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Polytunnel & Crop Tunnel Cover: Arch Length, Sheet Size, End Walls, Mass & Hoops

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See what it looks like

A tunnel 5.5 metres wide is nearly nine metres over the top. The cover is sized by the arch, not the floor.

Tunnel From the frame
m
m
m

Half the width for a round (semicircular) hoop; more for a taller, gothic-looking arch.

m
Cover From the fitting method and the roll label
cm
m

Cover carried past the end hoops to gather or fix down; zero if the ends are separate panels.

m
g/m²

From the label or data sheet; film sold by thickness has a weight per m² too.

Cover Sheet Area

— m²

Arch plus buried edges, times the length plus both end allowances

Cover & Frame

Arch Length over the Hoops
— m
Sheet Width Needed
— m
Sheet Width Left over (Negative = Too Narrow)
— m
Sheet Length Needed
— m
Both End Walls (If Covered Separately)
— m²
Cover Mass
— kg
Floor Area Covered
— m²
Hoops
— hoops

The arch is taken as half an ellipse standing on the ground: half the width across and the ridge height up, which is a semicircle when the height is half the width. Straight-walled tunnels and gothic arches differ, so measure one hoop with a tape if the frame is not round. Edges, end allowances and the sheet sizes on sale are yours. End walls are counted as half-ellipses for doors or panels cut separately; an end gathered from the main sheet is in the end allowance instead. Cover mass is the main sheet only. **This is a cover take-off; it does not check the frame or the anchoring against wind.**

Using this calculator

About the Polytunnel & Crop Tunnel Cover: Arch Length, Sheet Size, End Walls, Mass & Hoops

The formula

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

Arch length
arch = pi [3(a + b) - sqrt((3a + b)(a + 3b))] / 2, a = W/2, b = H

Ramanujan's formula for the perimeter of an ellipse, halved. For a round hoop (b = a) it gives exactly pi x a.

Sheet size
coverWidth = arch + 2 x edge; coverLength = length + 2 x endAllowance

Edges buried or battened along both sides; ends gathered past the last hoops.

End walls
endWalls = pi x a x b

Two half-ellipses, for ends cut as separate panels.

Hoops
hoops = ceil(length / spacing) + 1

One per bay plus the closing hoop.

Symbols used above
SymbolStands forUnit
lengthMTunnel Lengthm
widthMWidth at the Groundm
heightMRidge Heightm
hoopSpacingMHoop Spacingm
edgeCmEdge Buried or Battened, Each Sidecm
endAllowanceMAllowance at Each Endm
sheetWidthMWidest Sheet You Can Buym
coverGsmCover Weightg/m²
coverAreaM2Cover Sheet Aream²
archMArch Length over the Hoopsm
coverWidthMSheet Width Neededm
sheetSpareMSheet Width Left over (Negative = Too Narrow)m
coverLengthMSheet Length Neededm
endWallsM2Both End Walls (If Covered Separately)m²
coverKgCover Masskg
floorM2Floor Area Coveredm²
hoopsHoopshoops

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: Tunnel Length, Width at the Ground, Ridge Height, Hoop Spacing, Edge Buried or Battened, Each Side, Allowance at Each End, Widest Sheet You Can Buy and Cover 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 Cover Sheet Area together with every supporting figure in one pass — no value is carried over from a previous entry.
  4. The supporting outputs — Arch Length over the Hoops, Sheet Width Needed, Sheet Width Left over (Negative = Too Narrow), Sheet Length Needed, Both End Walls (If Covered Separately), Cover Mass, Floor Area Covered and Hoops — 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
Tunnel Lengthm1 to 500 m30
Width at the Groundm0.5 to 30 m5.5
Ridge Heightm0.3 to 10 m2.75Half the width for a round (semicircular) hoop; more for a taller, gothic-looking arch.
Hoop Spacingm0.3 to 5 m1.5
Edge Buried or Battened, Each Sidecm0 to 150 cm30
Allowance at Each Endm0 to 15 m3Cover carried past the end hoops to gather or fix down; zero if the ends are separate panels.
Widest Sheet You Can Buym1 to 40 m10
Cover Weightg/m²5 to 500 g/m²70From the label or data sheet; film sold by thickness has a weight per m² too.

