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Stenter Chain Width, Overfeed & Target GSM Solver

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See what it looks like

Narrowing the chain and overfeeding both concentrate the same mass. Only the finish adds any.

Entry & Chain What goes in and how the frame holds it
g/m2
cm
cm
%
Finish & Target What is added and what is wanted
%
g/m2
m/min

Exit Fabric Weight

— g/m2

From the width change, the overfeed and the add-on

Required Setting, Geometry & Output

Overfeed the Target Needs
— %
Current Overfeed Minus Required
— pp
Exit Weight Before the Add-On
— g/m2
Width Change
— %
Length Lost to Overfeed
— %
Production
— kg/h
Fabric Delivered
— m/h
Fabric Fed In
— m/h

The balance assumes mass is conserved apart from the stated finish add-on, so it excludes any weight loss from the drying of residual moisture beyond the finish and any fibre loss from shearing or brushing on the same line. Add-on is dry solids on the weight of the entering fabric; if the recipe is stated as a bath concentration and a wet pickup, convert it first. Width change is treated as uniform across the frame, which ignores the bowing and edge effects a real stenter produces - the delivered width at the centre and at the selvedge differ, and a GSM cut from the centre is not representative. The frame is assumed to hold the set chain width, which a heavily overfed knit will resist.

Using this calculator

About the Stenter Chain Width, Overfeed & Target GSM Solver

The formula

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

Two independent ways to concentrate the same mass
greigeExitGsm = entryGsm x ( entryWidth / chainWidth ) x ( 1 + overfeed / 100 )

Mass per unit length is conserved, so narrowing the width raises the areal weight in inverse proportion, and feeding more fabric than the chain delivers shortens it and raises the weight again. Neither adds any material.

The only term that adds mass
exitGsm = greigeExitGsm x ( 1 + addOnSolids / 100 )

Finish solids are the sole real addition. Everything else on this frame is a redistribution of fabric that was already there, which is why a GSM that only rises with the chain setting is not a finish problem.

The balance inverted
requiredOverfeed = ( targetGsm / ( 1 + addOn / 100 ) / ( entryGsm x widthRatio ) - 1 ) x 100

Solved for the setting rather than the outcome, because the setting is what an operator can change. Overfeed is the free variable here since the chain width is normally fixed by the finished-width specification.

What overfeed costs in metres
lengthContraction = overfeed / ( 100 + overfeed ) x 100

Overfeed is stated against the delivered length, so 6% overfeed means 106 m fed for every 100 m out - a loss of 5.66% of the fed length, not 6%. Dividing by the overfeed factor instead of by one plus it is the standard slip.

Symbols used above
SymbolStands forUnit
overfeedExcess fabric fed over what the chain delivers%
GSMFabric mass per unit areag/m2
ppPercentage points, a difference between two percentagespp

How the result is derived

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

  1. The 7 inputs are read from the form on every keystroke: Entry Fabric Weight, Entry Width, Chain Width Set, Overfeed, Finish Add-On, Target Exit Weight and Line Speed.
  2. Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
  3. The validated values are substituted into the expression above, which resolves Exit Fabric Weight together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Overfeed the Target Needs, Current Overfeed Minus Required, Exit Weight Before the Add-On, Width Change, Length Lost to Overfeed, Production, Fabric Delivered and Fabric Fed In — come from the same pass, so they always describe the same case as the headline figure.
  5. Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.

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
Entry Fabric Weightg/m220 to 1200 g/m2165
Entry Widthcm30 to 500 cm168
Chain Width Setcm30 to 500 cm152
Overfeed%-10 to 40 %6
Finish Add-On%0 to 25 %2.5
Target Exit Weightg/m220 to 1200 g/m2195
Line Speedm/min3 to 150 m/min45

What the tool returns

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

OutputUnitWhat it tells you
Exit Fabric Weight (headline result)g/m2From the width change, the overfeed and the add-on
Overfeed the Target Needs%
Current Overfeed Minus Requiredpp
Exit Weight Before the Add-Ong/m2
Width Change%
Length Lost to Overfeed%
Productionkg/h
Fabric Deliveredm/h
Fabric Fed Inm/h

Worked example

Given

0
165 g/m2 entering at 168 cm, chain set to 152 cm
1
6% overfeed, 2.5% finish add-on
2
Target exit weight 195 g/m2, line speed 45 m/min

