4/12 gable rafter on a 24 ft span
Explore the essentials of gable roofs with a 4/12 pitch over a 24 ft span. Learn about the multiplier, plumb cut, and considerations for snow load sizing.
Formula SSC-2026.1
4.00 / 12 · 18.43°
Pitch angle
18.43°
Multiplier 1.0541
Common rafter
13 ft 7 5/8 in
Tail 1 ft 5/8 in
Cuts
18.43° plumb
71.57° seat
Roof area
709 ft²
7.09 squares
Shingle bundles
24
3 bundles per square + 10% waste
Sheathing / felt
25 sheets
2 underlayment rolls
Delivery weight
2,886 lb
1,309 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 | 7.09 squares | 10% | 24 bundles | USD | $1,008.00 | Source Spec Material / Tool |
| 4x8 CDX sheathing | 22.2 sheets | 10% | 25 sheets | USD | $700.00 | Source Spec Material / Tool |
| Underlayment rolls | 709 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 |
|---|---|---|---|---|---|---|
| 4.0/12 | 18.43° | 1.054 | 13 ft 7 5/8 in | 7.09 | 24 | 25 |
| 6.0/12 | 26.57° | 1.118 | 14 ft 5 9/16 in | 7.52 | 25 | 26 |
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: 4/12 gable rafter on a 24 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 4/12 pitch means that for every 12 horizontal units, the roof rises 4 vertical units. This ratio is crucial for determining the roof's slope and overall design.
The multiplier is used to calculate the total rise of the roof based on the span and pitch. For a 24 ft span, the rise can be calculated using the pitch ratio, which helps in determining the length of the rafters and the necessary cuts. The plumb cut refers to the cut made at the top of the rafter, which is essential for ensuring a proper fit against the ridge board.
Code reference
Consult local building codes for specific requirements regarding roof design and snow load considerations.
Field questions
- What is a gable roof?
- A gable roof is a type of roof design that features two sloping sides that meet at a peak, forming a triangular shape at each end.
- What does a 4/12 pitch mean?
- A 4/12 pitch indicates that for every 12 horizontal inches, the roof rises 4 inches, resulting in a slope that is relatively gentle.
- How do I calculate the rise for a 24 ft span with a 4/12 pitch?
- To calculate the rise, you can use the formula: Rise = (Span / 2) * (Pitch Rise / Pitch Run). For a 24 ft span, the rise would be 4 ft.
- What is a plumb cut?
- A plumb cut is the cut made at the top of a rafter that allows it to sit vertically against the ridge board, ensuring a secure and stable connection.
- Why is snow load not sized in this context?
- Snow load considerations can vary significantly based on geographic location and specific building codes, so it's essential to consult local regulations for accurate sizing.
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