PlainTools

Gambrel Roof Calculator

Enter the span, the break point and the two pitches and get both rafter lengths, the rise at the break and ridge, the roof area in squares and the gable end area.

Construction & DIYWorldwideSource: Right-triangle roof geometryFree, no sign-up

Level distance from the wall to where the slope changes.

Symmetric gambrel: both sides the same. The result updates as you type.

Gambrel roof

Lower rafter 10' 0-3/4" · upper rafter 8' 11-5/16"

Ridge 12' 0" above the wall plates · 1,216 ft² of roof (12.16 squares)

Lower section: run / rise / angle4 ft / 8' 0" / 63.4°
Upper section: run / rise / angle8 ft / 4' 0" / 26.6°
Lower rafter (incl. tail)10' 0-3/4" (tail 1' 1-7/16")
Upper rafter8' 11-5/16"
Width between the breaks16 ft
Gable end wall area (one end, above the plates)192 ft²

What this page cannot tell you

Rafter sizes, gusset plates, collar ties or whether the frame can carry snow and wind. Gambrel framing puts thrust on the walls at the break; members and connections need design under your building code. Lengths are line lengths before cuts and ridge deductions.

Method: each section is a right triangle — rise = run × pitch ÷ 12, rafter = run × √(144 + pitch²) ÷ 12; roof area = 2 × (rafters + tail) × length. Plain geometry in your browser.

How to calculate a gambrel roof

  1. Enter span and length. The building's width across the walls and its length.
  2. Choose the break point. The level distance from the wall to where the steep lower slope meets the shallow upper slope.
  3. Enter both pitches. Lower (steep) and upper (shallow), as rise per 12 in of run.
  4. Add the overhang. The level eave overhang at the bottom of the lower rafter.
  5. Read the results. Rafter lengths, heights, roof area and gable end area, with a drawing.

10 situations where a gambrel roof calculator helps

Barn-style sheds

Get both rafter lengths before cutting a pattern.

Loft headroom

Move the break point and see the ridge height and width between the breaks.

Ordering roofing

Roof area in squares for shingles or metal.

Siding the gable ends

The gable end area is the wall above the plates on each end.

Comparing with a gable roof

Use alongside the rafter length calculator for a plain gable.

Choosing pitches

Try steeper lower slopes for more loft room.

Checking plans

Verify the rafter lengths on a shed or barn plan.

Mini barns and playhouses

Small spans with the same geometry.

Estimating lumber

Rafter lengths decide which board lengths to buy.

Learning roof geometry

The drawing shows how the two slopes fit together.

How the geometry works

A symmetric gambrel has two slopes on each side. Each slope is a right triangle: its rise is the run × pitch ÷ 12, and its rafter length is the run × √(144 + pitch²) ÷ 12 — the same unit-length method used for common rafters. The lower section runs from the wall to the break point; the upper section runs from the break to the centre of the span. The ridge height is the two rises added together.

Roof area is 2 × (lower rafter + tail + upper rafter) × building length, and a square is 100 ft². The gable end area is the trapezoid under the lower slopes plus the triangle under the upper slopes, for one end.

Limits: lengths are line lengths, before plumb cuts, birdsmouths and any ridge board deduction. The page doesn't size rafters, gussets or collar ties. A gambrel pushes outward at the break and at the walls, so its framing and connections need design under your building code. Everything runs in your browser.

Frequently asked questions

How do I calculate gambrel rafter lengths?

Treat each slope as its own right triangle: rafter = run × √(144 + pitch²) ÷ 12. A 4 ft run at 24/12 is 8.94 ft; an 8 ft run at 6/12 is 8.94 ft too.

What pitches are used on a gambrel roof?

That's a design choice; the lower slope is steep and the upper shallow. The page calculates whatever pitches you enter.

Where should the break be?

Moving the break outward lowers the loft's side walls; inward raises them. Try different runs and watch the height.

How many squares of roofing do I need?

The page shows roof area ÷ 100; add your own allowance for waste, starter and ridge.

Does it include the overhang?

Yes, as a tail on the lower rafter, included in its length and in the roof area.

Can it do an asymmetric gambrel?

No — both sides are assumed to be the same.

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