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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
Distance along rafter from wall plate
Angle from horizontal — typically 45°
Distance between struts supporting the purlin
Vertical distance from wall plate to purlin position
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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
Purlin size depends on the clear span between supports (struts, gable walls or partitions) and the load from the rafters above. As a guide from TradeCalculator's own Eurocode 5 (BS EN 1995-1-1, UK National Annex) purlin derivation for C16 timber (purlin at mid-slope supporting rafters of up to 2.5m slope span each side, dead load 0.75 kN/m² on the slope, imposed 0.75 kN/m² on plan, installed plumb, major-axis bending): 47×150mm spans up to 1.32m, 47×175mm up to 1.55m, 75×150mm up to 1.57m, 75×200mm up to 2.12m (the most common domestic purlin), and 75×225mm up to 2.40m between supports. Heavier coverings, wider rafter tributaries or snow beyond the covered allowance all need a specific check. Always confirm the section with a structural engineer for your actual covering, snow load and pitch.
Purlins should be positioned to limit the unsupported rafter span to about 1.8-2.0m. For a 4m rafter run (from wall plate to ridge), one purlin at approximately 1.8m from the wall plate is typical. For longer rafters, add a second purlin. Purlins sit on the face of the rafters and are notched into or bolted to them.
A purlin strut is a diagonal timber that supports the purlin from below, transferring the roof load down to a load-bearing wall or beam. Struts typically run at 45° from the purlin to the supporting wall. They must land on a load-bearing element — never on a non-load-bearing partition. Struts are typically 100×50mm C16 timber.
Yes, steel purlins (Z-purlins or C-purlins) are common in commercial and agricultural buildings. They span further than timber for the same depth. In domestic construction, timber purlins are more common and easier to work with. Steel purlins suit wide spans and heavy cladding systems.
Purlins must be strength-graded structural timber — C16 is the minimum for most applications, C24 for longer spans or heavier loads. The timber must be stamped or certificated as graded. Green (unseasoned) timber can be used but expect some shrinkage. Regularised (planed) timber gives more accurate dimensions for fitting.
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Last updated: March 2026
Verified against UK standards · estimates only, confirm with your supplier.