Denier From Length Weight

Infer filament denier as grams per 9000 meters, returning sample values and length-weighted pooled linear density; redundant denier/tex conversion aliases excluded.

Description

Denier expresses grams per 9000 meters.

Denier expresses grams per 9000 meters. Pooling sample mass and length gives a length-weighted linear density.1

Infer filament denier as grams per 9000 meters, returning sample values and length-weighted pooled linear density; redundant denier/tex conversion aliases excluded.

When to use Denier From Length Weight

Use this tool to infer filament denier as grams per 9000 meters, returning sample values and length-weighted pooled linear density; redundant denier/tex conversion aliases excluded.

Prepare cocoon, larval, leaf or reeling measurements on a consistent batch and moisture basis. Use the declared mass, length and time units.

How to use Denier From Length Weight and understand its results

  1. Prepare cocoon, larval, leaf or reeling measurements on a consistent batch and moisture basis. Use the declared mass, length and time units.
  2. Enter sampleLengthsM, sampleMassesGrams using the field table and calculation rules, then run the tool.
  3. Read sampleDeniers, pooledDenier. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
sampleLengthsMSample lengths mlist of numberRequired
sampleMassesGramsSample masses gramslist of numberRequired

Align nonnegative sample masses with positive lengths. Return individual deniers and 9000 times total mass divided by total length.2

Paired lists must be nonempty and have equal lengths.

denier = 9000 × grams/meters

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
sampleDeniersSample denierslist of number
pooledDenierPooled deniernumber
json
{
  "input": {
    "sampleLengthsM": [
      100,
      200
    ],
    "sampleMassesGrams": [
      0.1,
      0.4
    ]
  },
  "output": {
    "sampleDeniers": [
      9,
      18
    ],
    "pooledDenier": 15
  }
}

Limitations and assumptions

The pooled result is not an unweighted sample mean; conditioning and measurement must be consistent.

Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Filament Length Single Cocoon Meters: Estimate single-cocoon reeled filament lengths from turns/circumference with per-sample measured slip and unrecorded leader correction; distinct from mass/denier linear density. For a complementary task, use Bave Filament Diameter Micron Estimate: Estimate equivalent and elliptical bave envelope diameters from denier, supplied material density and solid-area fraction; cross-section is an assumed model, not measured filament microscopy.

Further background: Silk reeling and testing manual: cocoon filament properties.

References

  1. Silk reeling and testing manual: cocoon filament properties — FAO

  2. Denier From Length Weight — tool.io

Similar or alternative tools

  • Filament Length Single Cocoon Meters

    Estimate single-cocoon reeled filament lengths from turns/circumference with per-sample measured slip and unrecorded leader correction; distinct from mass/denier linear density.

  • Bave Filament Diameter Micron Estimate

    Estimate equivalent and elliptical bave envelope diameters from denier, supplied material density and solid-area fraction; cross-section is an assumed model, not measured filament microscopy.

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