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.

Description

Crosshead travel includes machine compliance as well as yarn elongation.

Crosshead travel includes machine compliance as well as yarn elongation. Subtracting force-dependent compliance estimates specimen extension.

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

When to use Elongation Percent At Break

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

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 Elongation Percent At Break and understand its results

Prepare cocoon, larval, leaf or reeling measurements on a consistent batch and moisture basis. Use the declared mass, length and time units.
Enter initialGaugeLengthsMm, measuredCrossheadTravelMm, machineComplianceMmPerNewton, breakingForcesNewtons using the field table and calculation rules, then run the tool.
Read complianceCorrectedElongationPercents, meanElongationPercent. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
initialGaugeLengthsMm	Initial gauge lengths mm	list of number	Required
measuredCrossheadTravelMm	Measured crosshead travel mm	list of number	Required
machineComplianceMmPerNewton	Machine compliance mm per newton	number	Required
breakingForcesNewtons	Breaking forces newtons	list of number	Required

Align positive gauge lengths with nonnegative travel and forces and nonnegative compliance. Reject negative corrected extension; return local percentages and their mean.^[1]

Paired lists must be nonempty and have equal lengths.

elongation percent = 100 × (travel − compliance × force)/gauge length

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

Output field	Meaning	Value type
complianceCorrectedElongationPercents	Compliance corrected elongation percents	list of number
meanElongationPercent	Mean elongation percent	number

json

{
  "input": {
    "initialGaugeLengthsMm": [
      100,
      100
    ],
    "measuredCrossheadTravelMm": [
      10,
      20
    ],
    "machineComplianceMmPerNewton": 1,
    "breakingForcesNewtons": [
      2,
      4
    ]
  },
  "output": {
    "complianceCorrectedElongationPercents": [
      8,
      16
    ],
    "meanElongationPercent": 12
  }
}

Limitations and assumptions

Seating and slip not represented by compliance must already be corrected.

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 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. For a complementary task, use Evenness Defects Per KM Counter: Count contiguous thin/thick yarn episodes rather than every sample, normalizing by inspected length and reporting out-of-band length; thresholds are caller method definitions.

References

Elongation Percent At Break — tool.io

Similar or alternative tools

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.
Evenness Defects Per KM Counter
Count contiguous thin/thick yarn episodes rather than every sample, normalizing by inspected length and reporting out-of-band length; thresholds are caller method definitions.