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Open Pit Rock Blasting Kuz-Ram Mean Fragment Size X₅₀ Calculator

Easily calculate and compute open pit rock blasting kuz-ram mean fragment size x₅₀ calculator with accurate equations, live formulas, and expert guidance.

Typical hard rock blast powder factor ~0.5 to 0.9 kg/m³.

Lilly rock mass index: soft rock ~5-7, medium ~8-10, hard jointed ~11-14.

ANFO = 100%; Emulsion blends ~105-125%.

Calculated Result
340 mm

Mean Fragment Size (X₅₀)

Mean Fragment Size (X₅₀)

340 mm

Mean Fragment Size X50 Mm

340

Mean Fragment Size Cm

34

Blast Muckpile Fragmentation Class

Coarse Muckpile: Potential oversize boulders requiring secondary hydraulic hammering

340 — mm

Calculation Breakdown

  1. Applied FormulaPredicts the mean rock fragment size X50 produced by open pit production bench blasting using the classic Cunningham Kuz-Ram empirical fragmentation model.X_{50} = A \cdot q^{-0.8} \cdot Q^{1/6} \cdot \left(\frac{115}{\text{RWS}}\right)^{19/30}

Kuz-Ram Blast Fragmentation Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.085170255340Mean Fragment Size (X₅₀)

What Is the Open Pit Rock Blasting Kuz-Ram Mean Fragment Size X₅₀ Calculator?

This tool computes open pit rock blasting kuz-ram mean fragment size x₅₀ calculator with high precision arithmetic.

How Does the Open Pit Rock Blasting Kuz-Ram Mean Fragment Size X₅₀ Calculator Work?

Predicts the mean rock fragment size X50 produced by open pit production bench blasting using the classic Cunningham Kuz-Ram empirical fragmentation model.

Open Pit Rock Blasting Kuz-Ram Mean Fragment Size X₅₀ Calculator Formula & Variables

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

X50=A⋅q−0.8⋅Q1/6⋅(115RWS)19/30X_{50} = A \cdot q^{-0.8} \cdot Q^{1/6} \cdot \left(\frac{115}{\text{RWS}}\right)^{19/30}

Predicts the mean rock fragment size X50 produced by open pit production bench blasting using the classic Cunningham Kuz-Ram empirical fragmentation model.

How to Use the Open Pit Rock Blasting Kuz-Ram Mean Fragment Size X₅₀ Calculator

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

Step-by-Step Example Calculation

Open Pit Rock Blasting Kuz-Ram Mean Fragment Size X₅₀ Calculator Example

Input Values:

powderFactorKgPerM3:0.68
rockMassFactorA:10.5
tntRelativeWeightStrengthPct:115
chargeMassPerHoleKg:180
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

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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