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Drainage Calculations

Drainage Fixtures Unit (DFU) Values
DFU is a measure of the probable discharge into the drainage system by various type of plumbing fixtures. The drainage fixture-unit value for a particular fixture depends on its volume rate of drainage discharge, on the time duration of a single drainage operation and on the average time between successive operations.   Drain Fixture Unit, or DFU, is a plumbing design factor, or a relative measure of the drain wastewater flow or load for various plumbing fixtures.

1 DFU = 1 cubic foot of water drained through a 1 1/4" diameter pipe in one minute.
             (1 ft³ /min water drained through a  1 1/4" diameter pipe).

1 DFU ≈ (approximately) 7.48 US GPM or ≈ 0.47 liters/second.

Refer to following tables for Drainage Fixture Unit (DFU) Value:

Table 11.4.1 (Drainage Fixture Unit (DFU) Values - NSPC 2006

Table 7-3 (Drainage Fixture Unit (DFU) Value - UPC 2006

Notice in the table above that the DFU factor for a plumbing fixture will vary depending on the drain and trap size or diameter.

Some standard DFU values from NSPC Table 11.4.1 for other than dwelling units:
a) Kitchen Sink, Domestic, with one 1-1/2" trap = 2 DFU
b) Lavatory , 1-1/4" Waste                                 = 1 DFU
c) Shower, group, per Head (Continuous flow) = 5 DFU
d) Urinal, 1.0 GPF (Gallons per Flush)              = 4 DFU
e) Water Closet, 1.6 GPF Gravity                      = 4 DFU
f) Floor Drain (FD)                                             = 0 DFU

From Table 11.4.1 (NSPC) and Table 7-3 (UPC),

we can calculate total DFU for horizontal and vertical drainage pipes in each toilets.

UPC 7-3

TABLE 7-3 (UNIFORM PLUMBING CODE)

Fixture Unit Equivalents

The unit equivalent of plumbing fixtures shown in Table 7-3 (UPC) shall be based on the size of trap required, and the unit equivalent of fixtures and devices not shown in Table 7-3 shall be based on the rated discharge capacity in gpm in accordance with Table 7-4.

Fixture Trap Loading
Table 7-4

Size of Drainage Piping

The minimum sizes of vertical and horizontal drainage piping shall be determined from the total of all fixtures units connected and additionally, in the case of vertical drainage pipes, in accordance with their length. Table 7-5 (UPC) and Table 11.5.1B (NSPC) shows the maximum number of fixture unit allowed on any vertical or horizontal drainage pipe, building drain, or building sewer of given size; the maximum number of fixture units allowed on any branch interval of a given size.

Table 7-5 UPC Pipe size
Table 11.5.1B

For example, from Table 7-5 (UPC), it states 2 in (50 mm) pipe can carry total fixture units unto 16 DFU in vertical and 8 DFU in horizontal position. Maximum length can be 26 m in vertical and unlimited in horizontal position. Similar 4 in (100 mm) pipe can carry total fixture units unto 256 DFU in vertical and 216 DFU in horizontal position. Maximum length can be 91 m in vertical and unlimited in horizontal position.

Similarly, Table 11.5.1B (NSPC) states 2 in pipe can carry total fixture units up to 6 DFU in horizontal and 10 DFU in vertical position (stack). 4 in pipe can carry total fixture units upto 160 DFU in horizontal position and 240 DFU in vertical (stack) pipe.

Minimum Trap(Pipe)  Size

Using table 5.2 (NSPC), we get the minimum pipe size to be used for each plumbing fixtures. For example, one Water Closet (WC) = 4 DFU. From table 11.5.1B up to 6 DFU pipe size shall be 2”. But for WC minimum pipe size shall be 3 inch. So even one WC DFU is 4, pipe will be 3 in and not 2 in.

Table 5.2 min trap size_Page_1

Examples for Sizing Drainage Piping

Example -1 : Drainage Pipe (Soil) Pipe Sizing

Example - 2: Drainage Pipe (Waste) Pipe Sizing

Example - 3: Sizing of building drainage sewer (3D Isometric)

Example - 4: Sizing Vertical Stacks

Example - 5: Vertical Offset

Example - 6: Horizontal Branch Drain must be at least 8 feet center to center

Example - 7: Horizontal offset

Example - 5
Example - 6
Example - 7
1116rj_crackingthecode_img3

SIZING THE VENT PIPE SYSTEMS

Use Table 12.16 (NSPC) & Table 7-5 (UPC) to size vent pipe.

​Table 12.16 (National standard plumbing code illustrated) we find that 1-1/2” vent pipe can connect up to 8 drainage fixture units. And 2” vent pipe can connect up to 20 DFU. Each WC has a 1-1/2” vent pipe connected to it as each WC has a value of 4 DFU. As the vent pipes are connected together as shown in figure 1.1 the DFU value exceeds 8 DFU which means that a 2” pipe has to be used.

