Greenhouse Bow Length Calculator for Arc and Takeoff

Bow Arc and Takeoff Planner

🌱 Greenhouse Bow Length Calculator

Estimate circular bow length, radius, arc gain, bow count, and a practical material takeoff for greenhouse frames. The takeoff includes bows, purlins, base rails, endwall framing, stock length, and waste.

GeometryR, c, h, sradius, chord, rise, arc
Takeoff5 line itemsbows, purlins, rails, ends
Outputs4 result cardslength, count, order, weight
Planning10 presetssmall tunnels to commercial bays
📌Preset Bow Jobs

Pick a common greenhouse layout to seed the calculator. Each preset sets unit system, bow style, span, rise, length, spacing, pipe size, purlin rows, ridge rows, stock length, and waste.

Calculator Inputs
Formula trail: the calculator turns span and rise into radius and arc length, counts bows from length and spacing, adds purlins, base rails, and simplified endwall framing, then applies stock length and waste to reach the final order.

Bow Geometry Output

Enter dimensions to see bow arc length, radius, bow count, total takeoff, and estimated weight.

Bow arc length
0ft
Radius: 0 ft
Bows required
0bows
Actual spacing: 0 ft
Ordered takeoff
0ft
Raw total before waste: 0 ft
Estimated weight
0lb
Stock sticks: 0 x 0 ft
Full Breakdown
Unit systemImperial
Bow style-
Span and rise0 ft x 0 ft
Radius0 ft
Central angle0 rad
Chord length0 ft
Arc gain over chord0 ft
Structure length0 ft
Bow spacing input0 ft
Bow count ruleceil(L / S) + 1
Bay count0
Actual spacing0 ft
Bow lineal footage0 ft
Side purlin footage0 ft
Ridge purlin footage0 ft
Base rail footage0 ft
Endwall frame allowance0 ft
Raw takeoff0 ft
Waste allowance0%
Ordered takeoff0 ft
Selected pipe-
Pipe weight per foot0 lb/ft
Stock length0 ft
Stick count0
Material weight0 lb
Footprint area0 sq ft
📈Reference Specs and Takeoff Tables
Bow mathR = c^2 / 8h + h / 2Circular segment radius
Arc lengths = R x θUse radians for the angle
Bow countceil(L / S) + 1End bows included
Weightft x lb/ftConvert to kg for metric
📐Bow Geometry Reference
Bow style Span x rise Radius Arc length
Low tunnel20 x 412.5 ft23.2 ft
Standard24 x 6.514.9 ft27.9 ft
High tunnel30 x 915.3 ft35.4 ft
Semi-circle36 x 1818 ft56.5 ft
The table above uses round-number examples to show how rise changes radius and arc length. The live calculator always recomputes from your inputs.
🔧Pipe Weight Chart
Pipe profile OD x wall lb/ft kg/m
Weights are calculated from steel density and the tube cross-section, so the chart stays consistent across imperial and metric planning.
📊Takeoff Formula Table
Component Formula Included Notes
Bowsarc x countYesEvery hoop plus ends
Side purlinslength x rows x 2YesBoth sides counted
Ridge purlinslength x rowsYesTop line or top lines
Base railslength x 2YesOne rail on each side
Endwalls2 x (span + 2r)YesConservative frame allowance
Wasteraw x allowanceYesApplied after all parts
Use this as a planning estimate. Final shop drawings, bracing, connectors, and door framing should still be checked against the actual structure design.
📝Common Project Sizes
Project Span x length Bow count Notes
Starter hoop12 x 247 bowsEasy budget build
Market tunnel20 x 4813 bowsGood retail size
High tunnel24 x 9625 bowsMost common row tunnel
Commercial bay40 x 12031 bowsHeavy takeoff
These examples assume tight end bows and a typical four-foot bow spacing. Your live count changes when you change spacing or length.
📋Stock Length Reference
Stock piece Imperial Metric Use
Short stick20 ft6.1 mStarter frames
Common stick24 ft7.3 mMost greenhouse pipe
Long stick30 ft9.1 mFewer splice joints
Extra long40 ft12.2 mCommercial bays
Tip: Keep the rise below half the span for a true circular segment. If you need a taller profile, use a steeper preset and then verify the drawing against your frame plan.
Tip: Add waste after the full takeoff, not before. That keeps the bow count, purlin count, and stock stick estimate aligned with the real frame layout.

