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Falls and firrings

Flat roof fall: drop over a run at a chosen ratio

h=1000LGs=100Gθ=arctan1G
where
h
total fall over the run (mm)
L
length of the run in the direction of fall (m)
G
fall ratio, 1 in G
s
gradient (%)
θ
angle of the fall (°)
Explain this equation

Works out how much a flat roof must drop over its length to achieve a chosen fall, such as 1 in 40. Use it when designing firrings or tapered insulation, or setting out a new deck.

A fall of 1 in G means the roof drops one unit for every G units along. L is in metres, so 1000 L / G gives the drop h in millimetres. The same ratio as a percentage is 100 / G, and arctan turns it into a (very small) angle.

It is a straight proportion: drop is length divided by the ratio number.

Sense check: 4 m at 1 in 40 drops 100 mm, a 2.5% gradient, about 1.4°. At 1 in 80 the same run drops only 50 mm.

Watch out: BS 6229 wants at least 1 in 80 finished fall everywhere, which is why designs aim for 1 in 40 to allow for deflection and building tolerances.

Works out how much a flat roof must drop over a run for a given fall ratio, so you can set out firrings, tapered insulation or screed.

1 in

Enter your values to see the result.

Good to know

BS 6229:2018 asks for a minimum finished fall of 1:80 at any point, including internal gutters, and recommends a design fall of 1:40 so that 1:80 is still achieved once the structure has deflected and site tolerances have been absorbed. Check cross-falls at valleys and around outlets, where the fall along the diagonal is shallower than the main fall.

Common mistake

Designing at exactly 1:80. Joist deflection and normal building tolerance will leave ponds, and a back-fall is not acceptable.

Limits

Straight, single-direction fall. Tapered insulation schemes with valleys and hips need the manufacturer’s layout.

Sources

Results are calculations from the published methods and figures shown, and depend on the data you enter. Follow the roof covering manufacturer’s fixing specification, BS 5534, BS 8000-6, BS 6229, the Lead Sheet Training Academy guidance and Building Regulations. Wind uplift and structural design need a competent designer.

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