Birdsmouth Cut Calculator

Calculate birdsmouth cut dimensions for rafter installation including seat cut depth and plumb cut angle based on roof pitch and rafter size.

SEAT CUT DEPTH
--
Plumb Cut Angle
--
Seat Cut Length
--
Heel Height
--
Rafter Angle
--

What is a Birdsmouth Cut?

A birdsmouth cut (also called a bird's beak) is a notch cut into a rafter where it meets the wall plate (top plate) of a wall. It consists of two cuts: a horizontal seat cut that rests flat on the wall plate, and a vertical plumb cut (heel cut) that sits against the outside edge of the plate. This joint provides a secure connection between the rafter and the wall framing.

The birdsmouth is one of the most critical cuts in roof framing. A properly executed birdsmouth ensures the rafter sits firmly on the wall plate, transfers roof loads effectively into the wall structure, and maintains the correct roof pitch. Building codes typically limit the seat cut depth to no more than one-third of the rafter depth to maintain structural integrity.

Birdsmouth Cut Formulas

Rafter Angle = arctan(Pitch ÷ 12)
Seat Cut Length = Plate Width × cos(Angle)
Seat Cut Depth = Plate Width × sin(Angle) × cos(Angle)
Max Seat Depth = Rafter Depth ÷ 3 (code limit)

Birdsmouth Rules

RuleRequirementReason
Max seat depth1/3 of rafter depthMaintain rafter strength
Min heel height2/3 of rafter depthAdequate bearing
Seat bearingFull plate width contactLoad transfer
Plumb cutVertical when installedProper fit

Cutting Tips

  • Mark the birdsmouth using a framing square with the pitch rise on the tongue and 12 on the blade.
  • Cut the seat cut first with a circular saw, then finish corners with a handsaw.
  • Never exceed the 1/3 depth rule; deeper cuts weaken the rafter at the critical bearing point.
  • Use a pattern rafter to mark all subsequent rafters for consistency.
  • For engineered lumber (I-joists, LVL), birdsmouth cuts are typically prohibited; use manufacturer-approved hangers instead.

Frequently Asked Questions

Can I skip the birdsmouth cut?

Some builders use metal rafter ties or hurricane clips instead of birdsmouth cuts, especially with engineered lumber. However, for dimensional lumber, the birdsmouth provides the best load transfer. Check your local building code for accepted alternatives.

How deep should a birdsmouth be on a 2x6 rafter?

A 2x6 rafter has an actual depth of 5.5 inches. The maximum seat cut depth is 5.5/3 = 1.83 inches. For a standard 6/12 pitch on a 3.5-inch wide plate, the calculated depth is about 1.47 inches, which is within the 1/3 limit.

What is the heel height?

The heel height is the vertical distance from the top of the wall plate to the top edge of the rafter at the birdsmouth location. It must be at least 2/3 of the rafter depth. Greater heel height means more insulation space at the eaves.