Gambrel Roof Calculator

40 Foot Gambrel Roof Truss Calculator

At 40 ft wide a gambrel is firmly in the agricultural and equestrian category. Stick-framed rafters become impractical; engineered trusses with steel gusset plates or LVL chords are the standard. Total height tops 20 ft, so check local zoning before finalizing wall heights.

Lower Rafter
20.00 ft
Upper Rafter
10.35 ft
Total Height
20.00 ft
Knuckle Height
17.32 ft
Inner Width
20.00 ft
Attic Volume (20 ft L)
10928 ft³
Roof Area (20 ft L)
1380 ft²
Recommended Lumber
2×12 SPF #2 or LVL

Pre-Calculated Results for 40 ft Span

Sweep AngleLower RafterUpper RafterTotal HeightRoof Area (20 ft L)
45°28.280.0020.001289
60°20.0010.3520.001380
67.5°15.3115.3120.001391

Truss Engineering at 40 ft

Pre-engineered 40 ft gambrel trusses ship with 2×10 or 2×12 chords, internal webbing, and 18-gauge steel gusset plates. Truss spacing of 2 ft or 4 ft on center is typical, with purlins added between trusses on wider spacing.

Hay Storage and Riding Arenas

A 40×60 gambrel barn provides roughly 1,200 ft² of loft hay storage, enough for 80–100 round bales depending on bale size. 40×80 covered riding arenas use the wide center aisle, with stalls and tack rooms tucked into the lower-pitch eave area.

Typical Applications for a 40 ft Gambrel

A 40 ft wide gambrel is sized for large agricultural barn, riding arena, equipment storage. With a 60° sweep angle the lower rafters land at 20.00 ft and upper rafters at 10.35 ft, both within the capacity of 2×12 SPF #2 or LVL for typical residential loads at 16 in on center rafter spacing.

Total roof height at the standard 60° sweep is 20.0 ft above the wall plate. Loft floor area inside the knuckle is approximately 20.0 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 40 ft span from memory. Confirm the recommended 2×12 SPF #2 or LVL 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 40 ft gambrel?
For #2 SPF rafters at 16 in on center with moderate snow load (30 psf), use 2×12 SPF #2 or LVL. Bump up one size for snow loads over 40 psf.
How tall is a 40 ft gambrel?
Total roof height equals half the building width in the half-circle method: 20.0 ft above the wall plate. Add wall height plus foundation height for total building height.
What is the rafter length for a 40 ft gambrel at 60° sweep?
Lower rafter 20.00 ft, upper rafter 10.35 ft (centerline measurements; subtract plumb and seat offsets for net cut length).

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