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Geological Strength Index (GSI) Hoek-Brown Rock Mass Calculator

Easily calculate and compute geological strength index (gsi) hoek-brown rock mass calculator with accurate equations, live formulas, and expert guidance.

Structure and surface condition score.

Uniaxial compressive strength of intact core specimen.

Lithology constant (e.g. Sandstone ~17-19, Granite ~30).

Damage factor (0 = undisturbed TBM, 1 = heavy production blast).

Calculated Result
5.71 MPa

Rock Mass Compressive Strength σ_cm

Rock Mass Compressive Strength σ_cm

5.71 MPa

Rock Mass Compressive Strength Mpa

5.710995265069658

Parameter Mb

3.018190477532347

Parameter S

0.004714356473549276

Parameter A

0.5040481499008612

5.71 — MPa

Calculation Breakdown

  1. Applied FormulaComputes Hoek-Brown non-linear rock mass failure envelope parameters (mb, s, a) and global rock mass compressive strength from GSI.m_b = m_i \exp\left(\frac{GSI - 100}{28 - 14 D}\right)

Hoek-Brown GSI Strength Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.42.94.35.7Rock Mass Compressive Strength σ_cm

What Is the Geological Strength Index (GSI) Hoek-Brown Rock Mass Calculator?

This tool computes geological strength index (gsi) hoek-brown rock mass calculator with high precision arithmetic.

How Does the Geological Strength Index (GSI) Hoek-Brown Rock Mass Calculator Work?

Computes Hoek-Brown non-linear rock mass failure envelope parameters (mb, s, a) and global rock mass compressive strength from GSI.

Geological Strength Index (GSI) Hoek-Brown Rock Mass Calculator Formula & Variables

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

mb=miexp⁡(GSI−10028−14D)m_b = m_i \exp\left(\frac{GSI - 100}{28 - 14 D}\right)

Computes Hoek-Brown non-linear rock mass failure envelope parameters (mb, s, a) and global rock mass compressive strength from GSI.

How to Use the Geological Strength Index (GSI) Hoek-Brown Rock Mass Calculator

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

Step-by-Step Example Calculation

Geological Strength Index (GSI) Hoek-Brown Rock Mass Calculator Example

Input Values:

gsiScore:55
intactUcsSigmaCiMpa:85
intactConstantMi:18
blastDisturbanceFactorD:0.2
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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