Table 12.16 Vent Pipe Size
BLACK WATER - FEMALE TOILET - RISER_Page

SIZING OF ROOF DRAINS AND RAIN WATER PIPING

Rainfall Intensity : The amount and rate of rainfall expected in the area is the most important factor. You can usually get the precipitation data from your local code book or online weather bureau.

Once you have found the maximum anticipated rainfall and square feet of roof area, you can calculate the diameter of rainwater pipe from Table 11-1 (Sizing roof drain and vertical rain water piping).

Spacing of Roof Drains : Spcing of roof drain is required to eliminate the puddling on roof surface after a rainfall i.e. in no case shall the surface in the vicinity of the drain be recessed to create a reservoir.


Below figure suggest one way to arrange roof drain and size the storm water pipes for typical roof.

Table 11-1 Rain Water Sizing
Figure 8-25 strom water drinage system.p
FAQs on Drainage System Calculations

1. How are trap sizes selected for plumbing fixtures?

Trap sizes are based on the fixture type and its discharge rate. For example, a lavatory typically requires a 1¼ in. trap, a bathtub 1½ in., and a floor drain 2 in. Traps must be large enough to handle fixture flow but not oversized, to maintain a proper water seal.

2. What is the minimum trap seal depth?

The minimum trap seal is 1½ inches, and maximum is 2 inches. This water seal prevents sewer gases from entering occupied spaces.

3. What is a Drainage Fixture Unit (DFU)?

A DFU is a unit of measure representing the probable discharge into the drainage system by various plumbing fixtures. Each fixture is assigned a DFU value; the sum determines pipe sizing and venting.

4. How are DFUs converted into flow rates?

Codes provide conversion tables. For example:

  • 1 DFU ≈ 7.5 GPM (0.47 L/s) intermittent flow.

  • 2 DFU ≈ 10 GPM (0.63 L/s)

  • 4 DFU ≈ 16 GPM (1.0 L/s)
    This relationship allows engineers to calculate required pipe sizes.

5. How do you determine maximum fixture load on a pipe?

Tables define how many DFUs can be connected:

  • A 2 in. vertical pipe can carry 32 DFUs, while horizontal is limited to 26 DFUs.

  • A 4 in. vertical stack can handle 500 DFUs.
    These limits prevent overload and ensure self-cleansing velocity.

6. What is the maximum length of a drainage pipe?

Maximum lengths vary with diameter and slope. For example:

  • 2 in. vertical pipe → 65 ft max.

  • 3 in. vertical pipe → 212 ft max.

  • Horizontal runs are unlimited if properly vented, but branch lengths are restricted.

7. How are horizontal fixture branches sized?

The number of DFUs that may connect depends on pipe size and number of branch intervals:

  • 2 in. branch → 10 DFUs max.

  • 3 in. branch → 20–35 DFUs.

  • 4 in. branch → 90–500 DFUs depending on intervals.

8. How are vents sized and limited in length?

Vent pipe sizing depends on DFU load and developed length. For example:

  • 2 in. vent supports up to 24 DFUs with 50 ft max length.

  • 3 in. vent supports up to 84 DFUs with 212 ft max length.
    Vents longer than this must be upsized.

9. How do you size stormwater drains and roof leaders?

Storm drainage is sized based on rainfall intensity and roof area:

  • A 3 in. drain handles ~3,200 sq. ft at 2 in./hr rainfall.

  • A 6 in. drain handles ~13,600 sq. ft at same rainfall.
    Larger leaders are used for bigger roof areas or higher rainfall zones.

10. What slope is required for horizontal drainage piping?

Typical minimum slopes:

  • 2½ in. or smaller pipes → ¼ in. per foot (2%).

  • 3–6 in. pipes → ⅛ in. per foot (1%).
    Slopes ensure self-cleansing velocities (~2 ft/s).

11. How do offsets affect stack design?

When a vertical stack offsets horizontally, capacity is reduced. Additional venting may be required. Codes restrict offsets within branch intervals to prevent overload.

12. How are bathroom groups counted in calculations?

A typical bathroom group (toilet, lavatory, bathtub/shower) is assigned a combined DFU value (usually 6–8 DFUs). This simplifies branch sizing.

13. What are the maximum DFUs allowed on a building drain or sewer?

  • 6 in. building drain → up to 3,500 DFUs.

  • 8 in. building drain → up to 10,000 DFUs.
    Exceeding this requires parallel or larger mains.

14. How do vent connections protect trap seals?

Each trap must be vented within a certain distance (usually 2–5 ft depending on pipe size). Vents prevent siphonage and maintain the water seal depth.

15. Why are DFU tables different for vertical vs. horizontal pipes?

Vertical stacks can carry more DFUs because gravity assists flow. Horizontal pipes are limited due to greater risk of surcharge, slower velocity, and partial pipe filling.

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