Gambrel Roof Calculator

Gambrel Roof Framing Guide and Calculator

Birdsmouth cuts, purlin placement, gusset reinforcement, heel height, and ridge sizing for regular and custom gambrels.

Lower Rafter
12.00 ft
Upper Rafter
6.21 ft
Total Height
12.00 ft
Lower Birdsmouth Seat
6.06 in
Lower Plumb Cut
60 °
Upper Plumb Cut
15 °
Heel Height
8.44 in
Purlin Position
10.39 ft
= knuckle height
Ridge Board
2× (10 in)
Which Joint Should You Pick?
Default to a purlin joint on anything longer than 20 ft. It ties every truss together at the knuckle and carries thrust down the length of the building instead of relying on gussets alone. Save the raised gusset joint for short sheds, garages, or pre-built trusses where a continuous purlin does not fit the plan.

Regular vs Custom Gambrel

Regular gambrels follow the half-circle method and use only one design input: the sweep angle. The upper pitch, knuckle height, total roof height, and rafter lengths are all derived. Custom gambrels let you choose any combination of lower and upper pitch. Pick custom only when a specific upstairs headroom target requires breaking from the 45° rule. Otherwise stick with regular, because every part is easier to source and lay out.

Purlin Joint vs Raised Joint

A purlin joint runs a 2×8 or 2×10 horizontally under the knuckle, the full length of the building. Every rafter pair lands on the purlin, and the purlin transfers thrust longitudinally to the gable end walls. A raised joint relies on plywood gussets fastened to each truss and on collar ties near the ridge to manage thrust per-truss. Purlin joints are stronger for any building longer than 20 ft. Raised joints make sense for short outbuildings, pre-built trusses, or where ceiling space underneath must stay open.

Heel Height and Fascia

Heel height controls fascia depth at the eave. Standard fascia depth is 5½ in (1× nominal). If the calculator returns a heel under 5½ in for your pitch and rafter, rip down a 1×8 fascia or use a 1×6. For heels over 8 in, use a 1×10 fascia or fur the soffit down. The reference birdsmouth calculator gives the exact value.

heel = rafter_depth / cos(pitch) − plate · tan(pitch)

IRC Span Quick Reference

LumberMax Span (2×8 #2 SPF, 16 in oc)Max Span (2×10 #2 SPF, 16 in oc)
Lower rafter, 60° pitch, 30 psf snow14 ft 2 in17 ft 4 in
Lower rafter, 60° pitch, 50 psf snow11 ft 8 in14 ft 4 in
Upper rafter, 25° pitch, 30 psf snow13 ft 6 in16 ft 8 in

Frequently Asked Questions

What is a regular vs custom gambrel?
A regular gambrel uses the half-circle method: upper pitch is exactly 45° less than lower pitch, total height equals W/2. A custom gambrel lets you choose lower and upper pitches independently. Regular is faster to lay out; custom gives finer control over headroom and aesthetics.
Should I use purlins or a raised joint?
Purlins run longitudinally beneath the knuckle and are the traditional barn method: they distribute knuckle thrust to every truss in the building. A raised joint uses plywood gussets on each truss face instead. Purlins are stronger and faster on long buildings; raised joints are simpler for short runs and pre-built trusses.
What size ridge board do I need?
Ridge board depth must equal or exceed the upper rafter cut depth: 2×10 ridge for 2×8 rafters at typical gambrel upper pitches. Ridge width is usually 2× nominal (1½ in actual).
How is heel height set?
Heel height is the vertical distance from wall plate to rafter top edge at the outside of the building. It is controlled by rafter depth and pitch via heel = rafter_depth/cos(pitch) − seat_depth. Increase it by using deeper rafters or by raising the rafter onto a heel block.

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