10/12 gable rafter on a 16 ft span
Learn about gable roofs with a 10/12 pitch on a 16 ft span, including key concepts like multiplier, plumb cut, and considerations for snow load sizing.
Formula SSC-2026.1
10.00 / 12 · 39.81°
Pitch angle
39.81°
Multiplier 1.3017
Common rafter
11 ft 7 5/8 in
Tail 1 ft 3 5/8 in
Cuts
39.81° plumb
50.19° seat
Roof area
605 ft²
6.05 squares
Shingle bundles
20
3 bundles per square + 10% waste
Sheathing / felt
21 sheets
2 underlayment rolls
Delivery weight
2,422 lb
1,099 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 | 6.05 squares | 10% | 20 bundles | USD | $840.00 | Source Spec Material / Tool |
| 4x8 CDX sheathing | 18.9 sheets | 10% | 21 sheets | USD | $588.00 | Source Spec Material / Tool |
| Underlayment rolls | 605 ft² | overlap allowance | 2 rolls | USD | $110.00 | 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 | 11 ft 7 5/8 in | 6.05 | 20 | 21 |
| 12.0/12 | 45.00° | 1.414 | 12 ft 7 11/16 in | 6.57 | 22 | 23 |
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 16 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 steep pitch can affect various calculations, including the multiplier used for determining the total roof area and load considerations.
The plumb cut refers to the angle cut made at the top of the rafters, which is crucial for ensuring a proper fit against the ridge board. Understanding these cuts is essential for accurate framing and structural integrity.
Code reference
Consult local building codes for specific requirements regarding roof design and snow load considerations.
Field questions
- What is a multiplier in roofing?
- The multiplier is a factor used to calculate the total area of the roof based on its pitch. For a 10/12 pitch, this multiplier helps in determining the amount of materials needed and the overall load the roof will bear.
- What is a plumb cut?
- A plumb cut is the cut made at the top of a rafter that allows it to sit flush against the ridge board. It is essential for ensuring that the rafters are properly aligned and securely fastened.
- Why is snow load not sized in this context?
- Snow load sizing can vary significantly based on geographical location and specific building codes. In this context, it is important to consult local regulations to determine the appropriate snow load requirements for your gable roof.
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