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Metric Rafter Calculator Guide

Calculate rafter length in metres and millimetres, convert pitch from degrees to X/12, and size rafters with UK & Australia metric tables — built for builders outside the imperial world.

📐 Metric Rafter Calculator

Presets:
Line Length
3.354 m
3354 mm
Rise
1.500 m
1500 mm
Total Length
3.857 m
3857 mm
Imperial Cross-check
12' 7-7/8"
≈ 6.0/12
Plumb Cut Angle
63.4°
Seat Cut Angle
26.6°

Why a Metric Rafter Calculator? UK, Australia & Europe

Most online rafter calculators default to imperial units — feet, inches, and the X/12 pitch convention. But builders in the UK, Australia, New Zealand, and across continental Europe work in millimetres and metres, with pitch expressed in degrees rather than rise-per-foot. A metric rafter calculator removes the constant unit conversion that introduces errors: a 3.6 m run is entered as 3.6, not 11'-9-3/4", and a 22.5° pitch is entered directly rather than looked up as "4.9/12".

This guide covers the full metric workflow: how to calculate rafter length in metric, how to convert between degree pitch and X/12, the UK and Australia rafter size conventions, and an imperial-to-metric conversion table for cross-border projects. The Pythagorean math is identical — only the units and pitch expression change.

How to Calculate Rafter Length in Metric

The metric rafter length formula is the same right-triangle hypotenuse as the imperial version, just with metres or millimetres as the unit:

Rafter Line Length = Run ÷ cos(Pitch Angle)
Rise = Run × tan(Pitch Angle)
Total Length = Line Length + (Overhang ÷ cos(Pitch Angle))
Worked example (Australia): 3.6 m run at 22.5° pitch, 0.45 m overhang.
cos(22.5°) = 0.9239, tan(22.5°) = 0.4142.
Line Length = 3.6 ÷ 0.9239 = 3.897 m (3897 mm).
Rise = 3.6 × 0.4142 = 1.491 m.
Overhang along rafter = 0.45 ÷ 0.9239 = 0.487 m.
Total rafter length = 3.897 + 0.487 = 4.384 m.

Notice the key difference from the imperial workflow: pitch is entered in degrees (22.5°), not as X/12. The calculator above handles this directly — type the degree pitch and the run in metres, and you get line length, rise, and total length in both metres and millimetres, with an imperial cross-check for reference.

Pitch in Degrees vs X/12: The UK & Australia Convention

In the US, pitch is expressed as X/12 (inches of rise per foot of run). In the UK and Australia, pitch is expressed in degrees from horizontal. The conversion is straightforward:

Degrees → X/12: X = tan(Angle) × 12
X/12 → Degrees: Angle = arctan(X ÷ 12)
Example: 30° → tan(30°) × 12 = 0.5774 × 12 = 6.93/12 (≈ 7/12).
Pitch (degrees)X/12 equivalentTypical use
14.04°3/12Low-pitch (AU verandah, UK flat roof)
18.43°4/12Shallow pitch
22.62°5/12Moderate (AU common)
26.57°6/12Standard residential
30°6.9/12AU 30° common convention
33.69°8/12Steep residential
39.81°10/12Steep (UK cottage)
45°12/12A-frame / Mansard boundary

A common point of confusion: Australia frequently uses 30° as a standard residential pitch, which does not map to a clean X/12 value (it is ≈ 6.9/12). This is exactly why the metric/degree system is preferred outside the US — round-degree pitches (20°, 25°, 30°, 35°, 45°) are easier to set on a protractor or digital level than fractional X/12 values.

How to Calculate Rafter Length and Angle in Metric

When you calculate rafter length and angle in metric together, the angle is a direct input (in degrees), so you skip the X/12-to-degrees conversion that imperial users must perform. The full workflow:

Step 1: Enter pitch in degrees (e.g., 35° for a typical UK roof).

Step 2: Line Length = Run ÷ cos(Pitch°).

Step 3: Rise = Run × tan(Pitch°).

Step 4: Plumb cut = 90° − Pitch. Seat cut = Pitch.

Step 5: Total = Line Length + (Overhang ÷ cos(Pitch°)).

