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.
Step 1: DFU and Trap Size for Every Fixture (Table 702.1, Public)
| Fixture | Minimum trap and trap arm | Public DFU |
|---|---|---|
| Water closet, 1.6 gpf flushometer valve | 3 in | 4.0 |
| Lavatory | 1-1/4 in | 1.0 |
| Urinal, integral trap, 1.0 gpf | 2 in | 2.0 |
| Floor drain | 2 in | 2.0 |
| Service or mop basin (2-inch trap) | 2 in | 3.0 |
| Drinking fountain | 1-1/4 in | 0.5 |
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.
| Segment | What joins | Running DFU | Water closets | H/V | Minimum size | Why |
|---|---|---|---|---|---|---|
| A | LAV-1 trap arm | 1.0 | 0 | H | 1-1/4 in | Trap arm at the Table 702.1 minimum; 1-1/4-inch arm carries up to 1 DFU (Table 702.2(1)) |
| B | + LAV-2 | 2.0 | 0 | H | 2 in | 1-1/2-inch horizontal is limited to 1 DFU; 2 inches carries 8 |
| C | + urinal | 4.0 | 0 | H | 2 in | 4 is 8 or less; urinal trap is 2 inches |
| D | + floor drain | 6.0 | 0 | H | 2 in | 6 is 8 or less |
| E | + WC-1 | 10.0 | 1 | H | 3 in | Water closets not allowed on 2-inch pipe (note 3) |
| F | + WC-2 | 14.0 | 2 | H | 3 in | 14 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.
| Segment | Load | Water closets | Minimum size | Why |
|---|---|---|---|---|
| G (stack, 2nd floor to 1st floor) | 14.0 | 2 | 3 in | 14 is 48 or less; 2 water closets is 4 or fewer; stack well under 212 feet |
Step 4: First-Floor Branch (Horizontal)
| Segment | Load | Water closets | Minimum size | Why |
|---|---|---|---|---|
| H (restroom group + mop sink + drinking fountain) | 14.0 + 3.0 + 0.5 = 17.5 | 2 | 3 in | 17.5 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)
| Segment | Load | Water closets | Minimum size | Why |
|---|---|---|---|---|
| J (stack + first-floor branch) | 14.0 + 17.5 = 31.5 | 4 | 4 in | 31.5 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
| Question | Answer 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
- 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.
- 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.
- Continuous flow: A 10 gpm continuous discharge adds 20 DFU (702.3).
- Battery of three or more clothes washers: use 6 DFU each for common piping (Table 702.1 note 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).
- 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.
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?
2 inches
3 inches
1-1/4 inches
1-1/2 inches
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?
2 inches
3 inches
4 inches
5 inches
A vertical 3-inch stack receives two floors, each with two water closets, totaling 28 DFU. Does the stack comply with Table 703.2?
No, it must be 4 inches for any multistory stack
Yes, but only if each floor has fewer than 10 DFU
No, 3-inch stacks may carry only two water closets
Yes; 3-inch vertical pipe allows 48 DFU and up to four water closets
Sections you finish are checked off in the contents.