Roof Truss Calculator (UK)
Free UK roof truss calculator. Size trussed rafters, fink, attic and scissor trusses to BS 5268-3 and BS EN 14250. Member lengths, count and delivered cost in GBP.
Roof Truss Calculator
Estimate truss member lengths, the number of trusses needed for your building, total lumber, and a delivered prefab cost.
Slope factor used: 1.155. Lumber LF is the linear sum of all chords and webs per truss, useful for comparing site-built vs prefab. Add 5–10% for cuts and connectors.
Roof truss calculator — UK trussed rafters
This tool sizes prefabricated trussed rafters for residential and light-commercial roofs in the UK to BS EN 14250 and BS 5268-3. Set your span, pitch in degrees and trussed rafter centres to get:
- Top chord (rafter) length per side
- Bottom chord (ceiling tie) length
- Web member total by truss type — fink, mono-pitch, attic, scissor, queen
- Truss count based on building length and centres
- Total carcassing run in linear metres
- Per-truss and total delivered cost in GBP
Pitch is in degrees throughout, in line with UK construction drawings and BS 5534 specification practice.
How the math works
Trussed rafters are triangulated stress-graded softwood assemblies pressed with metal connector plates (“punched metal plate fasteners” in BS 5268-3 language). The geometry is fully determined by span, pitch and depth.
Top chord. For a symmetric duo-pitch truss, each top chord runs from the wall plate to the apex. With the slope factor f = √(1 + tan²θ) = 1/cos θ, the top chord length is:
topChord = (span / 2) × (1 / cos θ)
For a 9 m span at 30°, that’s 4.5 ÷ cos 30° = 5.20 m per side. The mill orders the carcassing at the next standard length up — typically 6.0 m C24 stress-graded softwood — and trims on the docking saw before plating.
Bottom chord (ceiling tie). Equal to the span plus a small bearing allowance (50 mm typical). Manufacturers leave the chord as one piece up to 9 m, then go to a finger-joint or two-piece splice with a punched metal plate above the splice.
Webs. Internal diagonals depend on truss type. For the standard fink (W) truss, web length total ≈ 0.62 × span. Mono-pitch (half-trusses) ≈ 0.30 × span; scissor ≈ 0.70 × span; attic ≈ 1.10 × span thanks to the vertical side webs that frame the room-in-roof.
Truss count. Count = ceil(building length ÷ centres) + 1. A 12 m long extension at 600 mm centres needs 21 trussed rafters.
Truss types — when to specify which
| Type | Best for | Span limit | Cost vs fink |
|---|---|---|---|
| Fink (W-truss) | Standard semi-detached, terrace | 11 m | 1.00× |
| Mono-pitch | Lean-to extensions, garage roofs | 8 m | 0.80× |
| Queen-post | Period-style cottages, simple barns | 9 m | 0.85× |
| Howe / Pratt | Long-span industrial buildings | 18 m | 1.10× |
| Scissor | Vaulted living rooms (cathedral effect) | 9 m | 1.30× |
| Attic / room-in-roof | Conditioned loft conversions | 9 m | 1.85× |
| Gable spandrel | Gable end with integral wall framing | 11 m | 1.20× |
For long-span Howe and Pratt trusses on agricultural or industrial buildings, you’ll get a custom-engineered quote against BS EN 1990 / BS EN 1995-1-1 (Eurocode 5) rather than the typical-pricing estimate above.
UK pricing — 2026 reference data
Carcassing softwood prices through Q1 2026 have stabilised after the 2022–2024 swings, with Forest Trade Council (FTC) C24 KD averaging £318/m³ for the 47×100 sections that dominate trussed rafter manufacture. Translated to delivered prefab fink trusses on a 60 mile radius, TRA-member yards in the South East and Midlands are quoting £25–£32 per metre of span for residential 25°–45° pitches under 0.6 kN/m² snow.
Worked example (the calculator’s reference test): a 9 m span × 12 m long two-storey extension at 30°, 600 mm centres:
- 21 fink trusses at £28/m × 9 m span = £252 each → £5,300 truss order
- Delivery: included for orders above 15 trusses within 60 mi
- Crane and 3-banksman set day: £450–£700
- Total prefab roof structure: £5,800–£6,000
By comparison, a cut roof using site-cut C24 rafters and a doubled 47×195 ridge runs £2,400 in carcassing + £3,400 in joiners’ labour (3 carpenters × 4 days at £280/day) = £5,800. Material cost is similar; trussed rafters save you most of a week on programme.
UK code and standards
- BS 5268-3:2006 — Code of practice for trussed rafter roofs. The historic UK design code, still used alongside Eurocode 5 (BS EN 1995-1-1) for residential trussed rafters under TRA Technical Handbook 8.
- BS EN 14250:2010+A1:2018 — Timber structures — Product requirements for prefabricated structural members assembled with punched metal plate fasteners. The product standard the truss is CE/UKCA-marked against.
- BS 5534:2014+A2:2018 — Slating and tiling for pitched roofs and vertical cladding — Code of practice. Drives the dead-load design assumption (45–80 kg/m² for plain-tile, 28 kg/m² for concrete interlocking, 18 kg/m² for natural slate at 26°+).
- Approved Document A (Structure), 2013 Edition (incorporating 2024 amendments) — Mandates engineered design for trussed rafters and prohibits field modification without a sealed engineer’s approval.
- Approved Document C (Resistance to moisture) — Ventilation provisions for cold and warm pitched roofs; sets the eaves airway requirements that the heel height must accommodate.
- NHBC Standards 7.2 (and LABC Warranty / Premier) — Guarantee provider technical requirements for trussed rafter roofs in new-build housing. Most are aligned with TRA Technical Handbook 8.
Buying tips
- Get three quotes — TRA membership doesn’t standardise pricing. A 15% spread on a £6,000 order is real money. Members’ directory at tra.org.uk.
- Specify heel height for energy — a 200 mm energy heel lets you maintain 270 mm rockwool over the wall plate with the 25 mm airway BS 5250 wants. Standard 90–125 mm heels force a compromise.
- Order the eaves detail — let the manufacturer cut the rafter tails to your soffit profile. Saves a day of fascia carpentry.
- Confirm CE/UKCA marking — every truss should ship with the design certificate referenced to BS EN 14250 and the project-specific structural pack.
- Crane the load — a one-day Hiab on a 9 m span is £350–£500 in metro areas, and avoids the manual handling assessment that BS 5268-3 expects above 6 m.
Pair with these calculators
- Roof pitch calculator — convert between degrees, ratio and slope factor before you order.
- Roof rafter calculator — sizes individual rafters with snow + dead-load checks against BS 5268-7.5.
- Roof replacement calculator — full re-roof project, including stripping, batten upgrade and labour duration.
Outputs update live as you change inputs. Print the result and pass it to a TRA-member manufacturer for a comparable quotation.