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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

Include collar ties

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

Last updated: March 2026

All calculations are estimates. Verify with your supplier.