Summary
The basic BS EN 12056-3 sizing method — effective roof area × rainfall intensity = design flow, then match to a gutter and downpipe capacity table — works cleanly for the roof shape most guidance assumes: a simple rectangular roof draining evenly to one or two gutter runs. See gutter downpipe sizing for that core method, the standard capacity tables, and the basic worked example. Most domestic roofs genuinely are that simple, and for those jobs the basic method is all that's needed.
This calculator picks up where that basic method runs out of road: roofs where the plan area alone doesn't tell you what any individual length of gutter actually has to carry. A hip roof concentrates two slopes into a valley, discharging into a single gutter section at a rate far higher than the same plan area spread evenly elsewhere. A dormer window splits what looks like one continuous run into several separate catchments, each needing its own outlet check. A larger or L-shaped roof commonly needs two or more downpipes, and the question shifts from "what size is the gutter" to "where do the outlets go, and does any individual run exceed its outlet's capacity."
The underlying physics is the same as the basic guide — this article's contribution is showing how to break a complex roof into the right sub-areas before applying it, with full worked numeric examples for a hipped-and-valleyed roof, a roof with a dormer, and an L-shaped roof needing multiple downpipes.
Key Facts
- The core formula doesn't change — design flow Q (L/s) = effective roof area (m²) × rainfall intensity (L/s per m²); what changes on a complex roof is how the roof is divided into sub-areas before this formula is applied to each gutter length individually
- Standard design rainfall intensity — 75 mm/hr (0.0208 L/s per m²) for most of England and Wales; up to 150 mm/hr (0.0417 L/s per m²) in upland/western areas — confirm the local design intensity from CIBSE Guide C before starting, since this single input changes every downstream figure
- A valley concentrates two slopes' flow onto one gutter length — never size a valley gutter or the eaves gutter it discharges into using only the plan area of the roof plane directly above it; the valley must carry the combined flow of both adjoining slopes
- Valley gutters typically need a box-section profile, commonly 150mm or wider, rather than a standard half-round eaves gutter — see gutter downpipe sizing for standard capacity data on box gutters
- Dormers split a single run into independent catchments — the gutter section either side of a dormer, and the small gutter section (if any) across the dormer's own roof, should each be sized and checked for outlet capacity separately, not averaged across the whole elevation
- Hip ends add a third contributing slope at each hip, increasing the flow reaching the corner gutter section beyond what a simple two-slope valley calculation would show
- Maximum single-outlet run — approximately 12m for a 112mm half-round gutter at 1:600 fall (see guttering fall gradient calculator for the fall-side constraint); any calculated run exceeding this on a complex roof needs an additional outlet, regardless of whether the hydraulic capacity alone would allow a longer run
- Multiple downpipes on one roof plane — split the roof into discrete catchment zones at natural high points (ridges, hips) and size each zone's gutter run and downpipe independently; don't total the whole roof's flow and divide by downpipe count unless the zones are genuinely symmetrical
- L-shaped and courtyard roofs concentrate flow at internal corners — an internal valley at the junction of two roof wings behaves exactly like a hip-roof valley for sizing purposes and is very commonly under-sized because it's mentally treated as "just a corner" rather than a flow-concentration point
- Box gutter falls need particular attention on complex roofs — a box gutter serving a valley or parapet run can appear flat over a short span; verify the fall independently using guttering fall gradient calculator rather than assuming the roof pitch itself provides adequate gutter fall
- Overflow provision remains mandatory on every catchment zone, not just the overall roof — Building Regulations Approved Document H requires an overflow route (notched fascia, overflow outlet) on every gutter run including valley and dormer sections
- Rounding up matters more on complex roofs — because sub-area calculations compound (valley flow, hip contribution, dormer split), round every intermediate figure up to the next standard product size rather than carrying an unrounded decimal through several steps, which risks under-sizing the final selection
Quick Reference Table — Flow Concentration Multipliers by Roof Feature
Got your quantities? squote builds the full quote with labour, materials and markup.
Try squote free →| Roof Feature | Effect on Gutter Sizing | Typical Sizing Action |
|---|---|---|
| Simple two-slope roof, symmetrical | Flow splits evenly between two eaves gutters | Standard ERA calculation per slope (see gutter downpipe sizing) |
| Hip roof, no valley | Slightly increases flow at hip-end gutter vs a gable roof of the same plan area | Use full plan area of the hip triangle in the adjoining gutter's ERA |
| Valley (two slopes meeting) | Valley gutter and the eaves gutter it discharges into carry the COMBINED flow of both slopes | Size valley/discharge gutter on combined ERA of both slopes, not either slope alone |
| Dormer window | Splits one gutter run into two (or three) independent catchments | Size each split section independently; small dormer roof section usually needs its own tiny outlet or a discreet connection into the main run |
| Internal corner (L-shaped/courtyard roof) | Behaves as a valley; concentrates two wings' flow at the internal corner | Treat exactly as a valley calculation — combined ERA of both wings |
| Long unbroken run (18m+) | Exceeds single-outlet maximum run regardless of calculated capacity | Add a second outlet (centre-outlet layout or an additional downpipe) and recalculate each half independently |
Detailed Guidance
Worked Example 1 — Hipped Roof with Two Valleys
Scenario: A detached house, 14m × 9m footprint, hip roof at 35° pitch with a single-storey rear wing creating two valleys where the rear wing's roof meets the main roof. Design rainfall intensity: 75 mm/hr (0.0208 L/s/m²), standard for the region.
