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Length imperial. Weight lb. Currency USD. Weight uses 1 lb = 0.45359237 kg. Currency converts US-dollar planning prices and does not change volumes, counts, or geometry.

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

Gable truss triangleLive scaled blueprint
Span 20.00 ft + overhangsRise 5 ft 9 9/16 in127.07.0 : 12Rafter 12 ft 7 15/16 in · plumb 30.3° · seat 59.7°

Rise and run are scaled from the span, overhang, and pitch. The small triangle is the pitch ratio.

Bill of materials and shopping list
ItemNetWasteOrderUnit priceLine totalSource Spec Material / Tool
Architectural shingle bundles6.58 squares10%22 bundlesUSD$924.00Source Spec Material / Tool
4x8 CDX sheathing20.6 sheets10%23 sheetsUSD$644.00Source Spec Material / Tool
Underlayment rolls658 ft²overlap allowance2 rollsUSD$110.00Source Spec Material / Tool
Ridge cap bundles26.0 ft ridge—2 bundles25 ft per bundle—Source Spec Material / Tool

Source links open a product search on the Amazon storefront for the selected currency. SiteSpecCalc may earn a commission. The link does not change the quantities above.

Side-by-side pitch comparison
PitchDegreesMultiplierRafterSquaresBundlesSheets
7.0/1230.26°1.15812 ft 7 15/16 in6.582223
9.0/1236.87°1.25013 ft 8 1/16 in7.112425
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.

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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