Worked example (UK): 4.0 m run at 35° pitch, 0.5 m overhang.
cos(35°) = 0.8192, tan(35°) = 0.7002.
Line Length = 4.0 ÷ 0.8192 = 4.883 m.
Rise = 4.0 × 0.7002 = 2.801 m.
Plumb cut = 90° − 35° = 55°. Seat cut = 35°.
Overhang along rafter = 0.5 ÷ 0.8192 = 0.610 m.
Total rafter length = 4.883 + 0.610 = 5.493 m (5493 mm).

Metric Rafter Size Guide: UK & Australia

UK and Australia use different actual dressed sizes from US nominal lumber. UK rafters are typically 47 mm thick (C16/C24 grade), while Australia uses 38 mm thick MGP10/MGP12 pine. The table below maps the common metric sizes to their imperial equivalents and typical span ranges.

UK size (mm)Australia size (mm)Imperial equiv.Typical use
47 × 100 mm38 × 89 mm2 × 4Shed, porch, verandah (span < 2.4 m)
47 × 125 mm38 × 140 mm2 × 6Small garage, extension (span 2.4–3.0 m)
47 × 150 mm38 × 184 mm2 × 8Standard house (span 3.0–4.0 m)
47 × 175 mm38 × 235 mm2 × 10Wide span / heavy snow (span 4.0–5.0 m)
47 × 200 mm38 × 286 mm2 × 12Long span / commercial (span 5.0–6.0 m)

To calculate rafter size UK, start with the clear span, spacing (400 mm or 600 mm centres), pitch, and roof load, then consult the TRADA Span Tables or Building Regulations Approved Document Afor the correct cross-section. In Australia, refer to AS 1684 Span Tables for your wind and roof load category. For a full span chart with bending-check methodology, see our Rafter Span and Size Guide.

💡 Tip: The UK 47×150 mm and Australia 38×184 mm are the most common residential rafter sizes — they map roughly to a US 2×8 and cover spans from 3.0 to 4.0 m at 600 mm centres under moderate load. When in doubt, size up one increment rather than push the span table to its limit.

Imperial ↔ Metric Conversion Table

For cross-border projects or working with imperial span tables, use these exact conversion factors. Always carry full precision through the calculation and round only the final displayed result.

ImperialMetricUsed for
1 ft0.3048 mRun / length
1 in25.4 mmDepth / seat cut
1 ft304.8 mmLength (mm)
1 m3.281 ftReverse length
1 mm0.03937 inReverse depth
6/12 pitch26.57°Pitch (deg)
💡 Tip — Keep units consistentPick metres or millimetres for a single calculation and stick with it. Mixing 3.6 m with 450 mm in the same formula is the #1 source of metric rafter errors. Convert everything to mm first if any value is under 1 m.
⚠️ Warning — Nominal vs actualA UK "47×150" is the actual dressed size, not nominal. A US 2×8 is nominal (actual 1.5×7.25"). Never map nominal imperial to actual metric — always convert actual-to-actual (7.25" = 184 mm).
❌ Don't — Round mid-calculationRounding cos(22.5°) from 0.92388 to 0.92 introduces a 0.4% error — about 16 mm on a 4 m rafter. Carry full calculator precision through every step and round only the final cut length.

Regional Pitch Conventions: Australia vs UK vs US

🇦🇺 Australia

  • • Pitch in degrees (20°–35° common)
  • • Units: millimetres
  • • Spacing: 600 mm o.c. typical
  • • Timber: 38 mm MGP10/MGP12
  • • Standard: AS 1684

🇬🇧 UK

  • • Pitch in degrees (35°–45° common)
  • • Units: millimetres / metres
  • • Spacing: 400 mm or 600 mm o.c.
  • • Timber: 47 mm C16/C24
  • • Standard: TRADA / Building Regs A

🇺🇸 US

  • • Pitch in X/12 (4/12–12/12 common)
  • • Units: feet / inches
  • • Spacing: 16" or 24" o.c.
  • • Timber: 1.5" nominal (2x6, 2x8...)
  • • Standard: IRC / IBC

Two pitfalls catch metric builders most often. First, using a US span table with metric timber without converting actual depths — a US 2×8 span table assumes 7.25" (184 mm) actual depth, but an Australia 38×184 mm is the same depth, so the table transfers cleanly. A UK 47×150 mm, however, is only 150 mm deep (5.9"), which is shallower than a 2×8 — so the US 2×8 span table would over-rate it. Second, forgetting that UK/Australia rafter spacing is often 600 mm (24") rather than 400 mm (16"), which reduces allowable span by roughly 20%. Always match the spacing to the span table you are reading.

