Tenacity From Breaking Force

Normalize matched yarn breaking force to cN/tex and audit a caller threshold; force is not fabric strength and method conditioning is external.

Description

Tenacity normalizes yarn breaking force by linear density.

Tenacity normalizes yarn breaking force by linear density. Tex is grams per kilometer, so force in newtons converts to centinewtons before normalization.

Normalize matched yarn breaking force to cN/tex and audit a caller threshold; force is not fabric strength and method conditioning is external.

When to use Tenacity From Breaking Force

Use this tool to normalize matched yarn breaking force to cN/tex and audit a caller threshold; force is not fabric strength and method conditioning is external.

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 Tenacity From Breaking Force 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 breakingForcesNewtons, linearDensitiesTex, callerMinimumTenacityCnPerTex using the field table and calculation rules, then run the tool.
  3. Read tenacitiesCnPerTex, meanTenacityCnPerTex, belowCallerMinimumFlags. 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
breakingForcesNewtonsBreaking forces newtonslist of numberRequired
linearDensitiesTexLinear densities texlist of numberRequired
callerMinimumTenacityCnPerTexCaller minimum tenacity cn per texnumberRequired

Align nonnegative forces with positive tex values. Return individual tenacities, their unweighted mean and flags strictly below a nonnegative caller minimum; equality passes.1

Paired lists must be nonempty and have equal lengths.

tenacity cN/tex = 100 × breaking force N/tex

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

Output fieldMeaningValue type
tenacitiesCnPerTexTenacities cn per texlist of number
meanTenacityCnPerTexMean tenacity cn per texnumber
belowCallerMinimumFlagsBelow caller minimum flagslist of number
json
{
  "input": {
    "breakingForcesNewtons": [
      1,
      2
    ],
    "linearDensitiesTex": [
      10,
      10
    ],
    "callerMinimumTenacityCnPerTex": 15
  },
  "output": {
    "tenacitiesCnPerTex": [
      10,
      20
    ],
    "meanTenacityCnPerTex": 15,
    "belowCallerMinimumFlags": [
      1,
      0
    ]
  }
}

Limitations and assumptions

Test conditioning and method are external; yarn tenacity is not fabric strength.

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 Elongation Percent At Break: Calculate matched yarn elongation at break after supplied machine-compliance correction; crosshead travel must already exclude seating/slip not represented by the compliance model. For a complementary task, use 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.

References

  1. Tenacity From Breaking Force — tool.io

Similar or alternative tools

  • Elongation Percent At Break

    Calculate matched yarn elongation at break after supplied machine-compliance correction; crosshead travel must already exclude seating/slip not represented by the compliance model.

  • 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.

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