Step 1 — identify the catchment zones. The roof has: (a) the two long hip-roof slopes draining to the front and rear eaves independently, and (b) the rear wing's roof, which drains into two valleys where it meets the main roof, both valleys discharging into the rear eaves gutter.
Step 2 — calculate the rear wing's plan area. Rear wing: 9m wide × 4m deep (plan) = 36m². This entire area drains via the two valleys.
Step 3 — calculate the main roof's rear-facing slope plan area contributing to the same rear eaves run. Main roof rear slope (excluding the hip triangles, already accounted separately): 14m × 4.5m (half-span to ridge) = 63m².
Step 4 — combine the flows reaching the rear eaves gutter. Total ERA reaching the rear eaves section nearest the valleys = 36m² (wing) + a proportion of the 63m² main slope local to the valley — for this worked example, the valley section serves the wing's full 36m² plus an adjacent 18m² section of the main roof slope that also drains toward the same valley-to-eaves point (confirmed by tracing the actual water path on the roof plan, not assumed as a 50/50 split).
- ERA at the valley discharge point = 36 + 18 = 54m²
- Q = 54 × 0.0208 = 1.12 L/s
Step 5 — select the valley gutter and discharge section. From the capacity table in gutter downpipe sizing, a 125mm half-round gutter (1.25 L/s at 1:600 fall) is adequate but leaves little margin; a 150mm half-round (2.5 L/s) or 150mm box-section valley gutter is the safer specification given the concentrated, debris-prone nature of valley flow — box-section valley gutters are standard practice for exactly this reason, not just capacity.
Step 6 — check the remaining rear eaves run beyond the valley discharge point. The remaining rear eaves length (not fed by the valley) drains a further 45m² of main roof slope: Q = 45 × 0.0208 = 0.94 L/s — a standard 112mm half-round (0.9 L/s) is marginal here; specify 125mm to keep consistent capacity along the full rear eaves run rather than mixing gutter sizes mid-run.
Result: The naive whole-roof calculation (126m² total roof plan × 0.0208 = 2.6 L/s, "just use a bigger single gutter everywhere") misses that the valley discharge point alone concentrates 1.12 L/s into a single short gutter section — well above what a standard 112mm gutter run elsewhere on the same roof would need to handle. Specify 150mm box-section valley gutter at the concentration point, 125mm half-round for the rest of the rear eaves run, and confirm both outlets (valley discharge and the remaining rear eaves length) fall within the 12m maximum single-outlet run.
Worked Example 2 — Roof with a Dormer Splitting a Gutter Run
Scenario: A bungalow loft conversion adds a single dormer window to the rear roof slope, 3m wide, positioned 5m from the left-hand end of an 11m rear eaves run. Design rainfall intensity: 75 mm/hr.
Step 1 — identify the split. The dormer's own small flat or shallow-pitched roof drains via its own short gutter (dormer cheek gutters or a small parapet gutter), separate from the main roof slope's eaves gutter, which now has a 3m-wide gap in its normal catchment where the dormer interrupts the slope.
Step 2 — calculate the main roof eaves run either side of the dormer. Left section (before the dormer): 5m run, plan width 3m (half-span) = 15m². Right section (after the dormer): 3m run, plan width 3m = 9m².
- Left section Q = 15 × 0.0208 = 0.31 L/s
- Right section Q = 9 × 0.0208 = 0.19 L/s
Both are comfortably within a standard 112mm half-round gutter (0.9 L/s capacity) — the split doesn't increase flow, it just means each section needs checking independently for outlet position, since a single continuous 11m run with one end outlet would have worked before the dormer was added, but now needs its own outlet consideration either side of the interruption.
Step 3 — size the dormer's own roof drainage. Dormer roof plan area: 3m × 1.2m (typical dormer roof depth) = 3.6m². Q = 3.6 × 0.0208 = 0.075 L/s — a small 75mm half-round dormer cheek gutter (0.35 L/s capacity) is more than adequate; this is frequently oversized in practice for practical stocking reasons (installers commonly use the same 112mm profile throughout for consistency), but the calculation confirms even a genuinely small profile would suffice.
Step 4 — decide the outlet strategy. With the run now split into two independent sections by the dormer, each needs its own outlet unless a valley/box gutter physically links them around the dormer cheeks (uncommon on a simple retrofit dormer) — specify two separate downpipes rather than assuming the original single-outlet layout still works once the dormer interrupts the gutter's continuity.
Result: Neither split section approaches capacity limits, but the dormer changes the outlet count from one to two (plus the dormer's own small discharge point) — a sizing check that's easy to skip because the total roof area barely changes, but the outlet layout genuinely does.
Worked Example 3 — Larger L-Shaped Roof Needing Multiple Downpipes
Scenario: An L-shaped detached house, two wings each roughly 10m × 7m (plan), meeting at an internal corner that forms a valley. Design rainfall intensity: 75 mm/hr.
