Skip to content

Roof Purlin Calculator

Calculate purlin quantities, indicative size selection from 47×150 to 75×225, and strut positions for cut roof construction.

Building length

Half-span horizontal distance


How We Calculate This

This calculator determines the number of purlins needed based on rafter span and spacing, selects an appropriate purlin size from span tables, and calculates strut quantities and lengths.

The formula

Purlins per side = Rafter run ÷ Purlin spacing on rafter
Total purlins = Purlins per side × 2 (both sides)
Purlin length = Building length
Struts per purlin = ⌈Roof length ÷ Strut spacing⌉ + 1 (minimum 2)
Total struts = Struts per purlin × Total purlins
Strut length = Wall-plate-to-purlin height ÷ sin(strut angle)

Indicative span table (C16)

Maximum clear span between purlin supports, C16 timber. These are TradeCalculator's own calculations to BS EN 1995-1-1 (Eurocode 5) with UK National Annex parameters, cross-checked against published industry tables, for a purlin at mid-slope supporting rafters of up to 2.5m slope span each side (rafters continuous over the purlin), dead load 0.75 kN/m² on the slope, imposed 0.75 kN/m² on plan (covering ground snow load sk up to 0.94 kN/m²), with the purlin installed plumb and loaded in major-axis bending. Deflection is limited to the stricter of span/333 and 12 mm and values are rounded down to 0.01 m. All figures apply to the stated load case only: confirm the section with a structural engineer for your actual covering, snow load and pitch. C24 timber spans further for the same section.

  • 47×150mm: up to 1.32m span
  • 47×175mm: up to 1.55m span
  • 75×150mm: up to 1.57m span
  • 75×200mm: up to 2.12m span (most common domestic purlin)
  • 75×225mm: up to 2.40m span

Frequently Asked Questions

Was this calculator helpful?

Last updated: March 2026

Verified against UK standards · estimates only, confirm with your supplier.