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Geological Strength Index (GSI) Rock Mass Modulus Calculator

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

Young modulus of intact core specimen.

GSI rating (10 to 100).

Blasting damage factor.

Calculated Result
23.4 GPa

Deformation Modulus E_rm

Deformation Modulus E_rm

23.4 GPa

Rock Mass Modulus Gpa

23.400000000000002

Modulus Ratio

0.52

Gsi

60

23.4 — GPa

Calculation Breakdown

  1. Applied FormulaEstimates the in-situ deformation modulus of rock mass based on Hoek & Diederichs (2006) relationship from intact modulus and GSI.E_{\text{rm}} = E_i \left( 0.02 + \frac{1 - D/2}{1 + e^{\frac{60 + 15D - \text{GSI}}{11}}} \right)

Rock Mass Modulus Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.05.9121823Deformation Modulus E_rm

What Is the Geological Strength Index (GSI) Rock Mass Modulus Calculator?

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

How Does the Geological Strength Index (GSI) Rock Mass Modulus Calculator Work?

Estimates the in-situ deformation modulus of rock mass based on Hoek & Diederichs (2006) relationship from intact modulus and GSI.

Geological Strength Index (GSI) Rock Mass Modulus Calculator Formula & Variables

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

Erm=Ei(0.02+1−D/21+e60+15D−GSI11)E_{\text{rm}} = E_i \left( 0.02 + \frac{1 - D/2}{1 + e^{\frac{60 + 15D - \text{GSI}}{11}}} \right)

Estimates the in-situ deformation modulus of rock mass based on Hoek & Diederichs (2006) relationship from intact modulus and GSI.

How to Use the Geological Strength Index (GSI) Rock Mass Modulus Calculator

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

Step-by-Step Example Calculation

Geological Strength Index (GSI) Rock Mass Modulus Calculator Example

Input Values:

intactModulusEiGpa:45
gsi:60
disturbanceFactor:0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required GPa.

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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