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Gaudin-Schuhmann Particle Size Distribution Calculator

Easily calculate and compute gaudin-schuhmann particle size distribution calculator with accurate equations, live formulas, and expert guidance.

Screen aperture mesh size.

Extrapolated maximum top size parameter k.

Log-log slope parameter (typically 0.5 to 1.0 for crushers and mills).

Calculated Result
28 %

Cumulative Passing

Cumulative Passing

28 %

Cumulative Percent Passing

28

Cumulative Percent Retained

72

Median Size D50 Microns

292.6

28 — %

Calculation Breakdown

  1. Applied FormulaModels cumulative mass percentage passing screen apertures for crushed rock and milled mineral ores using the Gaudin-Schuhmann power-law size distribution.Y(x) = \left(\frac{x}{k}\right)^m, \quad d_{50} = k (0.5)^{1/m}

Gaudin-Schuhmann Distribution Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.07.0142128Cumulative Passing

What Is the Gaudin-Schuhmann Particle Size Distribution Calculator?

This tool computes gaudin-schuhmann particle size distribution calculator with high precision arithmetic.

How Does the Gaudin-Schuhmann Particle Size Distribution Calculator Work?

Models cumulative mass percentage passing screen apertures for crushed rock and milled mineral ores using the Gaudin-Schuhmann power-law size distribution.

Gaudin-Schuhmann Particle Size Distribution Calculator Formula & Variables

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

Y(x)=(xk)m,d50=k(0.5)1/mY(x) = \left(\frac{x}{k}\right)^m, \quad d_{50} = k (0.5)^{1/m}

Models cumulative mass percentage passing screen apertures for crushed rock and milled mineral ores using the Gaudin-Schuhmann power-law size distribution.

How to Use the Gaudin-Schuhmann Particle Size Distribution Calculator

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

Step-by-Step Example Calculation

Gaudin-Schuhmann Particle Size Distribution Calculator Example

Input Values:

particleSizeXMicrons:120.0
sizeModulusKMicrons:850.0
distributionModulusM:0.65
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required %.

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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