Paper Strength Calculator
Calculate paper strength indices (tensile, tear, burst) from raw test data. Includes breaking length, TEA, and fold endurance estimates.
About this calculator
Raw strength test numbers only mean something once they're normalized against basis weight, because a heavier sheet is naturally stronger just from having more fiber per unit area — that's what this calculator does for tensile (TAPPI T 494), tear (Elmendorf, T 414), and burst (Mullen, T 403) results, each divided by grammage to produce a comparable index. From the tensile index it derives breaking length in kilometers — the theoretical length of a paper strip that would snap under its own hanging weight, a classic papermaking benchmark for relative strength across grades. It also computes Tensile Energy Absorption (TEA), the area under the stress-strain curve up to break, from tensile force and stretch-at-break percentage together — a sheet with high tensile but low stretch can have less TEA (and less toughness) than one with more modest tensile but better elongation.
Fold endurance, expressed as estimated MIT double folds before failure, comes from an empirical log-log relationship combining tensile index and stretch percentage; it's a coarse estimate meant to flag whether a grade is in poor/fair/good/excellent territory, not a substitute for an actual MIT fold tester. The overall strength rating buckets your combined tensile and tear index into four tiers. Keep in mind these are all machine-direction/cross-direction-agnostic simplifications: real paper is anisotropic, and test direction, conditioning humidity, and furnish composition all shift the actual numbers you'd get in a physical test lab.
Inputs
Results
Tensile index (N·m/g)
56.25
Figures current as of 2025. Sources: Technical Association of the Pulp and Paper Industry, Test Method TAPPI/ANSI T 494 om-22, Technical Association of the Pulp and Paper Industry, Test Method TAPPI/ANSI T 414 om-25, Technical Association of the Pulp and Paper Industry, Test Method TAPPI/ANSI T 403 om-22
How to Use This Calculator
- Enter the paper basis weight (GSM) of the sample you tested.
- Input tensile strength (kN/m), tear strength (mN), and burst strength (kPa) from lab results.
- Enter stretch at break (%) from the tensile test.
- Review normalized Tensile Index, Tear Index, Burst Index, and Breaking Length (km).
- Use Strength Rating (Poor/Fair/Good/Excellent) and Fold Endurance for quality classification.
How the result changes with Basis weight (GSM)
| Basis weight (GSM) | Tensile index (N·m/g) |
|---|---|
| 40 | 112.5 |
| 60 | 75 |
| 120 | 37.5 |
| 200 | 22.5 |
What each input means
- Basis weight (GSM)
- Paper grammage in grams per square meter.
- Tensile strength (kN/m)
- Tensile breaking force per unit width (TAPPI T 494).
- Tear strength (mN)
- Elmendorf tear strength in millinewtons (TAPPI T 414).
- Burst strength (kPa)
- Mullen burst strength in kilopascals (TAPPI T 403).
- Stretch at break (%)
- Elongation at break as a percentage.
What each result means
- Tensile index (N·m/g)
- Tensile strength normalized by grammage.
- Tear index (mN·m²/g)
- Tear strength normalized by grammage.
- Burst index (kPa·m²/g)
- Burst strength normalized by grammage.
- Breaking length (km)
- Length of paper strip that would break under its own weight.
- TEA index (J/g)
- Tensile Energy Absorption per unit grammage.
- Fold endurance (est.)
- Estimated MIT double folds before failure.
- Strength rating
- 0 = Poor, 1 = Fair, 2 = Good, 3 = Excellent.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersBasis weight (GSM) = 80, Tensile strength (kN/m) = 4.5, Tear strength (mN) = 800, Burst strength (kPa) = 280 = 5 input(s) provided
- Calculate Tensile indexTensile index = (tensileKNPerM * 1000) / basisWeightGSM56.25 = 56.25
- Calculate Tear indexTear index = tearMN / basisWeightGSM10 = 10
- Calculate Burst indexBurst index = burstKPa / basisWeightGSM3.5 = 3.5
Figures and sources
- TAPPI/ANSI T 494 — Tensile properties of paper and paperboard (constant rate of elongation apparatus) (2022) — Technical Association of the Pulp and Paper Industry, Test Method TAPPI/ANSI T 494 om-22
- TAPPI/ANSI T 414 — Internal tearing resistance of paper (Elmendorf-type method) (2025) — Technical Association of the Pulp and Paper Industry, Test Method TAPPI/ANSI T 414 om-25
- TAPPI/ANSI T 403 — Bursting strength of paper (Mullen) (2022) — Technical Association of the Pulp and Paper Industry, Test Method TAPPI/ANSI T 403 om-22
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the calculator normalize tensile, tear, and burst strength by basis weight?
A heavier sheet is inherently stronger just because it has more fiber packed into each square meter, so comparing raw tensile, tear, or burst numbers across grades of different weight is misleading. Dividing each raw result by grammage produces tensile index (N·m/g), tear index (mN·m²/g), and burst index (kPa·m²/g) — figures that let you compare fiber quality and furnish independent of how heavy the sheet is.
What does breaking length actually represent?
Breaking length is the theoretical length, in kilometers, of a hanging strip of the paper that would snap under its own weight — the calculator gets it by dividing the tensile index by 9.81 (converting the force-per-grammage relationship into a gravitational breaking point). It's a classic normalized strength benchmark in papermaking that lets mills compare grades without worrying about sample width or exact test geometry.
Why can a sheet with high tensile strength still have low TEA?
Tensile Energy Absorption (TEA) is computed from both tensile force and stretch-at-break percentage together (0.5 × tensile × stretch fraction), so it captures the toughness of the whole stress-strain curve rather than just the peak force. A stiff, high-tensile sheet that breaks at very low elongation absorbs less total energy than a somewhat weaker sheet that stretches further before failing, which is why TEA and tensile index can rank grades differently.
How reliable is the fold endurance estimate compared to an actual MIT tester?
The fold endurance figure comes from an empirical log-log formula (log(folds) ≈ 1.5×log(tensile index) + 2.0×log(stretch%) − 1.0) rather than a physical folding test, so treat it as a coarse indicator of whether a grade sits in poor, fair, good, or excellent territory. Because fold behavior is also sensitive to fiber furnish, test direction, and conditioning humidity that this model doesn't include, an actual MIT double-fold tester result can diverge meaningfully from the estimate.
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