Peak-flow curve converting the sum of loading units into a design flow for domestic water pipe sizing

Domestic Water Pipe Sizing with Fixture Units (EN 806-3 and IPC)

Add up the maximum flow of every tap in a building and you will size the pipes two or three times too big: nobody opens all the taps at once. Fixture units (loading units) are how plumbing codes turn a list of fixtures into a realistic peak flow, and from there into a pipe size.

Quick answer: Give each fixture a unit value (EN 806-3 loading units, LU, or IPC water supply fixture units, WSFU), add them up for every pipe section, convert the total to a probable peak flow with the code’s curve, then pick the smallest pipe that keeps velocity around 1.5–2 m/s and leaves enough pressure at the worst outlet. The curve is what saves you: 90 LU (9 l/s if every tap ran) becomes a design flow of only about 1.3 l/s.

Step 1: give every fixture its unit value

In EN 806-3, one loading unit equals 0.1 l/s of draw-off flow. Typical values for ordinary fixtures:

FixtureDraw-off flowLoading units (LU)
Washbasin, bidet, WC cistern, dishwasher0.1 l/s1
Shower, domestic kitchen sink, washing machine0.2 l/s2
Urinal flush valve0.3 l/s3
Domestic bath0.4 l/s4
Garden / hose tap0.5 l/s5

The IPC uses WSFU, which are not a flow but a weighting. For private (dwelling) use, for example, a flush-tank WC counts 2.2 WSFU and a lavatory 0.7 WSFU; a full private bathroom group with a flush tank counts 3.6. The code lists separate cold, hot and total values, and public fixtures carry higher numbers because they are used more often.

Typical values — verify with the edition adopted locally.

Step 2: add the units section by section

Start at the furthest outlet and walk back towards the meter. Every pipe section carries the sum of all the units downstream of it. Write the running total on the riser diagram; it makes checking easy and reviewers look for it.

Step 3: convert units to a probable peak flow

This is the step that matters. EN 806-3 gives a graph that turns total LU into design flow; the IPC uses Hunter’s curve (with separate branches for flush-tank and flush-valve systems) to turn WSFU into gpm. Many European designers use the German peak-flow formula for dwellings, which tracks the same idea:

Qd = 1.48 × (ΣQR)0.19 − 0.94

where ΣQR is the sum of draw-off flows in l/s (that is, total LU ÷ 10) and Qd is the design peak flow in l/s. If Qd comes out larger than ΣQR (only for very small totals), use ΣQR. Other building types (hotels, hospitals, schools) use different constants because their usage peaks are sharper.

00.51.01.52.0 05101520 Sum of draw-off flows ΣQR (l/s) = total LU ÷ 10 Design peak flow Qd (l/s) all taps open (Qd = ΣQR) Qd = 1.48·ΣQR^0.19 − 0.94 Example: 90 LU → ΣQR = 9 l/s design flow Qd ≈ 1.31 l/s
Peak-flow curve for dwellings: the more fixtures a pipe serves, the smaller the share that runs at the same time.

Step 4: choose the pipe size by velocity

With the design flow known, the internal diameter follows from d = √(4·Q / (π·v)), with Q in m³/s and v in m/s. Common practice is about 1.5 m/s in mains and risers and up to 2 m/s in short branches; keep it lower near bedrooms and in plastic pipe where noise and water hammer matter. Remember to use the internal diameter of the actual pipe material: a 32 mm plastic pipe and a DN32 steel pipe have very different bores.

Worked example — 10-flat riser

Each flat: WC cistern 1 + washbasin 1 + shower 2 + kitchen sink 2 + washing machine 2 + dishwasher 1 = 9 LU (ΣQR = 0.9 l/s).

One flat branch: Qd = 1.48 × 0.90.19 − 0.94 = 1.48 × 0.980 − 0.94 ≈ 0.51 l/s.

Riser foot, 10 flats: 90 LU → ΣQR = 9 l/s. Qd = 1.48 × 90.19 − 0.94 = 1.48 × 1.518 − 0.94 ≈ 1.31 l/s.

Bore at 1.5 m/s: d = √(4 × 0.00131 / (π × 1.5)) = 0.0333 m ≈ 33 mm. A pipe with a 36 mm bore gives v = 0.00131 ÷ (π × 0.036² / 4) ≈ 1.29 m/s. Accept.

Sanity check: 9 l/s (all taps open) would have needed a bore of about 87 mm at the same velocity, which is clearly absurd for ten flats.

Step 5: check pressure at the worst outlet

Velocity alone does not finish the job. Starting from the available pressure (mains or booster set), subtract the static height to the highest outlet (about 0.1 bar per metre), pipe friction, meter and fitting losses. What is left must cover the minimum flow pressure of the worst fixture: about 1 bar is a common figure for ordinary taps, while flush valves and some thermostatic mixers need more, so check manufacturer data. At the other end, keep static pressure at outlets below about 5 bar (EN 806) or 80 psi (IPC) with pressure reducing valves on lower floors.

Free tool: Hazen-Williams pipe friction calculator — friction loss per metre and per pipe run for your chosen size.

Rules of thumb

ItemTypical practice
Velocity, mains and risersabout 1.5 m/s (5 ft/s)
Velocity, short branchesup to 2 m/s (6.5 ft/s)
Static height0.098 bar per metre (0.433 psi per ft)
Minimum flow pressure, ordinary tapabout 1 bar (15 psi)
Maximum static pressure at outletsabout 5 bar (EN 806) / 80 psi (IPC)

Hot water pipes are sized the same way using only the hot share of each fixture; the return loop is sized for heat loss, not draw-off (see hot water recirculation and legionella temperatures). If the available pressure is too low, the next step is a booster pump set fed from a water storage tank. Use the MEP unit converter for l/s to gpm and bar to psi.

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FAQ

What is a loading unit in EN 806-3?

One loading unit (LU) equals 0.1 l/s of draw-off flow. A washbasin is 1 LU, a shower or kitchen sink 2 LU and a domestic bath 4 LU; the total for a pipe section is converted to a design flow with the standard’s curve.

Can I convert IPC WSFU directly to EN 806 LU?

No. WSFU are weighting factors read against Hunter’s curve, while LU are tied to a real flow of 0.1 l/s. Size a project with one method from start to finish, the one adopted where the building is.

What velocity should I use for domestic water pipes?

About 1.5 m/s in mains and risers and up to 2 m/s in short branches is common practice. Go lower where noise matters, and always check the remaining pressure at the worst outlet.

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