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Man-Made Fibre

DTY Texturing Output, Doff Cycle & Denier Economics

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See what it looks like

A texturing position costs the same per hour whatever it is running. What changes with denier is how many kilograms come off it.

Yarn Feed count and draw
den
x
m/min
Machine Positions, uptime and package
nos
%
kg
h
cur

Machine Output

— kg/h

At the stated efficiency

Count, Output, Doff & Cost

Textured (DTY) Denier
— den
Textured Count
— dtex
Output per Position
— kg/h
Given Up to Efficiency
— kg/h
Output per Day
— kg
Output per Year
— t
Doff Cycle
— h
Doffs per Position per Day
— nos
Packages per Day
— nos
Cost per Position-Day
— cur
Conversion Cost per Kilogram
— cur/kg

Output here is the count times the speed and nothing else, which is the arithmetic of the winder rather than a promise about the process: it assumes the position is actually running yarn whenever the machine is counted as up, and machine efficiency is doing all the work of representing string-up, breaks, doffing losses and waiting for an operator. Where a mill measures its own efficiency against delivered kilograms, that measured figure belongs in this field rather than a nameplate number. The draw ratio converts feed denier to textured denier by conservation of mass and takes no account of the small length change that texturing itself contributes, so a measured DTY count usually sits a little above the figure here; where the difference matters, enter the measured count as the feed denier with a draw ratio of one. The conversion cost per kilogram is the honest reason to look at this tool twice. It is the position-hour cost divided by output per position, so it rises as denier falls, and it is why the same machine running the same hours can be profitable on one order and not on another. Nothing here prices the yarn or the POY; it prices the conversion only.

Using this calculator

About the DTY Texturing Output, Doff Cycle & Denier Economics

The formula

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

What comes off is finer than what goes in
DTY denier = feed denier / draw ratio

Mass is conserved, so drawing a yarn longer makes it proportionally lighter per unit length. POY 250 den at 1.667 gives DTY 150 den.

Metres per hour times grams per metre
kg/h per position = speed x 60 x (dtex / 10000) / 1000

dtex is grams per ten thousand metres, so 150 den is 166.67 dtex, and 800 m/min of it is 0.8 kg in an hour.

Why fine denier is expensive to convert
conversion cost per kg = position-hour cost / kg per hour per position

The cost of holding a position open does not fall with the count, so halving the denier at the same speed very nearly doubles the conversion cost of every kilogram.

Symbols used above
SymbolStands forUnit
feedDenierFeed (POY) Denierden
drawRatioDraw Ratiox
takeUpSpeedTake-up Speedm/min
positionsPositionsnos
efficiencyMachine Efficiency%
packageMassPackage Mass at Doffkg
hoursPerYearRunning Hours per Yearh
positionHourCostConversion Cost per Position-Hourcur
machineOutputMachine Outputkg/h
dtyDenierTextured (DTY) Denierden
dtyDtexTextured Countdtex
outputPerPositionOutput per Positionkg/h
lostOutputToEfficiencyGiven Up to Efficiencykg/h
dailyOutputOutput per Daykg
annualOutputOutput per Yeart
doffHoursDoff Cycleh
doffsPerPositionDayDoffs per Position per Daynos
packagesPerDayPackages per Daynos
costPerPositionDayCost per Position-Daycur
conversionCostPerKgConversion Cost per Kilogramcur/kg

How the result is derived

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

  1. The 8 inputs are read from the form on every keystroke: Feed (POY) Denier, Draw Ratio, Take-up Speed, Positions, Machine Efficiency, Package Mass at Doff, Running Hours per Year and Conversion Cost per Position-Hour.
  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 Machine Output together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Textured (DTY) Denier, Textured Count, Output per Position, Given Up to Efficiency, Output per Day, Output per Year, Doff Cycle, Doffs per Position per Day, Packages per Day, Cost per Position-Day and Conversion Cost per Kilogram — 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
Feed (POY) Denierden20 to 1200 den250
Draw Ratiox1 to 2.5 x1.667
Take-up Speedm/min100 to 1500 m/min800
Positionsnos12 to 1200 nos576
Machine Efficiency%40 to 100 %95
Package Mass at Doffkg0.5 to 25 kg6.5
Running Hours per Yearh1000 to 8760 h8400
Conversion Cost per Position-Hourcur0.01 to 5 cur0.35

What the tool returns

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

OutputUnitWhat it tells you
Machine Output (headline result)kg/hAt the stated efficiency
Textured (DTY) Denierden
Textured Countdtex
Output per Positionkg/h
Given Up to Efficiencykg/h
Output per Daykg
Output per Yeart
Doff Cycleh
Doffs per Position per Daynos
Packages per Daynos
Cost per Position-Daycur
Conversion Cost per Kilogramcur/kg

Worked example

Given

Feed (POY) Denier
250 den
Draw Ratio
1.667 x
Take-up Speed
800 m/min
Positions
576 nos
Machine Efficiency
95 %
Package Mass at Doff
6.5 kg
Running Hours per Year
8400 h
Conversion Cost per Position-Hour
0.35 cur

The tool loads with this case already solved — the Machine Output shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.

