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Agrotech
Polytunnel & Crop Tunnel Cover: Arch Length, Sheet Size, End Walls, Mass & Hoops
A tunnel 5.5 metres wide is nearly nine metres over the top. The cover is sized by the arch, not the floor.
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 = pi [3(a + b) - sqrt((3a + b)(a + 3b))] / 2, a = W/2, b = HRamanujan's formula for the perimeter of an ellipse, halved. For a round hoop (b = a) it gives exactly pi x a.
coverWidth = arch + 2 x edge; coverLength = length + 2 x endAllowanceEdges buried or battened along both sides; ends gathered past the last hoops.
endWalls = pi x a x bTwo half-ellipses, for ends cut as separate panels.
hoops = ceil(length / spacing) + 1One per bay plus the closing hoop.
| Symbol | Stands for | Unit |
|---|---|---|
lengthM | Tunnel Length | m |
widthM | Width at the Ground | m |
heightM | Ridge Height | m |
hoopSpacingM | Hoop Spacing | m |
edgeCm | Edge Buried or Battened, Each Side | cm |
endAllowanceM | Allowance at Each End | m |
sheetWidthM | Widest Sheet You Can Buy | m |
coverGsm | Cover Weight | g/m² |
coverAreaM2 | Cover Sheet Area | m² |
archM | Arch Length over the Hoops | m |
coverWidthM | Sheet Width Needed | m |
sheetSpareM | Sheet Width Left over (Negative = Too Narrow) | m |
coverLengthM | Sheet Length Needed | m |
endWallsM2 | Both End Walls (If Covered Separately) | m² |
coverKg | Cover Mass | kg |
floorM2 | Floor Area Covered | m² |
hoops | Hoops | hoops |
How the result is derived
Step by step, from the values you type to the figure on screen.
- 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.
- 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 Cover Sheet Area together with every supporting figure in one pass — no value is carried over from a previous entry.
- 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.
- 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 |
|---|---|---|---|---|
| Tunnel Length | m | 1 to 500 m | 30 | |
| Width at the Ground | m | 0.5 to 30 m | 5.5 | |
| Ridge Height | m | 0.3 to 10 m | 2.75 | Half the width for a round (semicircular) hoop; more for a taller, gothic-looking arch. |
| Hoop Spacing | m | 0.3 to 5 m | 1.5 | |
| Edge Buried or Battened, Each Side | cm | 0 to 150 cm | 30 | |
| Allowance at Each End | m | 0 to 15 m | 3 | Cover carried past the end hoops to gather or fix down; zero if the ends are separate panels. |
| Widest Sheet You Can Buy | m | 1 to 40 m | 10 | |
| Cover Weight | g/m² | 5 to 500 g/m² | 70 | From 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.
| Output | Unit | What it tells you |
|---|---|---|
| Cover Sheet Area (headline result) | m² | Arch plus buried edges, times the length plus both end allowances |
| 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 |
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 hoopsAnswer
- 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
- 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.
- 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 Cover Sheet Area in the dark results panel — that is the headline figure, expressed in m².
- 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.
- 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.
| Value | What it indicates |
|---|---|
| Negative sheet width left over | The 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 width | A taller arch than a round hoop; the cover is wider than pi x half the width. |
| Wide hoop spacing | More 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.