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Warping & Sizing

Size Pick-up Percentage Calculator

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Under-sizing costs you ends-down at the loom; over-sizing costs you size, desizing effluent and shed formation.

Oven-dry Weights Laboratory check
g
g
Batch Target and scale
11%
0% 30%
kg

Size Pick-up

— %

Dry size solids as a percentage of unsized yarn

Batch Requirement

Deviation from Target
— %
Size Solids on Warp
— kg
Sized Warp Weight
— kg
Size Added per Sample
— g

Typical pick-up: 8-12% for medium cotton warps, 12-16% for fine or high-sett constructions, under 6% for filament. Check on the beam, not just at the size box.

Using this calculator

About the Size Pick-up Percentage Calculator

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

Size pick-up on a dry basis
sizeAdded = sizedWeight - unsizedWeight pickup = sizeAdded / unsizedWeight x 100

Both weights are oven-dry. Comparing a dry sized sample against a dry unsized one is the only way to measure the size solids rather than the water that came with them.

Solids the beam will consume
sizeSolidsRequired = warpWeight x pickup / 100

Scaling the laboratory percentage to the warp on the beam gives the kilograms of size solids to make up — the number the size kitchen actually needs.

Sized beam weight and control deviation
sizedWarpWeight = warpWeight x (1 + pickup / 100) deviation = pickup - targetPickup

The sized beam weighs more than the yarn on it. Desizing later has to remove exactly this mass, which is why over-sizing is paid for twice.

Symbols used above
SymbolStands forUnit
unsizedWeightUnsized Dry Weightg
sizedWeightSized Dry Weightg
targetPickupTarget Pick-up%
warpWeightUnsized Warp Weightkg
pickupSize Pick-up%
deviationFromTargetDeviation from Target%
sizeSolidsRequiredSize Solids on Warpkg
sizedWarpWeightSized Warp Weightkg
sizeAddedSize Added per Sampleg

How the result is derived

Step by step, from the values you type to the figure on screen.

  1. A sized sample and an unsized sample of the same yarn are dried to constant mass and weighed.
  2. The difference is the size solids deposited on and in the yarn.
  3. Expressing it against the unsized weight gives pick-up, the figure every size recipe is specified in.
  4. The percentage is scaled to the beam to give the solids the size box must deliver, and the sized beam weight that will come off it.
  5. The deviation from target is reported because size pick-up is a control variable, not a measurement to be admired.

What each input means

Where to read each value on the floor, the unit it must be in, and the range the tool accepts.

InputUnitAccepted rangeDefaultWhat it means
Unsized Dry Weightg0.1 to 100000 g100
Sized Dry Weightg0.1 to 100000 g112
Target Pick-up%0 to 30 %11
Unsized Warp Weightkg1 to 100000 kg1500

What the tool returns

The headline figure and every supporting value it is built from.

OutputUnitWhat it tells you
Size Pick-up (headline result)%Dry size solids as a percentage of unsized yarn
Deviation from Target%
Size Solids on Warpkg
Sized Warp Weightkg
Size Added per Sampleg

Worked example

Given

Unsized dry weight
100 g
Sized dry weight
112 g
Target pick-up
11 %
Unsized warp weight
1,500 kg

Substituting

added = 112 - 100 = 12 gpickup = 12 / 100 x 100 = 12.00 %solids = 1,500 x 0.12 = 180 kgbeam = 1,500 x 1.12 = 1,680 kg

Answer

Size pick-up
12.00 %
Size added
12.00 g
Deviation from target
+1.00 point
Size solids required
180.00 kg
Sized warp weight
1,680.00 kg

One point above target on a 1,500 kg warp is 15 kg of extra size solids — bought once in the size kitchen, then removed again at desizing, with the effluent load that implies.

How to use it

  1. Work through the input groups in order — Oven-dry Weights and Batch. The defaults are a realistic case, so you can change one value at a time and watch what moves.
  2. There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
  3. Read Size Pick-up in the dark results panel — that is the headline figure, expressed in %.
  4. Check the supporting rows underneath (Deviation from Target, Size Solids on Warp, Sized Warp Weight and Size Added per Sample) before acting on the headline — they are where an implausible input usually shows itself first.
  5. Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.

Where this is used

  • Sizing control — confirming the size box is delivering the recipe, on the beam rather than in the tank.
  • Recipe make-up — converting a target percentage into the kilograms of solids for the batch.
  • Weaving troubleshooting — under-size shows as warp breaks and hairiness, over-size as shedding, dust and brittle yarn.
  • Desizing and effluent planning — the size that went on must come off, and it arrives at the effluent plant as COD.

Reading the result

Typical bands and what each one is telling you.

ValueWhat it indicates
Under 6%Filament and coarse open constructions.
8% to 12%Medium count cotton warps — the commodity band.
12% to 16%Fine counts and high-sett constructions that need more protection.
Above 18%Check squeeze roller pressure, size viscosity and solids. Beyond this, weaving problems usually get worse rather than better.

Assumptions and limits

  • Typical pick-up: 8-12% for medium cotton warps, 12-16% for fine or high-sett constructions, under 6% for filament. Check on the beam, not just at the size box.
  • Every input is bounded to the range normal practice occupies (Unsized Dry Weight 0.1 to 100000 g, Sized Dry Weight 0.1 to 100000 g and Target Pick-up 0 to 30 %, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
  • The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
  • Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.

Standards and further reading

  • ASTM D3775 and mill practice: size pick-up is quoted on the oven-dry basis unless stated otherwise.
  • ISO 6741-1 — oven drying to constant mass, the method behind both weights.

Questions people ask

Should pick-up be measured wet or dry?

Dry, on both samples. Wet pick-up measures how much liquor the yarn carried out of the box, which depends on squeeze pressure and tells you nothing about the solids left behind. Recipes are written on dry pick-up.

Where should the sized sample be taken?

From the beam, not from the size box. What matters is what survived drying, splitting and winding. Samples taken at the box consistently read high, and the difference is exactly the size that never made it onto the yarn.

What does over-sizing actually cost?

It is paid for three times: the size solids bought, the steam and chemicals used to desize them, and the COD load they add at the effluent plant. On top of that come brittle yarn, shedding at the loom and dust in the shed. Past the pick-up a construction needs, more size buys nothing.

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