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newSchoolWorks.com › VoTechWorks › Building & Construction › Plumbing & Pipefitting › Water Supply Systems: Design, Installation, and Testing › Lesson 8
BLD-PLUM06-04 · Lesson 8 · 10.5 clock hours · theory

Pipe Sizing for Distribution: Fixture Units and Developed Length Method

Objective. Students will size the main, branch mains, and individual branch lines of a complete residential water supply system using the fixture unit method and pressure-loss calculation from the applicable code sizing tables.

Why Pipe Sizing Matters

Undersize a water supply pipe and fixtures starve for flow — toilets take forever to refill, showers go cold, and a running dishwasher kills the pressure at every other tap. Oversize the same pipe and you waste money on material, slow velocity causes sediment to settle, and stagnant water in oversized dead legs can become a Legionella risk. Getting the size exactly right is both a code requirement and a public-health obligation.

Two tools do the work: fixture units to express demand, and developed length to account for friction losses through the real path water must travel.

Water Supply Fixture Units (WSFU)

Every plumbing fixture draws water at a different rate and at a different duty cycle — a lavatory faucet runs briefly; a bathtub fills for minutes. The plumbing codes convert these variables into a single dimensionless number called the Water Supply Fixture Unit (WSFU). The International Plumbing Code (IPC) and the Uniform Plumbing Code (UPC) each publish a table assigning WSFU values to every common fixture type, with separate values for cold-only and hot-only branches and a combined value used at the point where hot and cold join the mixed supply.

When you add fixture units along a branch, you are not adding peak flow rates directly. The codes use a probability curve — called the Hunter's Curve — that converts total WSFU to a design flow rate in gallons per minute (GPM). Because not every fixture runs at once, the converted GPM is always less than the arithmetic sum of individual peak flows. The sizing tables already embed this conversion, so in practice you read GPM from the WSFU total and then select pipe size from the pressure-and-length table.

Developed Length

Developed length is the total measured length of pipe along the actual flow path — every straight run plus every fitting converted to its equivalent length of straight pipe. Fittings such as elbows, tees, and valves create turbulence that costs pressure, and each fitting type has a published equivalent length value (in feet of pipe). Add those equivalent lengths to the physical pipe length and you have the developed length.

The critical path is the longest developed length from the water meter (or pressure source) to the most remote or most demanding fixture. Pressure lost on that path must not exceed the available pressure minus the minimum residual pressure required at the fixture.

Available Pressure and Allowable Friction Loss

Before you can size any pipe, you must establish the available pressure at the meter or service entrance. Subtract from that:

What remains is the allowable friction loss that can be spent moving water from meter to fixture through the piping. Dividing that allowable loss by the developed length gives you the pressure drop per 100 feet of pipe, which is the column you use in the code sizing table.

Reading the Code Sizing Table

The IPC and UPC sizing tables are organized with pipe diameter in columns and pressure-drop-per-100-feet in rows. The cell values show the maximum GPM that pipe size can carry at that friction rate. To size a segment:

1. Find the design GPM for that segment (converted from WSFU).

2. Identify your pressure drop per 100 feet.

3. Read across that row until you find the first cell whose GPM equals or exceeds your design GPM. The column heading is your minimum pipe size.

Always round up to the next nominal size — never down.

Sizing a System Step by Step

1. List every fixture and assign WSFU from the code table, noting cold-only, hot-only, and combined values.

2. Draw or obtain an isometric of the distribution system. Label each branch point (node).

3. Work from the fixtures back toward the meter, accumulating WSFU at each node. Convert accumulated WSFU to GPM using the Hunter's Curve or code table.

