Skip to main content

Roof Framing Tools

Birdsmouth Calculator

Calculate the exact notch depth and Height Above Plate (HAP) for your common rafters. Enter the material depth, roof pitch, and horizontal seat length (bearing on the plate) to ensure all rafters sit flat and provide a consistent roof plane.

Birdsmouth Cut Calculator

Estimate HAP and notch depth from pitch, rafter size, and seat length

Results

Enter dimensions above to calculate

Birdsmouth Cut Anatomy

The birdsmouth consists of a level seat cut and a vertical heel (plumb) cut. The leftover vertical material is the HAP (Height Above Plate).

WALL PLATE Rafter Depth (D) SEAT CUT HAP Plumb (Heel) Cut

Step-by-Step Formulas

1. Pitch to Roof Angle

θ = arctan(Rise/Run)

Birdsmouth layout depends on the roof slope. The calculator converts pitch (rise over run) into an angle so it can translate the bearing seat length into a vertical notch depth.

2. Notch Depth from Seat Length

Notch depth (vertical) = Seat length × tan(θ)

The seat cut length (the horizontal bearing on the plate) creates a run. Over that run, the roof rises by the tangent of the pitch angle, which determines the depth of the birdsmouth notch.

3. Height Above Plate (HAP)

HAP = (Rafter depth × cos(θ)) − Notch depth

HAP is the vertical height from the top of the wall plate to the top of the rafter at the outside edge of the wall. Keeping HAP consistent across all rafters ensures a flat roof plane.

4. Notch Depth Rule of Thumb

Notch depth ≤ 1/3 of rafter depth

A common framing rule is to keep the birdsmouth notch shallower than one-third of the rafter depth to avoid weakening the rafter. Always follow local code and structural engineering requirements.

Worked Example

Standard framing: 2×8 rafter (184 mm depth), 6/12 pitch (~26.57°), 100 mm seat length.

Pitch angle θ = arctan(6/12) ≈ 26.57°
Notch depth = 100 mm × tan(26.57°) ≈ 100 × 0.50 ≈ 50 mm
Verification: 50 mm / 184 mm ≈ 27% (Safe, ≤ 33%)
HAP = (184 mm × cos(26.57°)) − 50 mm
HAP = (184 × 0.894) − 50 ≈ 164.5 − 50 = 114.5 mm

💡 Pro tip

When cutting rafters, use a framing square with stair gauges to keep the birdsmouth consistent. Even a 2 mm difference in HAP can create visible dips or bumps in your roof decking. If the HAP is too small, you may need a deeper rafter or a steeper pitch.

Frequently Asked Questions

What is a birdsmouth cut?
A birdsmouth is a notch cut into the bottom of a rafter so it can sit flat on a wall plate. It typically includes a level (seat) cut and a plumb (heel) cut.
How much can I notch a rafter for a birdsmouth?
A common rule of thumb is to limit the birdsmouth notch depth to about one-third of the rafter depth. Requirements vary by jurisdiction and loading; follow local code or an engineer's guidance.
What does HAP mean in roof framing?
HAP stands for Height Above Plate. It is the vertical distance from the top of the wall plate to the top of the rafter at the outside edge of the wall.

Assumptions & Reference Values

This tool returns estimates using the standard engineering formulas and the default waste/coverage/density/yield parameters shown in the calculator inputs and results. Always verify assumptions (material specs, site conditions, and local requirements) against your supplier data and project plans.

In this category

Category link available for this calculator.

Browse all calculators →

Related calculators

  • Explore more tools in the directory.

Related reading

Visit our blog for estimating and material planning tips.

Read the blog →