Rafter length calculator — from span, pitch and overhang
Enter the full building span in feet, the pitch as inches of rise per 12 inches of run, and the horizontal overhang. Results assume a symmetric gable with a single common rafter; ridge thickness deduction is not included.
rafter length calculator
- Rafter length
- 14.534ft
- Length (ft-in)
- 14' 6.41"
- Rise at ridge
- 6ft
- Roof angle
- 26.57°
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Formula
pitch factor = √(12² + pitch²) ÷ 12 · rafter = (span ÷ 2 + overhang) × pitch factorSubtract half the ridge board thickness (measured level) from the run for a cut length. Confirm framing with your structural drawings.
Worked examples
| Input | Result |
|---|---|
| 24 ft span, 6/12, 1 ft overhang | 13 × 1.118 = 14.534 ft (14' 6.41") |
| 30 ft span, 4/12, no overhang | 15 × 1.054 = 15.811 ft |
Pitch factor (multiply run)
| Pitch | Factor |
|---|---|
| 3/12 | 1.0308 |
| 4/12 | 1.0541 |
| 5/12 | 1.0833 |
| 6/12 | 1.118 |
| 7/12 | 1.1577 |
| 8/12 | 1.2019 |
| 9/12 | 1.25 |
| 10/12 | 1.3017 |
| 12/12 | 1.4142 |
Questions
How do I calculate rafter length?
Take half the span plus overhang, then multiply by the pitch factor √(12² + rise²) ÷ 12.
What is the pitch factor for 6/12?
√(144 + 36) ÷ 12 = 1.118.
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