4. Measure developed length on the critical path, adding equivalent lengths for fittings.

5. Calculate pressure drop per 100 feet using the available pressure budget.

6. Enter the sizing table at the correct pressure-drop row and GPM to select pipe diameter for each segment.

7. Label every segment on the isometric with pipe material, diameter, and the WSFU load it carries.

Safety Notes

Key terms9

Water Supply Fixture Unit (WSFU)A dimensionless number assigned by the plumbing code to each fixture type that represents its relative demand on the water supply system, accounting for flow rate and duty cycle.
Hunter's CurveA probability-based curve published in the plumbing codes that converts total accumulated WSFU into a design flow rate in GPM, reflecting the statistical likelihood that all fixtures will not run simultaneously.
Developed LengthThe total equivalent length of a piping run from source to fixture, including the actual pipe length plus the equivalent straight-pipe length of all fittings and valves in the path.
Available PressureThe static water pressure measured at the point of service entrance, before any losses to elevation, fittings, equipment, or friction in the distribution piping.
Allowable Friction LossThe portion of available pressure that may be consumed by pipe friction along the critical path, calculated after subtracting elevation losses, equipment pressure drops, and required residual pressure at the fixture.
Pressure Drop per 100 FeetThe unit friction loss value (in psi per 100 feet of pipe) used to enter the code sizing table; calculated by dividing allowable friction loss by developed length and multiplying by 100.
Critical PathThe flow path from the water meter to the fixture that has the greatest developed length or the greatest pressure demand; the path that controls pipe sizing for the entire system.
Residual PressureThe minimum pressure that must remain at a fixture outlet while it is flowing at design rate; code specifies minimums for different fixture types to ensure proper operation.
Isometric DrawingA three-dimensional schematic of a piping system drawn on 30-degree axes that shows the routing of all pipes, fittings, and fixtures in a single view used for sizing and installation planning.

Worked examples4

1. A branch serves one bathtub (combined WSFU = 4), one lavatory (combined WSFU = 1), and one toilet (cold-only WSFU = 3). What is the total combined WSFU load on the branch serving all three, and what is the cold-only load?
  1. List fixtures and their code WSFU values: bathtub combined = 4, lavatory combined = 1, toilet cold-only = 3.
  2. Combined WSFU (used where hot and cold meet at the branch takeoff from the main): add all combined values — 4 + 1 = 5. The toilet has no hot demand, so its combined value equals its cold-only value of 3. Total combined branch WSFU = 4 + 1 + 3 = 8.
  3. Cold-only WSFU (used to size the cold branch): bathtub cold = bathtub combined = 4 (the code table typically lists the same value for cold when no separate cold-only value is given); lavatory cold = 1; toilet cold = 3. Total cold-only = 4 + 1 + 3 = 8.
  4. Hot-only WSFU (used to size the hot branch): bathtub hot = 4; lavatory hot = 1; toilet requires no hot. Total hot-only = 4 + 1 = 5.
Answer: Combined branch load = 8 WSFU; cold-only branch load = 8 WSFU; hot-only branch load = 5 WSFU.
2. The water meter supplies 65 psi static pressure. The most remote fixture is a showerhead on the second floor, 9 feet above the meter. The meter and PRV together lose 12 psi. The showerhead requires 8 psi residual pressure. The developed length from meter to showerhead is 120 feet. What is the allowable friction loss, and what is the pressure drop per 100 feet to use when entering the sizing table?
  1. Start with available pressure at meter: 65 psi.
  2. Subtract meter and PRV losses: 65 − 12 = 53 psi remaining.
  3. Subtract elevation pressure loss: 9 feet × 0.433 psi/ft = 3.9 psi, round to 3.9 psi. Remaining: 53 − 3.9 = 49.1 psi.
  4. Subtract required residual pressure at fixture: 49.1 − 8 = 41.1 psi. This is the allowable friction loss for the entire developed length.
  5. Calculate pressure drop per 100 feet: (41.1 psi ÷ 120 ft) × 100 = 34.25 psi per 100 feet.
  6. Enter the code sizing table at the row nearest to but not exceeding 34 psi per 100 feet (always use the conservative, lower value if the exact number does not appear in the table).
Answer: Allowable friction loss = 41.1 psi; design pressure drop = approximately 34 psi per 100 feet.
3. A 3/4-inch copper pipe segment carries a design flow of 8 GPM. The IPC sizing table shows that at 8 psi/100 ft, 3/4-inch pipe handles 7.5 GPM and 1-inch pipe handles 14 GPM. Is 3/4-inch acceptable? What size should be selected?
  1. Compare design flow to table capacity: design flow = 8 GPM; 3/4-inch capacity at this pressure drop = 7.5 GPM.
  2. 8 GPM > 7.5 GPM, so 3/4-inch pipe is undersized — it cannot carry the required flow without exceeding the allowable pressure drop.
  3. Check the next nominal size up: 1-inch pipe at the same pressure drop carries 14 GPM, which exceeds 8 GPM.
  4. Select 1-inch pipe. Never round down to a smaller size when the design flow exceeds the table value.
Answer: 3/4-inch is undersized; select 1-inch pipe for this segment.
4. A horizontal run of 1-inch copper pipe is 22 feet long. It contains two 90-degree elbows (equivalent length 2.5 ft each) and one gate valve (equivalent length 0.6 ft). What is the developed length of this segment?
  1. Physical pipe length = 22 ft.
  2. Equivalent length of two 90-degree elbows: 2 × 2.5 ft = 5.0 ft.
  3. Equivalent length of one gate valve: 1 × 0.6 ft = 0.6 ft.
  4. Total fitting equivalent length = 5.0 + 0.6 = 5.6 ft.
  5. Developed length = physical length + fitting equivalent lengths = 22 + 5.6 = 27.6 ft.
Answer: Developed length = 27.6 feet.