When building a hoop house, you must calculate the length of the bow that will comprise the structure. The length of the bows will determine the shape of the hoop house. If the length of the bows are incorrect, the hoop house may sag or not provide enough space for the plant that will be grown within the hoop house.

A hoop house is constructed with curved pipes that determines the growing environment for the plants within an hoop house. A bow is a curved piece of pipe. The span of the bow is the distance from one side of the hoop house to the other side of the hoop house.

How to Calculate Bow Length for a Hoop House

The rise of the bow is the distance from the ground or the knee wall to the highest point of the bow. When building a hoop house, you must decide on the rise of the pipe. A shallow rise use less pipe but provides less headroom within the hoop house.

A rise that is too high than the span of the hoop house may cause the pipe to want to straighten out due to the weight of the plastic. A rise of one-quarter or one-third of the span of the hoop house is generally the best choice for the rise of the pipe. The bows need to be space apart in the hoop house.

Many farm builders places the bows four feet apart. This is the standard distance between bows for row crops. If the bows are placed too close together, there will be excess pipe require to build the hoop house.

If the bows are placed too far apart, the snow may accumulate between the bows. Once you have determined the distance between the bows, you can calculate the number of bows that will be required for the hoop house. The number of bows should always be rounded up so that there will be bows to frame the endwalls and the door of the hoop house.

The purlins will run the length of each bow and connect each bow together. Purlins will help to hold the plastic in place on the hoops and will add to the structural strength of the hoop house. One purlin may be used on each side of the hoop house for light-duty gardening project.

However, more purlin will be needed if the hoop house is to be built in an area that receives alot of wind or if the plastic will be a heavy plastic such as polyethylene plastic. The base rails will anchor the hoop house to the ground. The endwalls will form the entrance to the hoop house.

If the hoop house is to be narrow, thinner pipes will make it easier to move the hoop house to different locations in the garden. For hoop houses that are to be wide and span more than thirty feet, the pipes will need to be thicker so that they can support they’re own weight. The weight of the pipe will impact the labor that is required to build the hoop house and the weight that the trailer will have to support for transport of the hoop house to the garden.

A common mistake in building hoop houses is to not take into account the arc gain of the bows. The arc gain of the bows is the difference in length between the bows when they are straighten and when they are curved. The curved bows are longer than the spans of the bows.

For each span of the hoop house, the bows may be five to twenty percent longer. If the length of the bows is calculated only to cover the spans, there will not be enough bows to create the curve of the bows. A waste allowance of ten to twenty percent should always be added to the length of the bows to account for potential cutting and bending of the bows in the construction of the hoop house.

A formula can be used to calculate the radius of the bows and the arc length of the bows. To calculate the radius, you can take the span of the bow twice and divide the result by eight times the rise. To this result, half of the rise is added.

The arc length is calculated by taking the radius of the bows and multiply it by the central angle in radians. The arc length of the bows will show how long each bow should be. Environmental factors will influence the way in which the hoop house is built.

For example, if the hoop house is to be built on a slope in the garden, the rise of the bows on the low side of the slope may need to be increased so that the hoop house remains even with the remainder of the garden. If the garden is well known for high winds, thick pipes and close proximity between the bows may be necessary for the hoops. Additionally, purlin may be used to prevent the plastic from rattling in the wind.

After calculating each of these variable, a complete list of the materials for the hoop house can be prepared.

Greenhouse Bow Length Calculator for Arc and Takeoff

Leave a Comment