7/12 gable rafter on a 20 ft span
Learn about gable roof construction, including the 7/12 pitch, plumb cuts, and the importance of snow load considerations. Get insights into multipliers and design factors.
Formula SSC-2026.1
7.00 / 12 · 30.26°
Pitch angle
30.26°
Multiplier 1.1577
Common rafter
12 ft 7 15/16 in
Tail 1 ft 1 7/8 in
Cuts
30.26° plumb
59.74° seat
Roof area
658 ft²
6.58 squares
Shingle bundles
22
3 bundles per square + 10% waste
Sheathing / felt
23 sheets
2 underlayment rolls
Delivery weight
2,654 lb
1,204 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 | 6.58 squares | 10% | 22 bundles | USD | $924.00 | Source Spec Material / Tool |
| 4x8 CDX sheathing | 20.6 sheets | 10% | 23 sheets | USD | $644.00 | Source Spec Material / Tool |
| Underlayment rolls | 658 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 |
|---|---|---|---|---|---|---|
| 7.0/12 | 30.26° | 1.158 | 12 ft 7 15/16 in | 6.58 | 22 | 23 |
| 9.0/12 | 36.87° | 1.250 | 13 ft 8 1/16 in | 7.11 | 24 | 25 |
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: 7/12 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 7/12 pitch indicates that for every 12 horizontal inches, the roof rises 7 inches. This slope is essential for effective water drainage and can influence the overall structural integrity of the roof.
The multiplier is a factor used to calculate the total rise of the roof based on the span and pitch. For a 20 ft span, the rise can be calculated using the multiplier associated with the pitch ratio. Additionally, plumb cuts are critical in framing, as they determine the angle at which rafters meet the ridge board, ensuring a snug fit and proper load distribution.
Code reference
Consult local building codes for specific requirements regarding roof design and snow load considerations.
Field questions
- What is a 7/12 pitch in roofing?
- A 7/12 pitch means that for every 12 horizontal inches, the roof rises 7 inches. This slope is common for gable roofs and aids in water drainage.
- What is a plumb cut?
- A plumb cut is the angle cut on the end of a rafter that allows it to fit flush against the ridge board. It is essential for proper alignment and structural integrity.
- Why is snow load not sized in this context?
- Snow load considerations depend on local climate and building codes. It is important to consult local regulations to determine appropriate snow load requirements for your specific area.
- How do I calculate the rise of a roof with a 7/12 pitch?
- To calculate the rise, use the formula: Rise = (Span/2) * (Pitch/12). For a 20 ft span, the rise would be (20/2) * (7/12) = 7.5 ft.
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