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A can is a buffer. Its size sets the doffing labour and whether the drawframe creel starves.
Can Run Time
—min
How long one can lasts at this delivery rate
Draft, Capacity & Doffing Load
Total Draft (Chute to Sliver)
—x
Delivery Rate
—kg/h
Can Capacity
—kg
Sliver Length per Can
—m
Cans Filled per Shift
—
Can Changes
—1/h
Production Lost to Doffing
—%
Can Working Volume
—m3
Can capacity uses the full cylindrical working volume; a real can has a spring base or a fixed bottom plate and the sliver does not fill the extreme corners, so measured capacity runs a few per cent below the geometric figure. Packing density should be measured by weighing a full can rather than taken from a catalogue, since it depends on coiler setting and sliver tension as much as on the fibre. The doffing loss assumes the card stops for the change; automatic can changers overlap the change with running and reduce this to near zero, in which case the interval still matters for labour but not for output. Total draft is nominal, and it takes no account of fibre orientation or of the licker-in and flat waste that leave between feed and delivery - use the card production tool for the waste-corrected output.
Using this calculator
About the Card Sliver Draft, Can Capacity & Change Interval
The formula
This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.
Draft as a ratio of linear densitiestotalDraft = feedKtex / sliverKtex
On a card this is nominal rather than mechanical - the web is condensed into a sliver rather than drafted between roller pairs - but it is the ratio the machine has to achieve and the one a chute-feed variation shows up in.
Metres per minute to kilograms per hourdeliveryRate = deliverySpeed x 60 x sliverKtex / 1000 x efficiency / 100
ktex is grams per metre, so speed multiplied by linear density is grams per minute directly. Efficiency belongs here rather than in the can arithmetic, because a card that stops also stops filling.
Coil volume to kilogramscanCapacity = pi / 4 x canDiameter^2 x canHeight x packingDensity
The can is filled with a coiled sliver whose packing density is set by the coiler geometry and the sliver itself. Packing density is the input worth measuring rather than assuming: it varies by 30% between a well-set coiler and a poor one, and it moves the change interval by the same proportion.
The buffer and what it costs to refillcanRunTime = canCapacity / deliveryRate x 60 doffLoss = changeTime / ( canRunTime + changeTime ) x 100
Run time is inventory over rate. The doffing loss is only material when the interval is short - at three hours a can it rounds to nothing, but a small can on a fast card can put several per cent on the floor.
Symbols used above
Symbol
Stands for
Unit
ktex
Kilotex, grams per metre of sliver
g/m
rho_c
Coil packing density inside the can
kg/m3
D
Total draft between chute feed and delivered sliver
x
How the result is derived
Step by step, from the values you type to the figure on screen.
The 9 inputs are read from the form on every keystroke: Delivery Speed, Delivered Sliver, Chute Feed, Machine Efficiency, Can Diameter, Usable Can Height, Coil Packing Density, Can Change Time and Shift Length.
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.
The validated values are substituted into the expression above, which resolves Can Run Time together with every supporting figure in one pass — no value is carried over from a previous entry.
The supporting outputs — Total Draft (Chute to Sliver), Delivery Rate, Can Capacity, Sliver Length per Can, Cans Filled per Shift, Can Changes, Production Lost to Doffing and Can Working Volume — come from the same pass, so they always describe the same case as the headline figure.
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.
Input
Unit
Accepted range
Default
What it means
Delivery Speed
m/min
20 to 800 m/min
150
Delivered Sliver
ktex
0.5 to 20 ktex
5
ktex is grams per metre
Chute Feed
ktex
10 to 2000 ktex
500
Machine Efficiency
%
20 to 100 %
92
Can Diameter
mm
200 to 1500 mm
1000
Usable Can Height
mm
300 to 1600 mm
1100
Coil Packing Density
kg/m3
40 to 300 kg/m3
130
Can Change Time
min
0.1 to 15 min
1.5
Shift Length
h
1 to 24 h
8
What the tool returns
The headline figure and every supporting value it is built from.
