Gambrel Roof Calculator

20 Foot Gambrel Roof Truss Calculator

A 20 ft gambrel is the popular pick for one-car garages with usable second-floor loft, small barns, and pool houses. At 20 ft the lower rafter sits comfortably inside 2×8 SPF #2 capacity for snow loads up to 40 psf.

Lower Rafter
10.00 ft
Upper Rafter
5.18 ft
Total Height
10.00 ft
Knuckle Height
8.66 ft
Inner Width
10.00 ft
Attic Volume (20 ft L)
2732 ft³
Roof Area (20 ft L)
712 ft²
Recommended Lumber
2×8 SPF #2

Pre-Calculated Results for 20 ft Span

Sweep AngleLower RafterUpper RafterTotal HeightRoof Area (20 ft L)
45°14.140.0010.00666
60°10.005.1810.00712
67.5°7.657.6510.00718

Loft Conversion Math

Inside the knuckle of a 20 ft gambrel at the standard 60° sweep, the loft floor is about 10 ft wide with 7+ ft of headroom, enough to meet IRC habitable-space rules (R305.1 calls for 7 ft minimum ceiling height) once you add insulation and finished ceiling.

Foundation Options

A 20 ft × 24 ft gambrel can sit on a 16 in × 8 in continuous concrete footing in most US frost zones. Alternatively, eight pier blocks at 8 ft on center under doubled 2×10 beams works for non-conditioned barns and garden offices where there is no slab.

Typical Applications for a 20 ft Gambrel

A 20 ft wide gambrel is sized for single-car garage with loft, small barn. With a 60° sweep angle the lower rafters land at 10.00 ft and upper rafters at 5.18 ft, both within the capacity of 2×8 SPF #2 for typical residential loads at 16 in on center rafter spacing.

Total roof height at the standard 60° sweep is 10.0 ft above the wall plate. Loft floor area inside the knuckle is approximately 10.0 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 20 ft span from memory. Confirm the recommended 2×8 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 20 ft gambrel?
For #2 SPF rafters at 16 in on center with moderate snow load (30 psf), use 2×8 SPF #2. Bump up one size for snow loads over 40 psf.
How tall is a 20 ft gambrel?
Total roof height equals half the building width in the half-circle method: 10.0 ft above the wall plate. Add wall height plus foundation height for total building height.
What is the rafter length for a 20 ft gambrel at 60° sweep?
Lower rafter 10.00 ft, upper rafter 5.18 ft (centerline measurements; subtract plumb and seat offsets for net cut length).

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