Inputs to result
Horizontal run = (span − ridge thickness in feet) ÷ 2 + horizontal overhang; slope length = horizontal run × √(12² + rise²) ÷ 12; stock estimate = slope length + cut allowance.
Carpentry & Framing
Estimate common rafter slope length and framing stock length from building span, ridge thickness, roof pitch, and horizontal overhang.
Enter full outside span, ridge-board thickness, pitch and horizontal overhang. The result calculates one common rafter's geometric slope length.
Calculation and worked example reviewed 2026-11-12. See our calculation methodology.
15.94 ft horizontal run including overhang.
Not a finished rafter cut length or structural sizing result.
Formula and example
This estimator converts your entered jobsite inputs (outside building span, ridge board thickness, roof rise per 12, horizontal overhang, stock/cut allowance) into consistent US trade units, computes the exact geometric baseline first, and then applies any selected waste or order allowance so you can verify both numbers before purchasing materials.
where:
Horizontal run = (span − ridge thickness in feet) ÷ 2 + horizontal overhang; slope length = horizontal run × √(12² + rise²) ÷ 12; stock estimate = slope length + cut allowance.
For a 30 ft span, 1.5 in ridge, 6:12 pitch and 1 ft horizontal overhang, geometric slope length is about 17.82 ft before cut allowance.
Geometric line length from ridge face to fascia plumb line including a 12 in horizontal overhang.
| Outside Span | 4:12 Pitch | 6:12 Pitch | 8:12 Pitch |
|---|---|---|---|
| 20 ft span | 11.53 ft (12 ft stock) | 12.23 ft (14 ft stock) | 13.15 ft (14 ft stock) |
| 24 ft span | 13.64 ft (14 ft stock) | 14.46 ft (16 ft stock) | 15.55 ft (16 ft stock) |
| 30 ft span | 16.80 ft (18 ft stock) | 17.82 ft (18 ft stock) | 19.15 ft (20 ft stock) |
| 36 ft span | 19.96 ft (20 ft stock) | 21.17 ft (22 ft stock) | 22.76 ft (24 ft stock) |
This is a geometric planning length, not a cut schedule. Birdsmouth, plumb cut, fascia, tail, structural size, span and ridge details require field layout and design checks.
Enter full outside span. The calculator subtracts ridge thickness and divides the remainder in half.
No. Enter horizontal overhang. The pitch factor converts that projection to slope length.