Engineering Tools

Sieve Particle Size Distribution Analyzer

Transform retained sieve masses into a transparent mass-based cumulative distribution. Exact sieve arithmetic first; percentile interpolation only when explicitly selected.

DeterministicLocal in browserNo standard lookupSIV-1.0.0

SIV-1.0.0M / R / P

r_i=100\frac{m_i}{M}

P_i=100-R_i

Mass-basis sieve distribution

Retained %

r_i=100\frac{m_i}{M}

Passing % by mass

P_i=100-R_i

Enter at least two actual sieve openings, their retained masses and the pan mass. Percentiles are bracket-only unless you explicitly select interpolation.

Mass-basis sieve distribution

SIV-1.0.0

Mass basis - sieve data. All cumulative percentages and D-values use recovered mass.

Recovered mass
Actual sieve openings

D10

D50

D90

Mass-basis sieve span

Mass-basis sieve distribution
Physical opening	Retained mass	Retained %	Cumulative retained %	Passing % by mass

Measured cumulative passing points

Logarithmic opening axis; points are actual sieve openings. The pan is not plotted. The table provides the same measured data.

Displayed digits reflect calculation precision, not the uncertainty of the physical test.

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Methodology & boundaries

Methodology: Sieve Particle Size Distribution Analyzer
Version: SIV-1.0.0
Calculation type: Deterministic
Data source: User-entered values
Processing: Local in browser
External data/API: None
Standard-specific tables: None

Measurement limits

Particle-size percentages are normalized to recovered mass. If an initial test mass is entered, mass closure is reported separately; the calculator does not allocate unaccounted mass among size classes. No universal pass/fail threshold applies.
Sieve-derived size information is method-dependent, especially for irregular or elongated particles. Sieve percentiles are not equivalent to laser-diffraction percentiles. When comparing results, check measurement method, weighting basis, size definition, preparation and interpolation convention.

Linear-size interpolation

D_q=d_1+\alpha(d_2-d_1)

Log-size interpolation

\ln(D_q)=\ln(d_1)+\alpha(\ln(d_2)-\ln(d_1))

α = (q - P₁) / (P₂ - P₁)

Independent calculation tool. Minerallum is not a standards, testing or certification body. Methodological references explain calculation principles and do not mean that this tool implements or certifies compliance with a standard.

Read the sieve-distribution principles →Read the worked example →

Sieve Particle Size Distribution Analyzer

Sieve data

Mass-basis sieve distribution

Mass-basis sieve distribution

Mass closure (optional)