How to use it

  1. Work through the input groups in order — Yarn and Machine. 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 Machine Output in the dark results panel — that is the headline figure, expressed in kg/h.
  4. Check the supporting rows underneath (Textured (DTY) Denier, Textured Count, Output per Position, Given Up to Efficiency, Output per Day, Output per Year, Doff Cycle, Doffs per Position per Day, Packages per Day, Cost per Position-Day and Conversion Cost per Kilogram) 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 Machine Output before a trial is booked, so machine time and material in Polymer Rheology & Synthetic Extrusion are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Machine Output 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 Feed (POY) Denier) shows how much of the gap in Machine Output each variable explains.
  • Teaching and study — the accepted ranges bracket normal Polymer Rheology & Synthetic Extrusion practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

  • Output here is the count times the speed and nothing else, which is the arithmetic of the winder rather than a promise about the process: it assumes the position is actually running yarn whenever the machine is counted as up, and machine efficiency is doing all the work of representing string-up, breaks, doffing losses and waiting for an operator. Where a mill measures its own efficiency against delivered kilograms, that measured figure belongs in this field rather than a nameplate number. The draw ratio converts feed denier to textured denier by conservation of mass and takes no account of the small length change that texturing itself contributes, so a measured DTY count usually sits a little above the figure here; where the difference matters, enter the measured count as the feed denier with a draw ratio of one. The conversion cost per kilogram is the honest reason to look at this tool twice. It is the position-hour cost divided by output per position, so it rises as denier falls, and it is why the same machine running the same hours can be profitable on one order and not on another. Nothing here prices the yarn or the POY; it prices the conversion only.
  • Every input is bounded to the range normal practice occupies (Feed (POY) Denier 20 to 1200 den, Draw Ratio 1 to 2.5 x and Take-up Speed 100 to 1500 m/min, 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.

Questions people ask

What do I need to know before using the DTY Texturing Output, Doff Cycle & Denier Economics?

Have these to hand: Feed (POY) Denier, Draw Ratio, Take-up Speed, Positions, Machine Efficiency, Package Mass at Doff, Running Hours per Year and Conversion Cost per Position-Hour. With those entered, the tool returns Machine Output immediately.

What exactly is Machine Output?

At the stated efficiency. It is reported in kg/h. It is derived from Feed (POY) Denier, Draw Ratio, Take-up Speed, Positions, Machine Efficiency, Package Mass at Doff, Running Hours per Year and Conversion Cost per Position-Hour, and is the figure the rest of the Polymer Rheology & Synthetic Extrusion calculation is built around.

Which units does this calculator expect?

Enter Feed (POY) Denier in den, Draw Ratio in x, Take-up Speed in m/min, Positions in nos, Machine Efficiency in %, Package Mass at Doff in kg, Running Hours per Year in h and Conversion Cost per Position-Hour in cur. Mixing unit systems is the most common cause of a result that looks an order of magnitude wrong — convert before typing, not after reading.

What are the other figures under the main result?

They are the intermediate quantities the calculation passes through: Textured (DTY) Denier, Textured Count, Output per Position, Given Up to Efficiency, Output per Day, Output per Year, Doff Cycle, Doffs per Position per Day, Packages per Day, Cost per Position-Day and Conversion Cost per Kilogram. They are shown because a headline number nobody can trace is a number nobody trusts — checking them against your own expectation is the fastest way to confirm the inputs were read as you intended.

Can I rely on this for a production decision?

Output here is the count times the speed and nothing else, which is the arithmetic of the winder rather than a promise about the process: it assumes the position is actually running yarn whenever the machine is counted as up, and machine efficiency is doing all the work of representing string-up, breaks, doffing losses and waiting for an operator. Where a mill measures its own efficiency against delivered kilograms, that measured figure belongs in this field rather than a nameplate number. The draw ratio converts feed denier to textured denier by conservation of mass and takes no account of the small length change that texturing itself contributes, so a measured DTY count usually sits a little above the figure here; where the difference matters, enter the measured count as the feed denier with a draw ratio of one. The conversion cost per kilogram is the honest reason to look at this tool twice. It is the position-hour cost divided by output per position, so it rises as denier falls, and it is why the same machine running the same hours can be profitable on one order and not on another. Nothing here prices the yarn or the POY; it prices the conversion only. Treat the output as an engineering estimate that narrows the trial window, not as a substitute for the trial.

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