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Composite Runoff Coefficient Calculator

Area-weighted Rational Method runoff coefficient across up to six surface types. Enter each surface's C and area; the calculator returns the weighted C, total area, and percent impervious, ready to carry into Q = CiA. Look up C values on the runoff coefficient reference card.

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Leave unused surfaces blank. The impervious fraction counts surfaces entered with C ≥ 0.85 (pavement/roof convention). Frequency factors follow FHWA HEC-22 / ASCE practice: published C values represent ~2–10-yr storms; rarer storms saturate pervious cover and run off harder. Check your local drainage manual — many jurisdictions mandate specific C tables and factors.

$$ C_w = \frac{\sum C_i A_i}{\sum A_i}, \qquad Q = C_w\, C_f\, i\, A $$
Ci surface runoff coefficient · Ai surface area · i rainfall intensity (in/hr) · Q peak flow (cfs, with A in acres).

Common runoff coefficients

Rational Method C by surface (2–10-yr storms)
SurfaceC
Asphalt / concrete pavement0.85–0.95
Roofs0.85–0.95
Gravel roads / parking0.35–0.70
Lawn, sandy soil, flat (<2%)0.05–0.10
Lawn, sandy soil, steep (>7%)0.15–0.20
Lawn, heavy (clay) soil, flat (<2%)0.13–0.17
Lawn, heavy (clay) soil, steep (>7%)0.25–0.35
Woods / undeveloped0.05–0.25
Cultivated fields0.30–0.60

Full tables including composite land-use values are on the runoff coefficient cheat sheet.

Worked example

Example — 12-acre commercial site

Given: 5 ac parking (C = 0.90), 3 ac roofs (C = 0.90), 4 ac lawn on clay soil, flat (C = 0.15). 10-yr design storm.
Σ(C·A) = 0.90(5) + 0.90(3) + 0.15(4) = 4.50 + 2.70 + 0.60 = 7.80
Cw = 7.80 / 12 = 0.65 · impervious = 8/12 = 67%
With tc = 15 min and i10 = 5.2 in/hr: Q = 0.65 × 5.2 × 12 = 40.6 cfs
Cw = 0.65 — carry into the Rational Method calculator with the design intensity.

References: ASCE/WEF (1992). Design and Construction of Urban Stormwater Management Systems. FHWA (2009). Urban Drainage Design Manual, HEC-22, Chapter 3. Chow, Maidment & Mays, Applied Hydrology, Table 15.1.1.

Common mistakes

When this calculator doesn’t apply

Composite C is for the Rational Method, which is generally limited to small drainage areas, often under 100–200 acres depending on the agency. Larger watersheds, storage design and volume-based requirements should use NRCS curve-number methods or hydrograph routing. Use the C values and limits in the governing local drainage manual where one exists.

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