Step 1 — treat the internal corner as a valley. Exactly as in Example 1, the internal corner where the two wings meet concentrates flow from both wings' adjoining slopes — do not treat it as "just a corner" with no special sizing consideration.
Step 2 — calculate each wing's independent eaves runs. Wing A (10m run): plan width 3.5m (half-span) = 35m². Q = 35 × 0.0208 = 0.73 L/s — within a 112mm gutter (0.9 L/s), and within the 12m single-outlet maximum run, so one downpipe at the far end from the internal corner is adequate for this wing.
Wing B (7m run): plan width 3.5m = 24.5m². Q = 24.5 × 0.0208 = 0.51 L/s — also within a 112mm gutter and well within run-length limits with a single outlet.
Step 3 — calculate the internal corner/valley zone. The valley section serves an estimated 12m² of Wing A's slope local to the corner plus 10m² of Wing B's slope local to the corner (again, confirmed by tracing the actual roof plan rather than assumed) = 22m². Q = 22 × 0.0208 = 0.46 L/s — within a 112mm gutter capacity, but specify a box-section valley profile at this point regardless of the capacity headroom, since valley sections concentrate debris as well as flow.
Step 4 — total downpipe count. Three independent outlets: one at the far end of Wing A, one at the far end of Wing B, and one at the internal valley discharge point — three downpipes total, rather than trying to serve the whole L-shaped roof from a single downpipe at one corner, which would exceed both capacity and the 12m maximum run length once the full perimeter is considered.
Result: The L-shape doesn't push any individual gutter section beyond a standard 112mm profile in this example, but it changes the answer to "how many downpipes" from an assumed one or two to a confirmed three, each independently sized and positioned — the calculation that a whole-roof-area approach would miss entirely.
Frequently Asked Questions
Do I always need a box-section gutter at a valley, or only when the calculated flow requires it?
Specify a box-section (or heavy-duty half-round) valley gutter as standard practice regardless of whether the calculated flow alone would allow a smaller profile, because valleys concentrate debris as well as water, and a standard half-round profile silts up faster at a valley discharge point than elsewhere on the roof. Use the calculation to confirm the minimum acceptable size, then specify at or above it with the debris-handling profile in mind.
How do I decide where the "boundary" is between two roof sections feeding the same valley, if it's not an obvious 50/50 split?
Trace the actual water path on the roof plan (or the actual roof, if surveying on site) rather than assuming an even split — roof pitch, ridge position, and hip geometry all affect which parts of each slope genuinely drain toward a given valley versus toward the slope's own eaves gutter elsewhere. Where the geometry is genuinely ambiguous, err toward the more conservative (larger) catchment assignment to the valley, since under-sizing a valley section has worse consequences (water tracking under tiles, ponding) than a modest oversizing elsewhere.
My complex roof's individual sections are all within standard 112mm capacity — do I still need multiple downpipes?
Yes if any individual section's run length exceeds the roof drainage standard's maximum single-outlet run (approximately 12m for a 112mm half-round at 1:600 fall) — capacity and run length are two separate checks, and a long, low-flow run can still need an additional outlet purely on run-length grounds, independent of whether the hydraulic capacity would allow a single larger downpipe to cope. See guttering fall gradient calculator for the fall-side constraint that interacts with this.
Is this level of calculation really necessary for a typical extension or loft conversion job, or only for large new builds?
Any roof with a valley, a dormer, or an L-shaped/courtyard plan benefits from this level of check, regardless of overall size — a single-storey rear extension creating one valley against the main house roof is exactly the scenario in Worked Example 1, and it's a very common domestic job, not just a large new-build concern. The calculation takes a few minutes once the roof plan is understood and materially reduces the risk of an overflowing valley gutter causing damp at the wall below.
Regulations & Standards
BS EN 12056-3:2000 — gravity drainage systems inside buildings; roof drainage design and calculation method (the underlying standard this calculator extends to complex geometries)
Building Regulations Approved Document H — drainage and waste disposal; Section 3 covers roof drainage requirements and mandatory overflow provision on every gutter run
BS EN 607:2004 — eaves gutters and fittings made of PVC-U; product standard for UPVC guttering components
BS EN 612:2005 — eaves gutters and rainwater pipes of metal sheet; relevant to box-section and valley gutter product specification in metal
Approved Document H (2015) — MHCLG free download; Section 3 on roof drainage
Brett Martin Plumbing and Drainage — gutter and downpipe product range including box-section and valley profiles
Polypipe Building Products — gutter capacity tables and technical guidance
CIBSE Guide C — rainfall intensity data for UK locations, including upland design intensities above 75 mm/hr
gutter downpipe sizing — the core BS EN 12056-3 sizing method, standard capacity tables, and the basic single-catchment worked example this calculator extends
guttering fall gradient calculator — fall/gradient calculation for gutter runs, including the maximum single-outlet run length used throughout this article
guttering quantity calculator — materials-quantity takeoff once the gutter size and outlet layout from this calculator are confirmed
guttering — material selection, profiles, and general installation practice