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Rope on a Reel: Reel Capacity, Layers, Turns, Wound Diameter for an Order & Rope Mass

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See what it looks like

A reel holds rope by volume. Double the rope diameter and the same reel holds a quarter of the length.

Reel Measure the reel
mm
mm
mm
mm

Space left between the outer layer and the flange edge so the rope cannot spill over.

Rope & Order From the rope data sheet
mm
%

How full the winding is against the square-wound ideal; check against a reel you have wound.

m
g/m

Reel Capacity

— m

Wound volume divided by the rope's square cell, at the winding efficiency

Reel

Wound Diameter Allowed
— mm
Layers
— layers
Turns per Layer
— turns
Wound Diameter for the Order
— mm
Capacity Left after the Order (Negative = Will Not Fit)
— m
Rope Mass on a Full Reel
— kg
Rope Mass for the Order
— kg

Capacity treats the wound rope as filling square cells one rope diameter on a side across the annulus between the barrel and the allowed wound diameter, then applies your winding efficiency: a neat, tightly wound reel can exceed the square ideal as rope beds into the layer below, a loose one falls short. Layers and turns are the whole numbers of rope diameters that fit radially and across the traverse. The flange, barrel, traverse and freeboard are measured; the efficiency is best set from a reel you have wound and measured. **For a winch or crane drum, the drum design, fleet angle and the rope maker's minimum drum diameter apply; this tool only measures.**

Using this calculator

About the Rope on a Reel: Reel Capacity, Layers, Turns, Wound Diameter for an Order & Rope Mass

The formula

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

Wound diameter allowed
wound = flange - 2 x freeboard

The outer layer stops short of the flange rim by the freeboard.

Capacity
L = pi / 4 x (wound^2 - barrel^2) x traverse / d^2 x efficiency

The wound volume divided by the d x d cell each metre of rope occupies.

Diameter for an order
Dorder = sqrt(4 x L x d^2 / (pi x traverse x efficiency) + barrel^2)

The same relation solved for the outside diameter a given length winds to.

Symbols used above
SymbolStands forUnit
barrelMmBarrel (Core) Diametermm
flangeMmFlange Diametermm
traverseMmTraverse (Inside Width between Flanges)mm
freeboardMmFreeboard below the Flange Rimmm
ropeMmRope Diametermm
efficiencyPctWinding Efficiency%
orderMLength to Wind for an Orderm
ropeGpmRope Weightg/m
capacityMReel Capacitym
woundMmWound Diameter Allowedmm
layersLayerslayers
turnsPerLayerTurns per Layerturns
orderDiameterMmWound Diameter for the Ordermm
orderSpareMCapacity Left after the Order (Negative = Will Not Fit)m
fullReelKgRope Mass on a Full Reelkg
orderKgRope Mass for the Orderkg

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: Barrel (Core) Diameter, Flange Diameter, Traverse (Inside Width between Flanges), Freeboard below the Flange Rim, Rope Diameter, Winding Efficiency, Length to Wind for an Order and Rope Weight.
  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 Reel Capacity together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Wound Diameter Allowed, Layers, Turns per Layer, Wound Diameter for the Order, Capacity Left after the Order (Negative = Will Not Fit), Rope Mass on a Full Reel and Rope Mass for the Order — 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
Barrel (Core) Diametermm20 to 3000 mm250
Flange Diametermm50 to 5000 mm600
Traverse (Inside Width between Flanges)mm10 to 5000 mm400
Freeboard below the Flange Rimmm0 to 500 mm25Space left between the outer layer and the flange edge so the rope cannot spill over.
Rope Diametermm1 to 200 mm12
Winding Efficiency%50 to 120 %95How full the winding is against the square-wound ideal; check against a reel you have wound.
Length to Wind for an Orderm1 to 100000 m220
Rope Weightg/m1 to 50000 g/m90

