算BuildCalc

Roof Gutter Calculator

Design flow, what the gutter can carry, and how many downpipes.

Quick answer

With the default inputs: Catchment area 500 m² · Storm intensity q 200 L/(s·100m²) · Runoff coefficient 0.9 etc.Design rainwater flow 9.00 L/s

Edit the inputs below to recalculate.

Inputs

m²
Plan projection, including pitched roofs
L/(s·100m²)
From the local formula, 150-350 for a 5-year return period
0.9 for hard roofing, 0.3-0.5 for green roofs
m
m
Design water depth, not full gutter depth
‰
Not less than 1‰, commonly 2-5‰
0.013 for concrete, 0.011 for metal gutters
mm
Commonly DN75, DN100, DN150
m/s
Gravity flow usually 1.0-2.0 m/s

Result

Design rainwater flow
9.00L/s
Gutter flow area0.0700m²
Hydraulic radius0.0933m
Gutter capacity60.7L/s
Capacity ratio6.74×
Full-flow velocity0.87m/s
Downpipe capacity11.78L/s
Downpipes required1bars
Catchment per downpipe500m²

Design flow Q = runoff coefficient × storm intensity × catchment ÷ 10000, since q is per 100 m². Gutter capacity uses Manning: Q = (1/n)·A·R^(2/3)·√S, with A = b·h and wetted perimeter b + 2h for a rectangular channel. Check two things: capacity above design flow, preferably 1.2×, and full-flow velocity not below 0.6 m/s or silt will settle. Gutter slope must not be under 1‰.

Formula

Design flowQ = ψ × q × F ÷ 10000 (L/s)
Gutter areaA = width × depth
Hydraulic radiusR = A ÷ (width + 2 × depth)
Gutter capacityQ = (1 ÷ n) × A × R^(2/3) × √S × 1000 (L/s)
Downpipe capacityq = pipe area × velocity × 1000
Downpipe countn = ⌈design flow ÷ pipe capacity⌉
500 m² of roof at 200 L/(s·100m²) and 0.9 runoff: 9 L/s design flow; a 350×200 gutter at 3‰ with n = 0.013 carries 60.7 L/s, 6.7 times over; a DN100 pipe at 1.5 m/s handles 11.78 L/s, so one suffices.

FAQ

Why is the calculated capacity so much larger than the flow?
Because storm intensity on a small roof yields little flow, while gutters are sized by construction and cleaning needs rather than hydraulics. A 500 m² roof produces 9 L/s and a single DN100 pipe carries 11.78. The real constraints are downpipe spacing (usually no more than 20 m apart, at least two per catchment) and minimum gutter size for leaf blockage and cleaning. A large margin simply means the section is not the bottleneck.
How many downpipes per catchment?
Code requires at least two outlets or downpipes per catchment so a blockage or failure still leaves a path instead of overflowing. Downpipe spacing should also not exceed 20 m to limit gutter run and flow distance. So even when one is hydraulically sufficient, install two — and add outlets mid-run on gutters longer than 20 m.
What happens with insufficient gutter slope?
Standing water, silt, leaks and eventually damp ceilings and cracked parapet flashings. Below 1‰, velocity is too low to move grit, leaves and droppings, so the section silts up and the gutter overflows in the very storm it was designed for, while the trapped water ages the waterproofing. Code requires at least 1‰, commonly 2-5‰, with the outlet at the low point and no backfalls. Check levels section by section on site.

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Results are estimating aids only and are not a design basis. Construction and final accounts must follow the drawings, the applicable standards and an approved method statement. Anything affecting structural safety, shoring or falsework must be checked by a suitably qualified engineer.