TryBuildCalc

Booster Pump Sizing Calculator (3 WC + 2 Shower + 3 Lavatory Example)

Size a booster pump for a typical single-family fixture load.

Pump Scenario & Units

ℹ️Booster boosts an existing pressurized supply; Well/Transfer lifts from an unpressurized well, cistern, or storage tank.

ℹ️Metric converts your entries to/from US units at the boundary — the calculation and result always use US units, matching this site's Drain Pipe Slope calculator.

Required Flow Rate

ℹ️Already know your required flow rate? Enter it directly instead of building a fixture list.

ℹ️Sets which WSFU value applies to each fixture — the same demand engine used on this site's Pipe Sizing by Fixture Units calculator.

ℹ️Flushometer-valve fixtures draw much higher instantaneous flow than flush-tank fixtures at the same fixture-unit count.

Add every fixture this pump needs to serve.

Fixture 1

Fixture 2

Fixture 3

Up to 20 fixture rows total.

Pipe & Head

ℹ️Roughness (Hazen-Williams C = 130, aged/design value) sets how much friction loss this material adds at your flow rate.

ℹ️The pipe size the pump discharges through on its way to the highest/most remote fixture.

ℹ️Full developed length from the pump to the highest/most remote fixture, including vertical runs.

ℹ️Additional elevation gain from where the booster ties in up to your highest fixture — can be small or zero for a single-story boost.

ℹ️Pressure you want left over at the highest/most remote fixture — IPC code minimums are 8-15 psi, but 20-30+ psi is a more comfortable design target.

ℹ️Measured pressure at the point the booster ties in — not a general impression of local water pressure.

Pump Efficiency

ℹ️Defaults to 65%, typical for a small centrifugal pump — adjust to a specific candidate pump's published efficiency at your duty point if known.

Pressure Tank Sizing

Optionally size a hydropneumatic pressure tank's drawdown alongside the pump.

Operating Cost

Optionally estimate the pump's electricity cost from your own rate and daily run time.

🔧 Required: 9.9 GPM at 11.38 ft TDH

Scenario: Booster Pump

Oversized for this requirement

Flow Rate

Water Closet (1.6 GPF, Gravity Tank) (x3): 2.5 WSFU

Shower (x2): 1.5 WSFU

Lavatory (x3): 0.8 WSFU

Required Flow Rate: 9.9 GPM

Total Dynamic Head Breakdown

Elevation: 15 ft

Friction Loss: 7.93 ft

7.93 ft per 100 ft of 1" pipe

Required Pressure Head: 46.2 ft (20 psi)

Available Incoming Head: 57.75 ft (25 psi)

Total Dynamic Head: 11.38 ft

Pump Power & Motor Class

Water HP: 0.028 HP

Brake HP (Efficiency 65%): 0.044 HP

Motor-Size Class: 1/3 HP class

Pump configuration: Single unit, or duplex for standby redundancy

Single pump feasible — this demand fits within one standard motor class.

Design Notes

Friction loss is computed directly from your pipe material, size, and run length via the Hazen-Williams equation — using conservative, aged-condition roughness values rather than optimistic new-pipe numbers.

A booster is needed because your available incoming pressure, once elevation and friction losses are subtracted, falls short of your required residual pressure at the highest fixture.

Always confirm a shortlisted pump's actual published pump curve at this required GPM/TDH duty point — a horsepower label alone doesn't guarantee a specific pump meets this exact operating point.

Approximate results for planning only. Verify with a professional.

Booster Pump Sizing11.4 ft TDH requiredExisting Supply25 psiPump1/3 HPHighest Fixture15 ft elevation9.9 GPM at 11.4 ft TDH0.04 BHPDiagram simplified for clarity (not to scale)

Looking for the verification checklist, reference tables, or tips and mistakes?See the complete Water Pump / Pressure Booster Sizing Calculator.

3 WC + 2 shower + 3 lavatory booster sizing example

This fixture combination totals 12.9 WSFU, which converts to a required flow rate of 9.9 GPM via the same WSFU demand curve used on this site's Pipe Sizing by Fixture Units calculator.

With 15 ft of elevation, 100 ft of 1" copper pipe (7.93 ft of friction loss), a 20 psi target at the highest fixture, and 25 psi already arriving from the existing supply, the required boost is just 11.38 ft of TDH — a small 0.044 BHP requirement, rounding up to a 1/3 HP motor class with a very comfortable margin.

  • 9.9 GPM required flow rate (12.9 WSFU).
  • 11.38 ft TDH after crediting 25 psi of existing incoming pressure.
  • ≈0.044 BHP → 1/3 HP motor class.

How Water Pump Sizing Is Calculated

The calculation runs in six parts — friction loss, Total Dynamic Head, pump power, motor-size class, and (optionally) pressure tank sizing and operating cost.

Step 1 — Friction Loss (Hazen-Williams)

hf (ft per 100 ft) = 0.2083 × (100/C)^1.852 × Q^1.852 ÷ d^4.8655

C is the Hazen-Williams roughness coefficient for your selected pipe material (Copper 130, Galvanized Steel 100, CPVC/PEX 150 — conservative "aged pipe" design values), Q is your required flow rate in GPM, and d is the selected nominal size's actual inner diameter in inches. The result scales directly with your pipe run length.