What the tool returns

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

OutputUnitWhat it tells you
Reel Capacity (headline result)mWound volume divided by the rope's square cell, at the winding efficiency
Wound Diameter Allowedmm
Layerslayers
Turns per Layerturns
Wound Diameter for the Ordermm
Capacity Left after the Order (Negative = Will Not Fit)m
Rope Mass on a Full Reelkg
Rope Mass for the Orderkg

Worked example

Given

Reel
250 mm barrel, 600 mm flange, 400 mm traverse, 25 mm freeboard
Rope
12 mm, 95% winding efficiency, 90 g/m
Order
220 m

Substituting

wound 600 - 2 x 25 = 550 mmpi / 4 x (550² - 250²) x 400 / 12² = 0.7854 x 240,000 x 400 / 144 = 523.6 m; x 0.95 = 497.4 mlayers (550 - 250) / 24 = 12.5, so 12; turns 400 / 12 = 33.3, so 33order: sqrt(4 x 220,000 x 144 / (pi x 400 x 0.95) + 250²) = 410.7 mmmass 497.4 x 90 / 1000 = 44.8 kg; order 220 x 0.09 = 19.8 kg

Answer

Capacity
497 m in 12 layers of 33 turns
Order
winds to 411 mm, 277 m spare
Mass
44.8 kg full, 19.8 kg for the order

The reel holds 497 m of 12 mm rope; of 24 mm rope it would hold a quarter of that, about 124 m.

How to use it

  1. Work through the input groups in order — Reel and Rope & Order. 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 Reel Capacity in the dark results panel — that is the headline figure, expressed in m.
  4. Check the supporting rows underneath (Wound Diameter Allowed, Layers, Turns per Layer, Wound Diameter for the Order, Capacity Left after the Order (Negative = Will Not Fit), Rope Mass on a Full Reel and Rope Mass for the Order) 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 Reel Capacity before a trial is booked, so machine time and material in Cordage, Ropes & Heavy Netting are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Reel Capacity 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 Barrel (Core) Diameter) shows how much of the gap in Reel Capacity each variable explains.
  • Teaching and study — the accepted ranges bracket normal Cordage, Ropes & Heavy Netting 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
Order will not fitUse a larger reel or split the order across two; never wind past the freeboard.
Measured length off a reel differsAdjust the winding efficiency to match it, and the tool will predict that winding style well.
Very few turns per layerA narrow traverse for the rope. Each layer change is a crossover where rope can bed in and be damaged.

Assumptions and limits

  • Capacity treats the wound rope as filling square cells one rope diameter on a side across the annulus between the barrel and the allowed wound diameter, then applies your winding efficiency: a neat, tightly wound reel can exceed the square ideal as rope beds into the layer below, a loose one falls short. Layers and turns are the whole numbers of rope diameters that fit radially and across the traverse. The flange, barrel, traverse and freeboard are measured; the efficiency is best set from a reel you have wound and measured. **For a winch or crane drum, the drum design, fleet angle and the rope maker's minimum drum diameter apply; this tool only measures.**
  • Every input is bounded to the range normal practice occupies (Barrel (Core) Diameter 20 to 3000 mm, Flange Diameter 50 to 5000 mm and Traverse (Inside Width between Flanges) 10 to 5000 mm, 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

  • The rope maker's data sheet: diameter, mass per metre and the minimum bend or drum diameter.
  • For lifting equipment, the crane or winch standard and the drum design, which set fleet angle, freeboard and spooling.

Questions people ask

Why does rope diameter matter so much?

Each metre of rope takes a cell one diameter square across the reel. Double the diameter and the cell is four times larger, so the reel holds a quarter of the length.

What is freeboard for?

It keeps the outer layer below the flange rim so rope cannot slip off the side of the reel when it is moved or unwound.

Can the efficiency be above 100%?

Yes, slightly: a soft rope wound under tension beds into the grooves of the layer below and packs closer than square cells.

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