calculator Example

Input Values:

ucsMpa:80
mi:15
gsi:55
disturbanceFactor:0
confiningStressMpa: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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