Heavy Civil & Infrastructure

Rational Method Peak Runoff Calculator

Peak discharge from a small catchment by the rational method (Q = C i A), with the on-site and offsite areas each at its own runoff coefficient.

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Market
Imperial · sales tax
Area inside the site boundary that drains to the point being sized.

Trace it from the contours after grading, not before. Re-grading a pad routinely moves a divide by several metres, and the area that ends up draining to a low point is often not the one the survey suggested.

Fraction of rainfall on the site area that becomes surface runoff.

Take the value from the table in the governing manual for the surface as it will be built, and weight it where the area is mixed. Coefficients published for the same surface differ between jurisdictions, and a reviewer will check yours against their own list rather than a textbook.

Area beyond the boundary whose water crosses onto the site and has to be carried through it.

This is the area most often left out, because the survey stops at the fence and the divide does not. Walk the boundary uphill and find where the water actually comes from — a neighbouring roof, a road crown or a field is under no obligation to drain away from you.

Runoff fraction for the surface beyond the boundary, which is rarely the same as the site's.

Offsite ground is frequently softer than the developed site — grass, scrub or an unmade track — and gets a lower coefficient accordingly. Where the neighbouring land is itself likely to be developed later, some reviewers require the future condition instead of the present one.

Average intensity of the design storm over the catchment's time of concentration (25.4 mm/hr is 1 in/hr).

Intensity falls as duration rises, so the design storm is the one whose duration equals the time it takes water to travel from the furthest point of the catchment to the outlet. A short, intense burst on a paved catchment and a long, gentle one on a large grassed one can produce very different peaks from the same curve.

Peak discharge

1.49 ft³/s

Medium confidence

The Rational Method returns a peak flow and nothing else — no hydrograph, no volume, no timing. It is accepted for small catchments and routinely rejected above a size limit written into the local ordinance, so check that limit before using this figure in a submission.

Total contributing area
34,450 ft²
Area-weighted runoff coefficient
0.63 (C)
Contribution from beyond the boundary
0.31 ft³/s
Share of the peak arriving from offsite
20.79 %
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • The Rational Method, Q = C x i x A, as adopted by local stormwater ordinances for small catchments; the runoff coefficients and the design-storm intensity belong to the reviewing jurisdiction and are entered here rather than supplied
  • Intensity is read from the jurisdiction's intensity-duration-frequency curve at the design return period, for a storm duration equal to the catchment's time of concentration
  • Worked in SI throughout — Q equals C times the intensity in metres per second times the area in square metres — then restated in the unit the visitor's market uses. No 1.008 or 1/360 shortcut factor is applied anywhere

Inputs used

On-Site Contributing Area
21530 sq ft
On-Site Runoff Coefficient
0.8
Offsite Contributing Area
12920 sq ft
Offsite Runoff Coefficient
0.35
Design-Storm Rainfall Intensity (mm/hr)
75

Intermediate steps

Total contributing area
34,450 ft²
Area-weighted runoff coefficient
0.63 (C)
Contribution from beyond the boundary
0.31 ft³/s
Share of the peak arriving from offsite
20.79 %
Final result1.49 ft³/s

Confidence note: The Rational Method returns a peak flow and nothing else — no hydrograph, no volume, no timing. It is accepted for small catchments and routinely rejected above a size limit written into the local ordinance, so check that limit before using this figure in a submission.

What this calculation does not cover

  • Assumes uniform rainfall over the whole catchment for the full duration, and a single time of concentration for both areas.
  • Gives no runoff volume, so it cannot size detention or infiltration storage — those need a hydrograph method.

Add the equipment this sizes

This result is a specification — 1.49 ft³/s — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-08-30 · in the site-wide review of 2026-09-06 · v1.0.0

Regulatory standards & verification citations3
  1. The Rational Method, Q = C x i x A, as adopted by local stormwater ordinances for small catchments; the runoff coefficients and the design-storm intensity belong to the reviewing jurisdiction and are entered here rather than supplied
  2. Intensity is read from the jurisdiction's intensity-duration-frequency curve at the design return period, for a storm duration equal to the catchment's time of concentration
  3. Worked in SI throughout — Q equals C times the intensity in metres per second times the area in square metres — then restated in the unit the visitor's market uses. No 1.008 or 1/360 shortcut factor is applied anywhere
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

Called something else where you work? Sustainable drainage — the term in each market, how close the equivalence really is, and the standard that governs it.

How to calculate rational method peak runoff in 6 steps

  1. On-Site Contributing AreaArea inside the site boundary that drains to the point being sized.
  2. On-Site Runoff CoefficientFraction of rainfall on the site area that becomes surface runoff.
  3. Offsite Contributing AreaArea beyond the boundary whose water crosses onto the site and has to be carried through it.
  4. Offsite Runoff CoefficientRunoff fraction for the surface beyond the boundary, which is rarely the same as the site's.
  5. Design-Storm Rainfall Intensity (mm/hr)Average intensity of the design storm over the catchment's time of concentration (25.4 mm/hr is 1 in/hr).
  6. Peak dischargeThe tool computes the peak discharge from those figures and shows the formula, its sources, and a confidence rating alongside it.

Peak discharge by on-site contributing area

Page defaults, not your figures above.

On-Site Contributing AreaPeak discharge (ft³/s)
10,000 sq ft0.856
15,000 sq ft1.13
20,000 sq ft1.4
25,000 sq ft1.68
30,000 sq ft1.95
35,000 sq ft2.22
40,000 sq ft2.5

Frequently asked questions

Why keep the offsite area separate instead of adding it in?
Because it almost never has the same surface. Lumping a grassed field in with a paved yard under one coefficient either overstates the field or understates the yard, and the area-weighted figure this page computes is what a reviewer expects to see. Keeping them apart also shows how much of the peak is arriving from land you do not control.
How do I convert an intensity given in inches per hour?
Multiply by 25.4, since an inch is 25.4 millimetres by definition. A 2 in/hr design storm is 50.8 mm/hr, and a 4 in/hr one is 101.6 mm/hr. The field on this page is in millimetres per hour so that the arithmetic behind it can stay in SI throughout.
What storm duration should the intensity be read at?
The catchment's time of concentration — the time water takes to travel from the hydraulically most remote point to the outlet. That is the duration at which the whole catchment is contributing at once, which is what produces the peak. Reading a shorter duration overstates the intensity and a longer one understates the peak.
Can I use this to size a detention basin?
No. A detention basin is sized by volume over time, and the Rational Method produces a single peak flow with no hydrograph behind it. Use it to size a pipe, an inlet or a channel that has to pass the peak, and move to a hydrograph method when the question becomes how much water arrives in total.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.