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ISO 3310-1

Sieve Calibration (ISO 3310-1)

Compliance, inspection and calibration verdicts from measured apertures per ISO 3310-1:2016 Tables 1 and 2.

Calculator

One value per line or separated by spaces/semicolons — comma is the decimal separator. At least 2 measurements.

Theory & method

ISO 3310-1:2016 specifies the technical requirements for test sieves of metal wire cloth. For every nominal aperture size w, Table 2 (20 µm to 900 µm) and Table 1 (1 mm to 125 mm) publish three independent tolerances: +X, the maximum permissible error of any individual aperture; ±Y, the maximum permissible error of the average aperture; and σ₀, the maximum standard deviation of the aperture sizes.

X and Y are defined by the standard's own equations: X = (2·w^0.75/3 + 4·w^0.25) × 0.9 and Y = (w^0.98/27 + 1.6) × 0.9, with w in µm. This calculator's dataset transcribes both tables in full and is unit-tested against those equations, so every tolerance used in the verdict is traceable to the standard. For the 12 largest apertures (≥ 50 mm), the standard itself states that σ₀ "has no physical reality" given the small number of apertures to measure — that check is skipped for those sizes, and the verdict says so explicitly.

The market distinguishes three certification levels. Compliance relies on the manufacturer's conformity of the wire cloth to the table. Inspection and calibration certificates add a statistical statement about the mean aperture, at 99.0% and 99.73% confidence respectively, based on measuring a number of apertures on the actual sieve.

This tool computes the mean and sample standard deviation of your measured apertures and checks them against w ± Y, w + X and σ₀ (when applicable). For inspection and calibration levels it additionally requires the confidence interval of the mean (|mean − w| + K·s/√n, with K = 2.576 or 3.0) to stay within ±Y. The K-factor treatment is a documented approximation of ISO 3310-1 equations 4–7, which are not publicly available; the table checks themselves are exact.

How to use

  1. 01Select the nominal aperture w of the sieve under test (any size of ISO 3310-1 Tables 1 and 2, from 20 µm to 125 mm).
  2. 02Measure individual aperture sizes along the centrelines of the wire cloth (microscope or calibrated projector) and paste the values in µm — one per line or separated by commas. At least 2 values; certificates typically use dozens.
  3. 03Choose the certification level you want to verify: compliance, inspection (99.0%) or calibration (99.73%).
  4. 04Read the verdict: mean, standard deviation and each check (Y, X, σ₀ and, for the higher levels, the confidence interval of the mean).

Frequently asked questions

Which sieves does this calculator cover?

Wire-cloth sieves with nominal apertures from 20 µm to 125 mm — the full range of ISO 3310-1:2016 Tables 1 (1 mm–125 mm) and 2 (20 µm–900 µm), all standard R20/3, R20 and R40/3 designations.

What is the difference between compliance, inspection and calibration?

Compliance means the wire cloth conforms to the table tolerances, without a statistical statement about your specific sieve. Inspection and calibration add a confidence statement about the mean aperture (99.0% and 99.73% respectively), obtained by measuring more apertures on the actual sieve.

Why can a sieve pass compliance but fail inspection?

The inspection test adds the uncertainty of the estimated mean: |mean − w| + K·s/√n must stay within ±Y. A sieve whose mean is inside the tolerance band but with high aperture scatter (large s) or few measurements (small n) can fail the stricter statistical requirement.

Are undersized apertures a defect?

Not by the X criterion: ISO 3310-1 §5.1.1.2 only forbids apertures exceeding w + X. Undersize is controlled indirectly, through the average-aperture tolerance ±Y and the maximum standard deviation σ₀.

Why does the σ₀ check disappear for large sieves?

For the 12 largest Table 1 apertures (125, 112, 106, 100, 90, 80, 75, 71, 63, 56, 53 and 50 mm), ISO 3310-1 itself states that σ₀ has no physical reality, because too few apertures fit across the sieve to compute a meaningful standard deviation. The verdict then relies only on the mean and single-aperture checks.

Normative references

  • ISO 3310-1:2016 — Test sieves — Technical requirements and testing — Part 1: Test sieves of metal wire cloth.
  • ISO 565:1990 — Test sieves — Metal wire cloth, perforated metal plate and electroformed sheet — Nominal sizes of openings.
  • Haver & Boecker — How ISO 3310-1 tolerances affect test sieve construction (technical blog).
  • ASTM E11 — Standard Specification for Woven Wire Test Sieve Cloth and Test Sieves (US counterpart with different tolerance columns).