Need the full metric + imperial calculator?

Our Main Rafter Calculator supports both metric (mm/m/degrees) and imperial (ft-in/X/12) modes, with a unit toggle that keeps your values consistent across the whole cut list.

🧮 Open the Main Rafter Calculator

Frequently Asked Questions

How to calculate rafter length in metric?▼

To calculate rafter length in metric, use the same Pythagorean formula with metres or millimetres: Rafter Line Length = Run ÷ cos(Pitch Angle). For a 3.0 m run at 26.57° (6/12): Line Length = 3.0 ÷ cos(26.57°) = 3.0 ÷ 0.8944 = 3.354 m = 3354 mm. Rise = Run × tan(Pitch) = 3.0 × 0.5 = 1.5 m. Keep all units consistent — do not mix metres and millimetres in one calculation. Add the overhang divided by cos(pitch) for the total rafter length.

How to calculate rafter length and angle in metric?▼

In the metric system, pitch is usually expressed in degrees rather than X/12, so the angle is a direct input. Rafter Line Length = Run ÷ cos(Pitch Angle). Plumb cut angle = 90° − Pitch. Seat cut angle = Pitch. For a 4.0 m run at 35° (a common UK pitch): Line Length = 4.0 ÷ cos(35°) = 4.0 ÷ 0.8192 = 4.883 m. Rise = 4.0 × tan(35°) = 2.801 m. Plumb cut = 55°, seat cut = 35°. To cross-check against an imperial pitch, X/12 = tan(35°) × 12 = 8.4/12.

How to calculate rafter length Australia?▼

In Australia, rafter length is calculated in millimetres or metres with pitch expressed in degrees. Rafter Length = Run ÷ cos(Pitch°). For a typical Australian 3.6 m run at 22.5° (a common AU residential pitch): Length = 3.6 ÷ cos(22.5°) = 3.6 ÷ 0.9239 = 3.897 m. Australian framing typically uses 38 mm thick rafters (MGP10/MGP12 pine) at 600 mm centres, with sizes like 38×140 mm for spans up to 3.0 m and 38×184 mm for spans up to 4.0 m. Always verify against AS 1684 Span Tables for your specific wind and roof load category.

How to calculate rafter length and angle UK?▼

In the UK, rafter length uses metric units with pitch in degrees. Rafter Length = Run ÷ cos(Pitch°). For a 4.0 m run at 35°: Length = 4.0 ÷ cos(35°) = 4.883 m. The plumb cut = 90° − 35° = 55°, and the seat cut = 35°. UK roof pitches commonly range from 30° to 50°, with 35°–40° typical for new housing. UK rafter timber is typically 47 mm thick (C16/C24 grade) at 400 mm or 600 mm centres. Verify the rafter size against the TRADA Span Tables or Building Regulations Approved Document A for your specific loading.

How to calculate rafter size UK?▼

To calculate rafter size in the UK, start with the clear span, rafter spacing (usually 400 mm or 600 mm), pitch, and roof load (dead + imposed, typically 0.75–1.0 kN/m²). Then consult the TRADA Span Tables or Building Regulations Approved Document A for the correct rafter cross-section. Typical UK rafter sizes: 47×100 mm for spans up to 2.4 m, 47×125 mm for 2.4–3.0 m, 47×150 mm for 3.0–4.0 m, and 47×175 mm for 4.0–5.0 m, using C24 grade timber at 400 mm centres. Higher loads, wider spacing, or steeper pitches require deeper sections. For a detailed span chart and bending-check method, see our Rafter Span and Size Guide.