What the tool returns

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

OutputUnitWhat it tells you
Cover Sheet Area (headline result)m²Arch plus buried edges, times the length plus both end allowances
Arch Length over the Hoopsm
Sheet Width Neededm
Sheet Width Left over (Negative = Too Narrow)m
Sheet Length Neededm
Both End Walls (If Covered Separately)m²
Cover Masskg
Floor Area Coveredm²
Hoopshoops

Worked example

Given

Tunnel
30 m long, 5.5 m wide, 2.75 m high, hoops every 1.5 m
Cover
30 cm edges, 3 m each end, 10 m sheets, 70 g/m²

Substituting

a = 2.75, b = 2.75: a round hoop, arch = pi x 2.75 = 8.639 m8.639 + 2 x 0.30 = 9.239 m wide; 30 + 2 x 3 = 36 m long9.239 x 36 = 332.6 m²; x 70 g = 23.3 kgend walls pi x 2.75 x 2.75 = 23.8 m²; floor 30 x 5.5 = 165 m²30 / 1.5 = 20 bays, 21 hoops

Answer

Arch
8.64 m
Sheet
9.24 x 36 m, 0.76 m spare in a 10 m sheet
Area
332.6 m², 23.3 kg
Hoops
21

The floor is 165 m². The cover is twice that, before the ends.

How to use it

  1. Work through the input groups in order — Tunnel and Cover. 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 Cover Sheet Area in the dark results panel — that is the headline figure, expressed in m².
  4. Check the supporting rows underneath (Arch Length over the Hoops, Sheet Width Needed, Sheet Width Left over (Negative = Too Narrow), Sheet Length Needed, Both End Walls (If Covered Separately), Cover Mass, Floor Area Covered and Hoops) 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 Cover Sheet Area before a trial is booked, so machine time and material in Agrotextiles & Environmental Shielding are committed against a calculated figure rather than an estimate.
  • Costing and quotation — Cover Sheet Area 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 Tunnel Length) shows how much of the gap in Cover Sheet Area each variable explains.
  • Teaching and study — the accepted ranges bracket normal Agrotextiles & Environmental Shielding 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
Negative sheet width left overThe widest sheet will not reach the ground on both sides with the edges you want. Buy wider, shorten the buried edge if the fixing allows, or join two widths.
Ridge height above half the widthA taller arch than a round hoop; the cover is wider than pi x half the width.
Wide hoop spacingMore cover between hoops to flap and more load on each. The frame maker sets the spacing for wind and snow.

Assumptions and limits

  • The arch is taken as half an ellipse standing on the ground: half the width across and the ridge height up, which is a semicircle when the height is half the width. Straight-walled tunnels and gothic arches differ, so measure one hoop with a tape if the frame is not round. Edges, end allowances and the sheet sizes on sale are yours. End walls are counted as half-ellipses for doors or panels cut separately; an end gathered from the main sheet is in the end allowance instead. Cover mass is the main sheet only. **This is a cover take-off; it does not check the frame or the anchoring against wind.**
  • Every input is bounded to the range normal practice occupies (Tunnel Length 1 to 500 m, Width at the Ground 0.5 to 30 m and Ridge Height 0.3 to 10 m, 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 cover maker's data: weight per square metre or thickness, light or shade figures, mesh for insect nets, and UV life.
  • The tunnel frame maker's instructions for hoop spacing, anchoring and how the cover is fixed.

Questions people ask

Why is the cover so much wider than the tunnel?

It goes up one side, over the top and down the other. For a round hoop that is pi times half the width, about 1.57 times the width, before the edges.

My tunnel has straight sides. Does this work?

Not exactly: the tool assumes a curved hoop from the ground. Measure over one hoop with a tape and use that as the arch instead.

Should the ends come from the same sheet?

Either works. Gathered ends need the end allowance on the main sheet; separate end panels need the end-wall area cut from another piece.

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