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Dry sieve gradation worksheet

Summarize retained masses and mass closure for an unsplit dry sieve sample.

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How it works

Summarize retained masses and mass closure for an unsplit dry sieve sample.

Pᵣ = 100m/M₀; Pₚ = 100 − 100Σm/M₀

Unsplit dry samples only; no washing correction, split-fraction scaling, fineness modulus or grading compliance. Openings must decrease strictly. Enter individual retained masses, not cumulative masses. Recovered mass cannot exceed the original mass in this calculation; correct inconsistent measurements. Pan is separate from the sieve rows. Works offline after loading.

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About this tool

Summarize retained masses and mass closure for an unsplit dry sieve sample.

For each sieve, individual retained percent = retained mass / original dry mass × 100. Sum retained masses from the largest opening downward for cumulative retention; passing percent = 100 minus cumulative retained percent. Add the pan to recovered mass. Report original minus recovered mass and its absolute percentage without renormalizing.

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How to use it

Enter your values
Original dry mass · Pan retained mass · Sieve stack
Calculate / generate
Summarize retained masses and mass closure for an unsplit dry sieve sample.
Result
Recovered mass: 990 g Missing mass: 10 g Absolute mass difference: 1 %

Calculation method

For each sieve, individual retained percent = retained mass / original dry mass × 100.
Sum retained masses from the largest opening downward for cumulative retention; passing percent = 100 minus cumulative retained percent.
Add the pan to recovered mass.
Report original minus recovered mass and its absolute percentage without renormalizing.

Pᵣ = 100m/M₀; Pₚ = 100 − 100Σm/M₀

Example scenario

Dry sieve gradation worksheet

Original dry mass: 1000 g
Pan retained mass: 140 g
Sieve stack: Sieve opening: 8, Individual retained mass: 100 Sieve opening: 4, Individual retained mass: 200 Sieve opening: 2, Individual retained mass: 300 Sieve opening: 1, Individual retained mass: 250

Result

Recovered mass: 990 g
Missing mass: 10 g
Absolute mass difference: 1 %

Frequently asked questions

What does this result assume?

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Calculations run on your device. Form inputs are not sent to a server.

Terms and definitions

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Measurement system

The initial choice follows your browser region. Your choice is remembered on this device. Gallons are US gallons. Switching units keeps your numbers unchanged and interprets them in the new unit.

Numbers stay unchanged. Check the new unit and enter the intended measurement, or select an example for that system.

Original dry mass

Dry sample mass before sieving; the denominator remains this value even when mass is missing.

Enter a numerical value for this quantity. Use the unit shown beside this field. g / oz

Minimum: 1e-12 · Maximum: 1000000000000 g

Pan retained mass

Mass below the finest sieve, collected in the pan.

Enter a numerical value for this quantity. Use the unit shown beside this field. g / oz

Minimum: 0 · Maximum: 1000000000000 g

Sieve stack

One row per sieve, ordered from largest to smallest opening.

Enter one item per row; each column describes that item.

Sieve opening

Positive opening dimension, strictly smaller than the preceding row.

Enter a numerical value for this quantity. Use the unit shown beside this field. mm / in

Minimum: 1e-12 · Maximum: 1000000000000 mm

Individual retained mass

Mass retained on this sieve alone, not the cumulative total.

Enter a numerical value for this quantity. Use the unit shown beside this field. g / oz

Minimum: 0 · Maximum: 1000000000000 g