Step 2 — Total Dynamic Head (TDH)

Booster: TDH = Elevation + Friction Loss + (Required Pressure − Available Incoming Pressure) × 2.31
Well/Transfer: TDH = Elevation + Friction Loss + Required Pressure × 2.31

2.31 converts psi to feet of head (1 psi = 2.31 ft, from water's density). For a Booster scenario, if the available incoming pressure already covers the requirement once elevation and friction are subtracted, TDH comes out to zero or less — this calculator reports "pump not needed" rather than sizing one anyway. A Well/Transfer scenario always needs a pump, since there's no existing pressurized supply to credit against.

Step 3 — Pump Power

Water HP = (Q × TDH) ÷ 3960
Brake HP = Water HP ÷ Efficiency

Water Horsepower is the theoretical minimum power for a perfect, lossless pump; Brake Horsepower divides that by your pump's actual efficiency (default 65%, typical for a small centrifugal pump) to get the real shaft power the motor must supply.

Step 4 — Motor-Size Class & Feasibility

Motor Class = smallest standard NEMA HP size ≥ Brake HP
Margin % = (Motor Class − Brake HP) ÷ Brake HP × 100

Brake Horsepower is matched against standard NEMA fractional/whole HP steps (1/3 through 20 HP) to show what to actually shop for, classified as comfortable (15-50% headroom), borderline (under 15%), or oversized(over 50%). A requirement beyond 20 HP triggers a feasibility warning and a dual-unit (parallel pumps) check rather than an extrapolated guess. A discharge-pressure check also flags if the pump would push a nearby fixture above IPC 604.8's 80 psi maximum.

Step 5 — Pressure Tank Sizing (Optional)

Check a Tank: Drawdown (gal) = Tank Volume × (P1 ÷ P2 − P1 ÷ P3)
Size a Tank: Required Tank Volume (gal) = (Flow Rate × Run Time) ÷ (P1 ÷ P2 − P1 ÷ P3)

Both directions use Boyle's Law, where P1 = precharge, P2 = cut-in, P3 = cut-out — all three converted to absolute pressure(gauge psi + 14.7) before the ratio. "Check a Tank" tells you the drawdown a candidate tank volume delivers; "Size a Tank" solves the same equation in reverse, turning a target minimum pump run time into the minimum tank volume needed, rounded up to the nearest common standard size. Skip this step by leaving Pressure Tank Sizing on "Skip" if you only need the pump sized.

Step 6 — Operating Cost (Optional)

Electrical kW = (Brake HP × 0.7457) ÷ Motor Efficiency
Daily Cost = Electrical kW × Hours per Day × Electricity Rate

Brake HP is shaft power, not electrical input power — a motor's own electrical-to-mechanical conversion is never 100%, so dividing by Motor Efficiency (default 85%, adjustable) converts shaft power to the actual power drawn at the wall. Hours per day is always a value you enter directly, never guessed from other inputs — actual daily pump run time varies too much by household and system to safely infer. Monthly and annual figures simply multiply the daily cost by 30 and 365 respectively, at the same constant daily usage.

Worked Example

This example uses the active inputs above and follows the same steps as the Formula section.

Input Values Used

InputValue
Pump ScenarioBooster Pump (Boost Existing Supply)
Required Flow RateWater Closet (1.6 GPF, Gravity Tank) x3, Shower x2, Lavatory x3
PipeCopper (Type L), 1", 100 ft run
Elevation / Required Pressure15 ft / 20 psi
Available Incoming Pressure25 psi

Step 1 — Friction Loss

CalculationSubstitutionResult
Friction Loss (per 100 ft)C=130, Q=9.9 GPM, d=1.025 in7.93 ft/100ft
Friction Loss (full run)7.93 × (100 ÷ 100)7.93 ft

Step 2 — Total Dynamic Head

CalculationSubstitutionResult
Required Pressure Head20 psi × 2.3146.2 ft
Available Incoming Head25 psi × 2.3157.75 ft
Total Dynamic Head15 + 7.93 + 46.257.7511.38 ft

Step 3 — Pump Power & Motor Class

CalculationSubstitutionResult
Water HP(9.9 × 11.38) ÷ 39600.028 HP
Brake HP0.028 ÷ 0.650.044 HP
Motor-Size ClassNearest standard class ≥ 0.044 HP1/3 HP (oversized)

Therefore, this scenario needs a pump rated for at least 9.9 GPM at 11.38 ft of TDH — approximately 0.044 HP brake horsepower, closest to a 1/3 HP standard motor class (oversized).

This does not cover suction-side sizing, NPSH, or electrical service. Cross-check against the Reference Tables in the complete Water Pump / Pressure Booster Sizing Calculator.

This page keeps things focused on the calculation above. For the full construction guide — verification checklist, reference tables, usage steps, tips, common mistakes, and limitations.See the complete Water Pump / Pressure Booster Sizing Calculator.

FAQ

Because 25 psi of incoming pressure is already doing most of the work — after converting to feet of head (57.75 ft) it covers almost all of the 15 ft elevation plus 7.93 ft friction loss plus 46.2 ft required pressure head (69.13 ft total), leaving only 11.38 ft for the pump to add. A weaker incoming supply (say 15 psi instead of 25) would roughly double the required TDH for the same fixtures and pipe.
Yes, proportionally — friction loss scales directly with run length. Doubling the run from 100 to 200 ft would roughly double the 7.93 ft friction figure to about 15.9 ft, adding directly to the required TDH.