11.2 Part 2 Worked Example: Accumulating DFU and Sizing Every Drain Segment

Key Takeaways

  • In UPC Table 703.2, 1-1/2-inch horizontal drainage pipe carries only 1 DFU, so two lavatories on a horizontal branch require 2-inch pipe.

  • A drain segment receiving a water closet must be at least 3 inches, because Table 703.2 note 3 bars water closets from 2-inch pipe.

  • A 3-inch vertical stack may carry up to 48 DFU and four water closets, but a 3-inch horizontal drain only 35 DFU and three water closets (Table 703.2 note 4).

  • Public Table 702.1 values used on commercial drawings include 4 DFU for a 1.6 gpf water closet, 1 for a lavatory, 2 for a 1.0 gpf integral-trap urinal, and 3 for a mop basin.

  • A drain may not get smaller in the direction of flow; once a segment is 3 inches, everything downstream stays 3 inches or larger.

Last updated: September 2026

Step 1: DFU and Trap Size for Every Fixture (Table 702.1, Public)

FixtureMinimum trap and trap armPublic DFU
Water closet, 1.6 gpf flushometer valve3 in4.0
Lavatory1-1/4 in1.0
Urinal, integral trap, 1.0 gpf2 in2.0
Floor drain2 in2.0
Service or mop basin (2-inch trap)2 in3.0
Drinking fountain1-1/4 in0.5

Restroom group total: 2 × 4.0 + 2 × 1.0 + 2.0 + 2.0 = 14.0 DFU, including 2 water closets.

Step 2: Build the Ledger (Second-Floor Branch, Horizontal)

The limits below come from Table 703.2, horizontal column: 1-1/4 in = 1; 1-1/2 in = 1; 2 in = 8 (no water closets); 3 in = 35 (maximum 3 water closets); 4 in = 216.

SegmentWhat joinsRunning DFUWater closetsH/VMinimum sizeWhy
ALAV-1 trap arm1.00H1-1/4 inTrap arm at the Table 702.1 minimum; 1-1/4-inch arm carries up to 1 DFU (Table 702.2(1))
B+ LAV-22.00H2 in1-1/2-inch horizontal is limited to 1 DFU; 2 inches carries 8
C+ urinal4.00H2 in4 is 8 or less; urinal trap is 2 inches
D+ floor drain6.00H2 in6 is 8 or less
E+ WC-110.01H3 inWater closets not allowed on 2-inch pipe (note 3)
F+ WC-214.02H3 in14 is 35 or less, and 2 water closets is 3 or fewer

Checkpoint: Segment B is the classic trap. Many candidates write 1-1/2 inches for two lavatories. In the horizontal column, 1-1/2-inch pipe allows only 1 DFU, so the answer is 2 inches.

Step 3: The Stack (Vertical)

The limits below come from Table 703.2, vertical column: 1-1/2 in = 2; 2 in = 16 (no water closets); 3 in = 48 (maximum 4 water closets); 4 in = 256. Vertical length limit for 3 inches: 212 feet.

SegmentLoadWater closetsMinimum sizeWhy
G (stack, 2nd floor to 1st floor)14.023 in14 is 48 or less; 2 water closets is 4 or fewer; stack well under 212 feet

Step 4: First-Floor Branch (Horizontal)

SegmentLoadWater closetsMinimum sizeWhy
H (restroom group + mop sink + drinking fountain)14.0 + 3.0 + 0.5 = 17.523 in17.5 is 35 or less; 2 water closets is 3 or fewer

Inside the branch, the mop sink's 2-inch trap arm and the drinking fountain's 1-1/4-inch trap arm are sized from Table 702.1. Any horizontal section carrying only those two fixtures (3.5 DFU) could be 2 inches. Downstream of the first water closet connection, the branch is 3 inches.

Step 5: Building Drain (Horizontal)

SegmentLoadWater closetsMinimum sizeWhy
J (stack + first-floor branch)14.0 + 17.5 = 31.544 in31.5 fits within 3-inch horizontal (35 DFU), but four water closets exceed the three allowed on a 3-inch horizontal (note 4).

Two more checks:

  • Slope: at 1/8 inch per foot (4-inch and larger, AHJ approval), the 4-inch capacity becomes 216 × 0.8 = 172 DFU, still far above 31.5.
  • Washington exception to note 4 (four 1.6 gpf water closets on a 3-inch horizontal) applies only to single-family dwelling additions or alterations with AHJ approval. It does not apply to this office building.

Step 6: Answer Common Question Forms

QuestionAnswer from the ledger
"How many fixture units at segment D?"6
"Minimum size of segment B?"2 inches
"Minimum size of the stack?"3 inches
"Fixture units in the building drain?"31.5
"Minimum size of the building drain?"4 inches

Variations the Exam Can Throw at You

  1. Private occupancy: Change the water closet value to 3.0 and recompute. A private restroom group of 2 water closets, 2 lavatories, and 1 tub/shower totals 3 + 3 + 1 + 1 + 2 = 10 DFU.
  2. A 2-inch trap arm feeding 5 DFU: Table 702.2(1) limits a 2-inch trap to 4 DFU. An unlisted fixture rated by trap size cannot exceed that.
  3. Continuous flow: A 10 gpm continuous discharge adds 20 DFU (702.3).
  4. Battery of three or more clothes washers: use 6 DFU each for common piping (Table 702.1 note 5).
  5. A 1-1/2-inch vertical waste serving two lavatories: allowed (vertical 2 DFU). Two kitchen sinks at 2 DFU each on 1-1/2-inch vertical pipe are not allowed (note 2: sinks may not exceed 1 fixture unit on this size).
  6. Never reduce downstream. If segment E is 3 inches, segments F, G, and J cannot be smaller than 3 inches, even if their DFU alone would allow it.
Test Your Knowledge

On a horizontal branch, two public lavatories drain together before any other fixture joins. What is the minimum size of that horizontal segment under Table 703.2?

A

2 inches

B

3 inches

C

1-1/4 inches

D

1-1/2 inches

Test Your Knowledge

A horizontal building drain carries 31.5 DFU from four 1.6 gpf flushometer water closets and other fixtures in an office building. What is its minimum size?

A

2 inches

B

3 inches

C

4 inches

D

5 inches

Test Your Knowledge

A vertical 3-inch stack receives two floors, each with two water closets, totaling 28 DFU. Does the stack comply with Table 703.2?

A

No, it must be 4 inches for any multistory stack

B

Yes, but only if each floor has fewer than 10 DFU

C

No, 3-inch stacks may carry only two water closets

D

Yes; 3-inch vertical pipe allows 48 DFU and up to four water closets

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