Cut Roof Framing Calculator
Calculate all cut roof components: common rafters, hip rafters, jack rafters, purlins, ridge board and collar ties for gable and hipped roofs.
Gable or hipped configuration
Wall plate to wall plate
Length of the roof along the ridge
Vertical height wall plate to ridge
400mm standard, 600mm for thicker rafters
Horizontal ties connecting rafter pairs
How We Calculate This
This calculator determines all the timber components for a cut (traditional) roof including common rafters, hip rafters, jack rafters, the ridge board, purlins and collar ties.
The formula
Common rafter pairs = (Ridge length ÷ Centres) + 1
Jack rafters per hip = (Half span ÷ Centres - 1) × 2 sides
Ridge (hipped) = Building length - Span
Purlins = Floor(Rafter run ÷ Purlin spacing) × 2 sides
Component sizes (typical)
- Common rafters: 47×100 to 47×175mm at 400mm centres
- Hip rafters: 47×200mm or 47×225mm
- Ridge board: 25×175mm or 25×200mm
- Purlins: 47×150 to 47×200mm
Frequently Asked Questions
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Last updated: March 2026
All calculations are estimates. Verify with your supplier.