Substituting

widthRatio = 168 / 152 = 1.10526greige = 165 x 1.10526 x 1.06 = 193.3105 g/m2exit = 193.3105 x 1.025 = 198.1433 g/m2required = (195 / 1.025 / (165 x 1.10526) - 1) x 100 = 4.3184%contraction = 6 / 106 x 100 = 5.6604%

Answer

0
Exit weight 198.1433 g/m2 - over the 195 target
1
The target needs only 4.3184% overfeed, so the setting is 1.6816 points high
2
193.3105 g/m2 before the add-on
3
Width down 9.5238%, length down 5.6604%
4
813.1801 kg/h from 2,700 m/h out and 2,862 m/h fed in

Most of the weight gain here is not finish. The width change alone lifts 165 to 182.4 g/m2, the overfeed adds another 10.9, and the 2.5% add-on contributes only 4.8. A GSM complaint on this cloth is a chain-width and overfeed conversation, not a recipe one.

How to use it

  1. Work through the input groups in order — Entry & Chain and Finish & Target. 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 Exit Fabric Weight in the dark results panel — that is the headline figure, expressed in g/m2.
  4. Check the supporting rows underneath (Overfeed the Target Needs, Current Overfeed Minus Required, Exit Weight Before the Add-On, Width Change, Length Lost to Overfeed, Production, Fabric Delivered and Fabric Fed In) 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

  • Process planning — establishing Exit Fabric Weight before a trial is booked, so machine time and material in Finishing, Coating, Lamination & Functional Performance are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Exit Fabric Weight is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
  • Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Entry Fabric Weight) shows how much of the gap in Exit Fabric Weight each variable explains.
  • Teaching and study — the accepted ranges bracket normal Finishing, Coating, Lamination & Functional Performance practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Reading the result

Typical bands and what each one is telling you.

ValueWhat it indicates
3 - 8% overfeedNormal working range for woven finishing.
10 - 25% overfeedUsed on knits and where residual shrinkage must be driven low.
Negative overfeedStretching in the length. Raises shrinkage and is normally a fault, not a setting.
Overfeed error within 0.5 ppWell set. The exit weight will land inside a normal GSM tolerance.

Assumptions and limits

  • The balance assumes mass is conserved apart from the stated finish add-on, so it excludes any weight loss from the drying of residual moisture beyond the finish and any fibre loss from shearing or brushing on the same line. Add-on is dry solids on the weight of the entering fabric; if the recipe is stated as a bath concentration and a wet pickup, convert it first. Width change is treated as uniform across the frame, which ignores the bowing and edge effects a real stenter produces - the delivered width at the centre and at the selvedge differ, and a GSM cut from the centre is not representative. The frame is assumed to hold the set chain width, which a heavily overfed knit will resist.
  • Every input is bounded to the range normal practice occupies (Entry Fabric Weight 20 to 1200 g/m2, Entry Width 30 to 500 cm and Chain Width Set 30 to 500 cm, 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

  • ISO 3801 / ASTM D3776 - mass per unit area of fabric, the quantity being controlled.
  • ISO 22198 - Textiles, fabrics, determination of width and length.
  • ISO 5077 - dimensional change in washing and drying, which the overfeed is set against.

Questions people ask

Why does the exit GSM rise when nothing was added?

Because GSM is mass per unit area and the frame changes the area, not the mass. Pulling 168 cm of cloth into a 152 cm chain packs the same warp ends into a narrower width, and overfeeding lets the fabric relax in the length so the same picks occupy less distance. Both raise the mass per square metre without a gram of finish. It is why a GSM specification cannot be met by recipe alone, and why two stenters running the same recipe at different chain widths deliver different cloth.

Overfeed is 6% but the length loss is 5.66%. Which is right?

Both, and the difference is the reference. Overfeed is conventionally stated against the delivered length: 6% overfeed means 106 m are fed for every 100 m that come out. Expressed against the fed length that is a 5.66% loss, because 6 divided by 106 is not 6 divided by 100. It matters when reconciling a batch - a 3,000 m order needs 3,180 m of greige at 6% overfeed, and planning 3,180 as 3,000 plus 6% of 3,000 leaves the order short.

Should the chain width or the overfeed be used to hit a GSM target?

Normally the overfeed, because the chain width is already fixed by the finished-width specification the customer bought. Width is the harder constraint - it is measurable on the delivered roll and non-negotiable - so it is set first and the overfeed is what remains free. If the required overfeed comes out beyond the workable range, the entry cloth is wrong and the answer is upstream in the loom or the knitting machine, not on the frame.

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