Drainage Fall Gradient Calculator

Get the exact drop in millimetres your drainage pipe needs over its run.

Result

200.0 mm
0.200 m
1.67%
16.7 mm/m

How it is calculated

A gradient written as "1 in X" means the pipe drops 1 unit for every X units of horizontal run. The tool takes the run length L in metres and the denominator X, and returns the total fall F = L ÷ X in metres, then multiplies by 1000 for millimetres (shown to one decimal). It also gives the same slope as a percentage, 100 ÷ X, and as millimetres of fall per metre of run, 1000 ÷ X. The run must be above zero and X must be at least 1, because a fall larger than the run itself is impossible; an X below 1 (such as 0.5) shows no result, and both fields are required. A larger X means a gentler slope, so 1 in 110 falls less than 1 in 40. The tool does not check whether the gradient suits your pipe diameter or the local rules, which differ between countries, and it measures run along the horizontal, not along the sloping pipe.

Worked example

A 12 m run laid at 1 in 60. Fall in metres: 12 ÷ 60 = 0.2 m. In millimetres: 0.2 × 1000 = 200 mm. As a percentage: 100 ÷ 60 = 1.67%. Per metre of pipe: 1000 ÷ 60 = 16.7 mm. Result: 200.0 mm of fall (0.200 m) over the run, a 1.67% slope, or 16.7 mm/m. So if the upstream invert is at 500 mm below the datum, the downstream end sits at 700 mm.

Try this example →

Common mistakes

  • Entering the gradient as a percentage, for example 2.5, instead of the denominator, 40. A value of 2.5 is read as 1 in 2.5, a 40% slope that gives a huge fall (4,800 mm over 12 m).
  • Typing a gradient below 1, such as 0.5, thinking of a fraction. The field is the X of "1 in X", so values under 1 are rejected and show no result.
  • Typing the run in millimetres or feet. The field is metres, so 12000 for a 12 m run gives a fall a thousand times too large.
  • Mixing up the direction of the gradient. A bigger number such as 1 in 110 is flatter than 1 in 40, so use the smaller denominator when you want more fall.
  • Using the fall as an absolute level. The result is only the drop between the two ends, so add it to the starting invert level yourself.

About this calculator

Drainage pipes are not laid flat — they need a controlled fall so waste flows by gravity without solids settling out (too shallow a fall) or liquid outrunning solids (too steep a fall), and that fall is specified as a ratio like 1-in-40, meaning the pipe drops 1 unit of height for every 40 units it runs horizontally. The fall in millimeters over a given run is simply the run length divided by that gradient number.

Plumbers and groundworkers use this calculation to set invert levels correctly when laying foul or surface water drainage, since building regulations in most countries specify acceptable gradient ranges by pipe diameter and flow type — commonly around 1-in-40 to 1-in-110 for domestic foul drainage — and getting the fall wrong on a buried pipe is expensive to fix after the trench is backfilled.

Multiply the length of the drain run by the gradient it needs and you have the fall in millimetres, so the levels are set right first time.

Was this helpful?

You can pick up to 3 reactions.

Comments

  • Be the first to comment.

Popular calculators

All Calculators