10/12 gable rafter on a 20 ft span
Explore the essentials of gable roof construction, including pitch multipliers, plumb cuts, and considerations for snow load sizing. Learn how to effectively design your roof.
Formula SSC-2026.1
10.00 / 12 · 39.81°
Pitch angle
39.81°
Multiplier 1.3017
Common rafter
14 ft 2 7/8 in
Tail 1 ft 3 5/8 in
Cuts
39.81° plumb
50.19° seat
Roof area
740 ft²
7.40 squares
Shingle bundles
25
3 bundles per square + 10% waste
Sheathing / felt
26 sheets
3 underlayment rolls
Delivery weight
3,030 lb
1,374 kg · 70 lb bundles, 46 lb sheets, 28 lb rolls
Rise and run are scaled from the span, overhang, and pitch. The small triangle is the pitch ratio.
| Item | Net | Waste | Order | Unit price | Line total | Source Spec Material / Tool |
|---|---|---|---|---|---|---|
| Architectural shingle bundles | 7.40 squares | 10% | 25 bundles | USD | $1,050.00 | Source Spec Material / Tool |
| 4x8 CDX sheathing | 23.1 sheets | 10% | 26 sheets | USD | $728.00 | Source Spec Material / Tool |
| Underlayment rolls | 740 ft² | overlap allowance | 3 rolls | USD | $165.00 | Source Spec Material / Tool |
| Ridge cap bundles | 26.0 ft ridge | — | 2 bundles | 25 ft per bundle | — | Source Spec Material / Tool |
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| Pitch | Degrees | Multiplier | Rafter | Squares | Bundles | Sheets |
|---|---|---|---|---|---|---|
| 10.0/12 | 39.81° | 1.302 | 14 ft 2 7/8 in | 7.40 | 25 | 26 |
| 12.0/12 | 45.00° | 1.414 | 15 ft 5 5/8 in | 8.04 | 27 | 28 |
Show the deterministic formula
Angle = arctan(rise ÷ 12). Multiplier = √(1 + (rise ÷ 12)²). Gable run = span ÷ 2 − ridge thickness ÷ 2. Rafter length = (run + horizontal overhang) × multiplier.
Plumb cut = pitch angle. Seat cut = 90° − pitch angle. Area uses both slopes on a gable and one slope on a shed, and it includes a rake overhang equal to the eave overhang.
Bundles = ceiling of squares × 3 × 1.10. Sheets = ceiling of area × 1.10 ÷ 32. Rolls use 360 ft² effective coverage. Delivery weight plans 70 lb per bundle, 46 lb per sheet, and 28 lb per roll, then the header converts that pound total at 1 lb = 0.45359237 kg.
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Project: 10/12 gable rafter on a 20 ft span
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This sheet is an estimate for ordering and layout discussion. It is not a sealed design. Confirm the quantities with a licensed local professional and the authority having jurisdiction before you buy or build.
Engineering notes
A gable roof with a 10/12 pitch means that for every 12 horizontal units, the roof rises 10 vertical units. This pitch can be used to calculate the roof's slope and determine the appropriate materials and structural support needed.
The multiplier for a 10/12 pitch is approximately 1.25, which is used to convert horizontal spans to vertical rises. When making plumb cuts, it’s essential to ensure that the cuts are accurate to maintain the integrity of the roof structure. Additionally, snow load considerations should be factored in based on local building codes, but specific sizing is not provided in this context.
Code reference
Refer to local building codes for specific requirements regarding snow load and structural integrity.
Field questions
- What is a plumb cut in roofing?
- A plumb cut is a cut made at a vertical angle on the rafter, allowing it to fit snugly against the ridge board or peak of the roof.
- How do I calculate the multiplier for a 10/12 pitch?
- To calculate the multiplier for a 10/12 pitch, divide the rise (10) by the run (12), which gives you approximately 1.25. This multiplier can be used for various calculations related to the roof's dimensions.
- Why is snow load not sized in this explanation?
- Snow load sizing is dependent on local climate conditions and building codes, which vary widely. It is important to consult local regulations to determine the appropriate snow load for your specific area.
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