Gambrel Roof Calculator

30 Foot Gambrel Roof Span

Thirty feet is large-garage-with-a-second-floor territory, or a small livestock barn built for stalls below and hay above. It is also where this site's framing logic changes register: the lower rafter is 15.00 ft and the upper is 7.76 ft — real leverage at the knuckle — roughly the span where a basic plywood gusset stops being an automatic choice.

The 30 ft span, solved

Pre-filled at a 30 ft span, half-circle method, 60° lower pitch. Try dropping the lower pitch toward 50° and watch both rafters shorten as the roof flattens, at the cost of headroom.

ft
Wall plate to wall plate.
°
Upper pitch locks to 15.0° automatically — the half-circle method always holds θ − φ = 45°.
ft
Measured along the ridge.
ft
Horizontal, per side.

Cross-section

Lower rafter Upper rafter

Gambrel roof cross-section, half-circle method. Span W 30 ft, total height H 15.00 ft. Lower rafter R1 15.00 ft at 60.0 degrees, upper rafter R2 7.76 ft at 15.0 degrees. θ 60.0° φ 15.0° W = 30.0 ft x₁ = 7.50 x₂ = 7.50 y₁ = 13.0 y₂ = 2.01 H = 15.0 ft R₁ = 15.0 ft R₂ = 7.76 ft Ridge Knuckle
Lower rafter R₁
15.00 ft
15′ 0″ · 60.0° · 20.8:12
Upper rafter R₂
7.76 ft
7′ 9 3/16″ · 15.0° · 3.2:12
Total height H
15.00 ft
15′ 0″ to the ridge
Roof area (both slopes)
990.6 ft²
incl. 1.00 ft overhang
Attic / loft volume
6,147 ft³
307.4 ft² cross-section
Clear floor width
23.07 ft
at 6 ft standing height

Solved with the half-circle (barn) method: the knuckle and ridge sit on a semicircle of radius W ÷ 2 struck from the centre of the wall-plate line, which forces θ − φ = 45° and H = W ÷ 2 for every span.

Numbers at a glance

At a 30 ft span, 60° lower pitch and 15° upper pitch, a 20 ft building length and a 1 ft overhang:

W
30 ft span, wall plate to wall plate.
R₁
15.00 ft lower rafter, 60.0° (20.8:12).
R₂
7.76 ft upper rafter, 15.0° (3.2:12).
H
15.00 ft total height, half the span.
Area
990.6 ft² of roofing, both slopes, 20 ft long with a 1 ft overhang.
Vol.
6,147 ft³ of enclosed loft space.

Clear floor width at 6 ft of standing height: 23.07 ft, and 307.4 ft² of cross-section per foot of building length — this is genuinely second-storey volume, not attic space.

This span's real question

Site-built gusset or engineered connector?

Both options exist at 30 ft; the honest answer depends on load and jurisdiction, not span alone. What changes here is that the question is worth asking in the first place:

Knuckle connection options at 30 ft span
 Site-built plywood gussetEngineered connector
Typical comfort rangeUp to roughly 24–26 ft spanNo practical upper limit
Design basisRule-of-thumb plate size and nailing scheduleEngineered to actual load case
MaterialsExterior plywood, construction adhesive, nailsGalvanized truss plates or bolted steel straps
At 30 ft, our takeWorkable with a documented, load-checked designWorth pricing, often the safer default

Neither column replaces an engineer's sign-off where code requires one — this table is a starting point for that conversation. The truss design tool works out the joint's actual geometry either way.

Worked example: framing this 30 ft truss

  1. Halve the span

    W = 30 ft, so the half-span is 15 ft.

  2. Fix the lower rafter

    At 60°, R₁ = 15.00 ft — just over a 16 ft board.

  3. Fix the upper rafter

    The half-circle rule forces 15°, giving R₂ = 7.76 ft up to the ridge.

  4. Check the height

    y₁ + y₂ = 12.99 + 2.01 = 15.00 ft — exactly W ÷ 2.

  5. Compare to one long rafter

    A single-slope gable rafter to the same ridge height would run 21.21 ft — the two-member gambrel breaks that into two boards a crew can lift.

Practical guidance for a 30 ft garage or barn gambrel

Loft use

Genuine second-storey space

With 23.07 ft of clear width at 6 ft headroom and 6,147 ft³ of volume, plan real floor loading — joists for live load, not just rafters for roof load.

Connections

Get the knuckle load-checked

"We've always built gussets this way" starts to need a load calculation behind it, especially under snow or hay storage above the loft floor.

Lumber buying

Order to the next stock length up

15.00 ft rounds up to a 16 ft board with 6% waste; the upper rafter fits a 8 ft board with room to spare.

Truss spacing

Tighten spacing before adding lumber size

16 in on-centre is a common step here before jumping to larger lumber — check both against your actual snow load case.

30 ft next to its neighbours

24, 30 and 40 ft compared at the same 60°/15° pitch, 20 ft length, 1 ft overhang
SpanR₁R₂HeightVolumeHeadroom width
24 ft span12.00 ft6.21 ft12.00 ft3,934 ft³17.07 ft
30 ft span (this page)15.00 ft7.76 ft15.00 ft6,147 ft³23.07 ft
40 ft span20.00 ft10.35 ft20.00 ft10,928 ft³33.07 ft

30 ft span FAQ

Do I need engineered connectors at a 30 ft gambrel span?

Worth pricing, and worth having the truss design reviewed, even if the final choice is a heavy site-built gusset. At 15.00 ft and 7.76 ft, both rafters carry real leverage at the knuckle — roughly where builders shift from plywood on both faces to galvanized truss plates or bolted steel straps.

What lumber size do I need for a 30 ft gambrel truss?

2×8 or 2×10 stock is typical, sized against actual snow and wind load. The lower rafter needs 15.00 ft, just over a 16 ft board; the upper rafter needs 7.76 ft, comfortably inside an 8 ft board.

How does a 30 ft gambrel compare to one long rafter?

Two members of 15.00 ft and 7.76 ft, against one 21.21 ft rafter for an equivalent-height gable — the traditional barn-framing argument for the shape: two shorter boards are far easier to lift and handle by hand.

How much roofing material does a 30 ft barn need?

990.6 ft² across both slopes for a 30 ft wide, 20 ft long building with a 1 ft overhang. Run that through the metal panel calculator or the build cost breakdown.