Gambrel Roof Calculator

12 Foot Gambrel Roof Truss Calculator

A 12 ft gambrel is the sweet spot for sheds, garden buildings, and small chicken coops. The short span keeps lumber to 2×6 SPF #2 and the entire roof can be framed with simple bird's-mouth cuts and a single gusset at the knuckle, no engineered trusses required.

Lower Rafter
6.00 ft
Upper Rafter
3.11 ft
Total Height
6.00 ft
Knuckle Height
5.20 ft
Inner Width
6.00 ft
Attic Volume (20 ft L)
984 ft³
Roof Area (20 ft L)
445 ft²
Recommended Lumber
2×6 SPF #2

Pre-Calculated Results for 12 ft Span

Sweep AngleLower RafterUpper RafterTotal HeightRoof Area (20 ft L)
45°8.490.006.00417
60°6.003.116.00445
67.5°4.594.596.00448

Why 12 ft Works for Sheds

At 12 ft wide the loft floor is about 6 ft across at the knuckle, enough for hay, seasonal storage, or a small workshop platform. Total height tops out at 6 ft above the wall plate, which keeps the build under most accessory-structure height limits without a permit in many US jurisdictions.

Material Cost Snapshot

A 12 ft × 16 ft gambrel shed needs roughly 24 rafters, 20 sheets of 7/16 in OSB, and 4 squares of asphalt shingles. At 2024 lumber prices that is around US$1,200–1,600 in materials before fasteners, felt, and trim.

Typical Applications for a 12 ft Gambrel

A 12 ft wide gambrel is sized for shed, garden building, small chicken coop. With a 60° sweep angle the lower rafters land at 6.00 ft and upper rafters at 3.11 ft, both within the capacity of 2×6 SPF #2 for typical residential loads at 16 in on center rafter spacing.

Total roof height at the standard 60° sweep is 6.0 ft above the wall plate. Loft floor area inside the knuckle is approximately 6.0 ft wide and runs the full length of the building, usable for storage, a sleeping loft, or a workshop above the main floor.

Framing Tip
Do not size rafters for a 12 ft span from memory. Confirm the recommended 2×6 SPF #2 above against your actual snow load, since that default assumes a moderate 30 psf ground snow and needs to step up a size for anything heavier. It costs far less to order one size up now than to discover a sag after the roof is sheathed.

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Frequently Asked Questions

What lumber size do I need for a 12 ft gambrel?
For #2 SPF rafters at 16 in on center with moderate snow load (30 psf), use 2×6 SPF #2. Bump up one size for snow loads over 40 psf.
How tall is a 12 ft gambrel?
Total roof height equals half the building width in the half-circle method: 6.0 ft above the wall plate. Add wall height plus foundation height for total building height.
What is the rafter length for a 12 ft gambrel at 60° sweep?
Lower rafter 6.00 ft, upper rafter 3.11 ft (centerline measurements; subtract plumb and seat offsets for net cut length).

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