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Carpentry & FramingIRC R802.7.1 Rafter Code Standard

Birdsmouth Cut Calculator

Calculate exact seat cut and heel cut dimensions for roof rafter birdsmouth notches. Validates that the notch depth does not exceed code limits (maximum 1/3 rafter depth) to prevent roof structural failure.

Birdsmouth Cut Calculator Technical Field Standard
Carpentry & Framing Field StandardsIRC R802.7.1 Rafter Code Standard
Engineering formulations calibrated to IPC, UPC & NEC specificationsSub-Zero Cold Climate Tolerances

Quick Summary & Key Answer

To cut a birdsmouth notch on a 6/12 pitch roof with 2x6 rafters on a 2x4 wall plate (3.5" wide), the level seat cut is 3.5 inches long, and the vertical heel cut depth is exactly 1.75 inches. Under IRC R802.7.1, the heel cut must never exceed one-third of the total rafter depth (1.83" max for a 2x6).

  • Heel cut formula: Wall Plate Width × (Pitch Rise ÷ 12)
  • Maximum notch rule: Never exceed 1/3 of the rafter depth (IRC R802.7.1)
  • Standard seat cut length: Equal to the full bearing width of the wall top plate (3.5" for 2x4, 5.5" for 2x6)
  • HAP (Height Above Plate): The remaining vertical meat of the rafter above the wall plate

Interactive Calculator

Adjust inputs for real-time results

Vertical inches of rise for every 12 inches of horizontal run.

Actual dressed lumber dimension of the rafter timber.

Width of the bearing surface where the rafter rests on the top plate.

Calculated OutputPASSED: Compliant with IRC R802.7.1 (Notch ≤ 1/3 rafter depth)

Heel Cut Vertical Depth

1.75Inches
Seat Cut Level Length
3.50 inches (Full bearing)
Roof Slope Pitch Angle
26.6 degrees
Max Permitted Notch Depth
1.83 inches (1/3 limit)
Remaining Rafter Depth
3.93 inches
Rafter Length per Foot of Run
13.42 inches

Note: International Residential Code (IRC) Section R802.7.1 states: Notches on ends of rafters shall not exceed one-fourth the rafter depth. Notches in the exterior bearing portion of the rafter shall not exceed one-third the rafter depth.

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What is a Birdsmouth Cut in Rafter Framing?

A birdsmouth cut is a V-shaped triangular notch cut into the bottom edge of a common roof rafter where it sits atop the exterior wall top plate. The cut consists of two perpendicular incisions:

1. The Seat Cut: The horizontal flat surface that bears down squarely onto the 2x4 or 2x6 top plate.

2. The Heel Cut (or Plum Cut): The vertical cut that runs up flush with the outside face of the exterior wall framing or sheathing.

Alaska Pro-Tip: In Alaska, where design snow loads in Anchorage and Eagle River reach 40 to 60 pounds per square foot (PSF), over-notching a birdsmouth cut can cause rafters to split along the grain under heavy wet snow accumulation.

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IRC Code Limitations on Rafter Notches

The International Residential Code (IRC Section R802.7.1) restricts the size of bearing notches. Cutting away too much lumber severely reduces the shear strength of the rafter at its critical reaction support point.

Never notch deeper than one-third (33.3%) of the actual rafter lumber depth. If your pitch is steep (such as 10/12 or 12/12) and a full 3.5" or 5.5" seat cut results in a heel cut that exceeds the 1/3 limit, you must shorten the seat cut or sister the rafter with Simpson Strong-Tie H-clips or hurricane ties.

Rafter SizeActual DepthMax 1/3 Notch LimitRecommended Wall Bearing
2x4 Rafter3.50 inches1.17 inches2x4 Wall (Low pitch only)
2x6 Rafter5.50 inches1.83 inches2x4 or 2x6 Wall
2x8 Rafter7.25 inches2.42 inches2x4 or 2x6 Wall
2x10 Rafter9.25 inches3.08 inches2x6 Wall (Heavy snow areas)
2x12 Rafter11.25 inches3.75 inches2x6 Wall

Frequently Asked Questions

Common questions regarding this calculation and code compliance

According to IRC R802.7.1, a birdsmouth notch can never exceed one-third of the total depth of the rafter (for example, maximum 1.83 inches on a 2x6, or 2.42 inches on a 2x8).

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