The math in this lesson2

Learners total WSFU loads and fitting equivalent lengths for developed-length sizing.
7.NS.3A-SSE.1
Brush up in the math halls at newSchoolWorks.com:
In class: Fixture unit assignment: given a floor plan of a two-story, three-bathroom house with laundry and kitchen, students identify every fixture, assign water supply fixture unit (WSFU) values from the IPC table, and tabulate cold-only, hot-only, and combined loads at each branch point. · Developed-length sizing exercise: using the tabulated WSFU loads and a scaled isometric of the building's distribution system, students measure developed lengths from meter to each critical fixture, select pipe sizes from the code sizing table for the available pressure, and mark sizes on the isometric. · Peer design review: student pairs exchange completed isometrics, check each other's WSFU counts and pipe size selections against the code table, and write one paragraph describing any undersized or oversized pipe segments and the consequence of each error.
Materials: Two-story residential floor plan handout, IPC water supply sizing tables, isometric drawing of distribution system (to scale), ruler, calculator, pencils, IPC/UPC
Check: Isometric drawing with all pipe sizes labeled: checked against instructor answer key; all branch sizes within one nominal pipe size of correct answer accepted; main and critical branch sizes must be exact; minimum score 80%

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

NCCER Plumbing L2 – Water Supply Systems
1. What is the primary purpose of assigning Water Supply Fixture Unit (WSFU) values to plumbing fixtures?
NCCER Plumbing L2 – Water Supply Systems
2. A plumber is sizing the hot-water branch to a bathroom group containing a bathtub (hot WSFU = 4) and a lavatory (hot WSFU = 1). A toilet is also in the group but requires no hot water. What WSFU value should be used to size the hot-water branch?
State Journeyman Plumber – Hydraulics and System Design
3. When calculating allowable friction loss for pipe sizing, which of the following must be subtracted from the available static pressure before dividing by developed length?
NCCER Plumbing L2 – Water Supply Systems
4. A sizing table shows that at the design pressure drop per 100 feet, a 1/2-inch pipe carries 3.5 GPM and a 3/4-inch pipe carries 7.5 GPM. The design flow for a segment is 4.0 GPM. Which pipe size must be selected?
NCCER Plumbing L2 – Water Supply Systems
5. What is the developed length of a 15-foot horizontal pipe run that contains one 90-degree elbow with an equivalent length of 2.5 feet and one swing-check valve with an equivalent length of 7.0 feet?
State Journeyman Plumber – Hydraulics and System Design
6. What is the critical path in a water supply distribution system?
NCCER Plumbing L1 – Safety and Tools
7. A student is pressure-testing a newly installed residential water supply system. Which test medium should be used inside a building to minimize the risk of an explosive failure if a fitting separates under pressure?
ASSE Backflow / Water Quality – Cross-Connection Control
8. An oversized hot-water branch creates a long dead leg that cools below the safe circulation temperature. Which health risk does this condition increase?
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