Drainage Slope Calculator 📐

Work out the fall of a drainage pipe, its invert levels and whether it meets the minimum slope. The calculator also gives the pipe's capacity and velocity with Manning's equation, so you can check it carries the flow and stays self-cleansing.

🧮 Inputs

Sanitary pipes are often designed to run half full (50%) and storm pipes full (100%). Enter the actual depth to check a known flow.
Auto calculate enabled (no Calculate button).
Total Fall
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Minimum Slope
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Capacity at Depth
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Velocity at Depth
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Slope Conversions

Fall and Invert Levels

Fall = Length × Slope    Downstream invert = Upstream invert − Fall

At 1% (1:100, 10 mm per metre) a 20 m pipe falls 200 mm. The invert is the lowest inside point of the pipe; levels on drainage drawings are given at the invert (IL).

Minimum Slopes

Pipe sizeIPC Table 704.1 minimum
2½" (DN65) and smaller¼ in/ft (2.08%, about 1:48)
3" to 6" (DN80–DN150)⅛ in/ft (1.04%, about 1:96)
8" (DN200) and larger1/16 in/ft (0.52%, about 1:192)

Other codes use similar values: many European and Gulf specifications ask for about 1:40 to 1:60 for small branches and 1:80 to 1:100 for 100–150 mm drains. Always follow the local code.

Capacity and Self-Cleansing Velocity

Manning's equation, V = (1/n) × R2/3 × S1/2, gives the velocity for the hydraulic radius R at the flow depth. Sewers should reach at least 0.6 m/s (2 ft/s) regularly so solids do not settle, and stay below about 3 m/s to limit erosion and separation of liquids and solids. A half-full pipe has the same velocity as a full one; capacity is half of full bore.

Size drains by fixture units with the Fixture Unit Calculator and rainwater pipes with the Rainwater Pipe Calculator. For drawings see our drainage fitting sections DWG.

FAQ

What is the minimum slope for a 4 inch drain pipe?

Under the IPC, 1/8 inch per foot (about 1%) for 3- to 6-inch pipe, so a 4-inch drain falls at least 1/8 inch for every foot. Many designers use 1/4 inch per foot where space allows.

How do you calculate drainage pipe fall?

Multiply the pipe length by the slope. At 1:100 (1%) a 20 m pipe falls 0.2 m; at 1/4 inch per foot a 40 ft pipe falls 10 inches.

What is 1 in 40 fall in mm per metre?

25 mm per metre, which is 2.5%. 1 in 80 is 12.5 mm per metre (1.25%) and 1 in 100 is 10 mm per metre (1%).

Can a drain pipe be too steep?

Very steep pipes can let the water run ahead of solids. Above about 3 m/s, or slopes much over the code minimum on long runs, use drop manholes or vertical drops instead.

📚 References

  • International Plumbing Code Table 704.1: slope of horizontal drainage piping
  • EN 12056-2 and EN 752: gravity drainage inside and outside buildings
  • Manning's equation for partly full circular pipes

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