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🔺 Roof Truss Calculator

This roof truss calculator works out how many prefabricated roof trusses are needed along a building's length at a chosen on-center spacing, plus each truss's top chord (rafter) length, bottom chord (span) and peak height, from the building length, roof span and pitch. It assumes a simple symmetric gable-style truss.

Son inceleme: 2026-07-07

Understanding truss count and spacing

Spacing choice interacts with the roof sheathing rating and the truss design itself — this calculator counts and dimensions trusses geometrically but does not engineer the truss members or connections.

SpacingTypical characteristics
400 mm (16 in) o.c.More trusses per building length; commonly paired with standard sheathing thicknesses
600 mm (24 in) o.c.Fewer trusses per building length; commonly requires thicker or higher-rated roof sheathing to span between trusses
  • Prefabricated wood or steel roof trusses are engineered products — their member sizes, web configuration and connector plates are designed by a truss manufacturer's engineer for the specific span, pitch, spacing and loads involved, and this calculator does not replace that engineering, only the geometric count and layout dimensions.
  • This calculator assumes a simple symmetric gable truss with no overhang; hip roofs, dormers, or trusses with overhangs and non-standard chord configurations require a truss manufacturer's specific engineered drawings.

What does a roof truss calculator work out?

A roof truss calculator counts how many prefabricated trusses are needed along a building's length at a given on-center spacing, and calculates the geometric dimensions — top chord (sloped rafter member) length, bottom chord (span) length, and peak height — of a simple symmetric gable truss from the roof span and pitch.

Truss spacing directly affects the truss count: closer spacing (400 mm) means more trusses supporting a given roof, generally used with lighter roof sheathing or where truss design calls for it, while wider spacing (600 mm) uses fewer, more widely spaced trusses, typically paired with a sheathing product rated for the longer unsupported span between trusses.

How to use this roof truss calculator

  1. Enter the building length — the horizontal distance along which trusses will be spaced out.
  2. Enter the roof span — the horizontal distance the truss covers, typically the building width.
  3. Enter the roof pitch as X-in-12 (for example, 6 for a 6:12 pitch).
  4. Select the truss spacing: 400 mm or 600 mm on-center.
  5. Read the number of trusses needed, the top chord length per side, the bottom chord length and the peak height above the bottom chord.

The formula behind truss geometry and count

Trusses = ⌊Building length ÷ Spacing⌋ + 1
Peak height (rise) = (Span ÷ 2) × (Pitch ÷ 12)
Top chord length = √((Span ÷ 2)² + Peak height²)
Bottom chord length = Span

Truss count equals the building length divided by the spacing, rounded down, plus one — placing a truss at both ends of the run and evenly in between. Peak height (rise) equals half the span multiplied by the pitch ratio (pitch ÷ 12). Top chord length uses the Pythagorean theorem on the right triangle formed by half the span and the rise.

Worked example (calculator defaults): a 12 m building length, 8 m span, 6:12 pitch, at 600 mm o.c. spacing. Truss count = ⌊12 ÷ 0.6⌋ + 1 = 20 + 1 = 21 trusses. Peak height = (8 ÷ 2) × (6 ÷ 12) = 4 × 0.5 = 2 m. Top chord length = √((8÷2)² + 2²) = √(16 + 4) = √20 ≈ 4.47 m per side. Bottom chord length = 8 m (the full span).

Common mistakes

  • Treating the top chord length as the total rafter length including overhang — this calculator's top chord runs only from the peak to the outer edge of the span entered, with any eave overhang added separately.
  • Assuming truss count alone determines roof strength — actual truss capacity depends on the manufacturer's engineered design for the member sizes, web layout and connector plates, not just the spacing chosen.
  • Using truss spacing and sheathing thickness that don't match — wider truss spacing generally requires a thicker or higher-span-rated sheathing product to avoid excessive sag between supports.
  • Applying this simple symmetric-gable geometry to a hip roof, dormer or other complex truss configuration without accounting for the girder trusses, jack trusses and hip trusses those roof shapes require.

Sıkça Sorulan Sorular

How many roof trusses do I need for a 12 m building at 600 mm spacing?

At 600 mm on-center spacing along a 12 m building length, you need 21 trusses, using the convention of one truss per spacing interval plus one additional truss to close out the run.

What is the difference between 400 mm and 600 mm truss spacing?

400 mm on-center spacing places trusses closer together, needing more trusses per building length but often allowing lighter roof sheathing. 600 mm spacing uses fewer trusses but typically requires thicker or higher-rated sheathing to safely span the wider gap between them.

How is the top chord length of a truss calculated?

For a simple symmetric gable truss, the top chord (sloped rafter member) length is found using the Pythagorean theorem on the triangle formed by half the roof span and the peak height (rise): top chord = √((span ÷ 2)² + rise²).

Does this calculator engineer the truss for me?

No — it calculates the geometric layout (count, chord lengths, peak height) only. Prefabricated trusses are engineered products whose member sizes, web bracing and connector plates are designed by the truss manufacturer's engineer for the specific loads and configuration, which this calculator does not replace.

Kaynaklar

  1. Structural Building Components Association (SBCA) — prefabricated wood roof truss design and terminology conventions.
  2. American Wood Council (AWC) — Wood Frame Construction Manual, roof framing and truss spacing conventions.
  3. Standard trigonometric (Pythagorean) relationships for gable-truss chord geometry from span and pitch.

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