Output
Unit
What it tells you
Can Run Time (headline result)
min
How long one can lasts at this delivery rate
Total Draft (Chute to Sliver)
x
Delivery Rate
kg/h
Can Capacity
kg
Sliver Length per Can
m
Cans Filled per Shift
—
Can Changes
1/h
Production Lost to Doffing
%
Can Working Volume
m3
Worked example
Given
0
Card delivering 150 m/min of 5 ktex sliver at 92% efficiency
1
Chute feed at 500 ktex
2
1000 mm can, 1100 mm usable height, 130 kg/m3 packing
3
1.5 min to change, 8-hour shift
Substituting
deliveryRate = 150 x 60 x 5 / 1000 x 0.92 = 41.4 kg/hcanVolume = pi / 4 x 1.0^2 x 1.1 = 0.8639 m3canCapacity = 0.8639 x 130 = 112.31 kgcanRunTime = 112.31 / 41.4 x 60 = 162.77 minsliverPerCan = 112.31 x 1000 / 5 = 22,462 m
Answer
0
Can run time 162.77 minutes - about two and three quarter hours
1
Total draft exactly 100, delivery 41.4 kg/h
2
Can capacity 112.31 kg holding 22,462 m of sliver
3
2.95 cans per shift, 0.37 changes per hour
4
Doffing costs 0.91% of production
Twenty-two kilometres of sliver in one can is the figure that makes the drawframe creel make sense: a can that lasts nearly three hours on the card lasts a fraction of that at the drawframe, where eight of them feed one delivery.
How to use it
Work through the input groups in order — Delivery & Draft and Can & Doffing. The defaults are a realistic case, so you can change one value at a time and watch what moves.
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.
Read Can Run Time in the dark results panel — that is the headline figure, expressed in min.
Check the supporting rows underneath (Total Draft (Chute to Sliver), Delivery Rate, Can Capacity, Sliver Length per Can, Cans Filled per Shift, Can Changes, Production Lost to Doffing and Can Working Volume) before acting on the headline — they are where an implausible input usually shows itself first.
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 Can Run Time before a trial is booked, so machine time and material in Blowroom, Carding, Drawing & Roving Control are committed against a calculated figure rather than an estimate.
Costing and quotation — Can Run Time 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 Delivery Speed) shows how much of the gap in Can Run Time each variable explains.
Teaching and study — the accepted ranges bracket normal Blowroom, Carding, Drawing & Roving Control 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.
Value
What it indicates
100 - 140 kg/m3
Normal coil packing density for carded cotton sliver.
90 - 110 total draft
Typical chute-to-sliver draft on a modern high-production card.
Under 30 min run time
The can is too small for the delivery rate; doffing will dominate the labour.
Doff loss above 3%
Worth a larger can or an automatic changer before adding a machine.
Assumptions and limits
Can capacity uses the full cylindrical working volume; a real can has a spring base or a fixed bottom plate and the sliver does not fill the extreme corners, so measured capacity runs a few per cent below the geometric figure. Packing density should be measured by weighing a full can rather than taken from a catalogue, since it depends on coiler setting and sliver tension as much as on the fibre. The doffing loss assumes the card stops for the change; automatic can changers overlap the change with running and reduce this to near zero, in which case the interval still matters for labour but not for output. Total draft is nominal, and it takes no account of fibre orientation or of the licker-in and flat waste that leave between feed and delivery - use the card production tool for the waste-corrected output.
Every input is bounded to the range normal practice occupies (Delivery Speed 20 to 800 m/min, Delivered Sliver 0.5 to 20 ktex and Chute Feed 10 to 2000 ktex, 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 2060 / ASTM D1907 - determination of linear density, for the ktex figures.
ASTM D1425 - Unevenness of Textile Strands, the companion measurement on the delivered sliver.
ISO 8115 - Cotton bale dimensions and density, for the upstream material this feeds from.
Questions people ask
Why does packing density vary so much between cards?
Because it is a property of the coiling, not of the fibre. Coiler ratio, can rotation, sliver tension at the trumpet and the coil pattern all change how tightly the sliver lies, and a sliver that is over-tensioned at the coiler packs badly and disturbs on withdrawal. Measure it by weighing a full can rather than taking a nominal value - a 30% error here is a 30% error in the doffing schedule.
The drawframe creel keeps running out even though can run time is nearly three hours. Why?
Because the drawframe consumes what several cards produce. Eight ends at the creel means eight cans emptying simultaneously to feed one delivery, and the drawframe runs at a far higher linear speed than the card. A can that takes 163 minutes to fill can empty in a fraction of that time, so card can run time and drawframe can run time are different calculations with the same can - run this tool twice.
Is a bigger can always better?
It reduces doffing and the loss that goes with it, which is why can sizes have grown. Against that: a large can is heavier to move and needs more floor space and headroom, the sliver at the bottom sits under the weight of everything above it and can flatten enough to disturb at the drawframe, and a fault detected late means more material to quarantine. On a slow card the doffing loss is already under 1%, and there is little left for a larger can to win.
Why is card draft called nominal rather than mechanical?
Because the card does not draft in the drawing-frame sense of attenuating a strand between two roller pairs at different speeds. The web is individualised across the cylinder and flats and then condensed at the doffer and trumpet, so the ratio of linear densities is real as a mass balance but does not correspond to any single mechanical draft. It also says nothing about fibre orientation - a card sliver is poorly oriented by design, which is exactly why drawing exists.