Gambrel Roof Calculator
Calculate gambrel roof angles, rafter lengths, roof area, and attic volume using two-pitch or half-circle methods.
What Is a Gambrel Roof Calculator?
A gambrel roof calculator estimates rafter lengths, roof segment areas, total roof area, and attic volume for barn-style roofs with upper and lower pitches. Enter building dimensions, overhangs, roof angles, and lower run length to get instant results for framing and material estimates.
How Gambrel Roof Dimensions Are Calculated
The lower and upper runs must sum to half the building width:
$$ x_2 + x_1 = \frac{W}{2} $$
Rise heights follow from the pitch angles:
$$ y_1 = x_1 \tan(\theta), \quad y_2 = x_2 \tan(\phi) $$
Total roof area includes both segments on both sides of the ridge:
$$ A_T = 2 \times (A_1 + A_2) $$
For roofing material estimates, pair this tool with the Roofing Calculator and Area Calculator.
Frequently Asked Questions
What is a gambrel roof?
A gambrel roof has two slopes on each side: a steeper lower pitch and a shallower upper pitch. This design creates more attic space than a simple gable roof and is common on barns and Dutch Colonial homes.
What is the half-circle method?
In the half-circle method, the gambrel roof fits inside a semicircle whose diameter equals the building width. The lower roof pitch is always 45 degrees greater than the upper pitch.
How do I calculate gambrel roof area?
Calculate each roof segment area as length plus gable overhang times rafter length (including eaves overhang on the lower segment). Multiply the sum of both segments by two for both roof sides.
What angles work for a gambrel roof?
Typical lower pitches range from 50 to 70 degrees and upper pitches from 10 to 25 degrees. The lower run length must be less than half the building width so both segments fit.
How much attic space does a gambrel roof provide?
Gambrel roofs offer significantly more usable attic volume than triangular gable roofs because the lower steep slope creates vertical wall space near the eaves. Use the attic volume result to plan storage or living space.