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Calcimator

Storm Drain Sizing Calculator

Size storm drain pipes using the Rational Method for flow estimation and Manning's equation for pipe capacity. Selects nearest standard pipe size.

About this calculator

This calculator combines two classic hydraulic tools to turn a drainage area into a pipe size. First, the Rational Method estimates peak design flow as Q = CiA — runoff coefficient C (the fraction of rain that becomes runoff, near 0.9 for pavement, as low as 0.2 for flat lawns) times rainfall intensity i (from local IDF curves for your chosen storm return period) times drainage area A in acres, conveniently yielding flow directly in cubic feet per second. That's a well-established but simplified approach valid for smaller watersheds (roughly under 200 acres) where travel time to the inlet is short and rainfall can be treated as spatially uniform.

Second, the calculator inverts Manning's equation for full-flow circular pipes — Q = (1.486/n)·A·R^(2/3)·S^(1/2), with pipe area A = πD²/4 and hydraulic radius R = D/4 for a full circle — algebraically solving for the diameter D that would carry exactly the design flow at your specified slope and Manning's roughness n (smooth concrete ≈0.012, corrugated metal ≈0.024, PVC/HDPE ≈0.010). Rather than spec a diameter to three decimal places, it then rounds up to the nearest standard commercial pipe size (8 through 96 inches) and recalculates that pipe's actual full-flow capacity and velocity — the number you'd check against a typical 2-10 ft/s self-cleaning, non-erosive velocity window. This assumes gravity flow at full pipe capacity; it doesn't check partial-flow depth, surcharge/inlet conditions, or minimum cover, all of which a complete storm drain design still needs to verify.

Inputs

ASCE: roofs/pavement 0.85–0.95; lawns (flat) 0.10–0.35; cultivated land 0.30–0.50

in/hr
acres
ft/ft

Results

Design Flow (Q)

10 cfs

Selected Pipe Size

18 in

≈ 5 credit cards

Required Diameter17.7 in
Flow Velocity5.94 ft/s
Pipe Capacity10.5 cfs
How to Use This Calculator
  1. Enter runoff coefficient (C) for the drainage area land use.
  2. Set rainfall intensity (in/hr) for the design return period and drainage area (acres).
  3. Review design flow (Q = CiA) and required pipe diameter for your chosen slope.

How the result changes with Runoff Coefficient (C)

Runoff Coefficient (C)Design Flow (Q)Selected Pipe Size
0.255 cfs15 in
0.387.5 cfs18 in
0.7515 cfs21 in
120 cfs24 in

What each input means

Runoff Coefficient (C)
Rational Method runoff coefficient C per ASCE 5/7 and local drainage manuals. Fraction of rainfall that becomes runoff: impervious pavement ≈ 0.90; flat lawns ≈ 0.20; mixed residential ≈ 0.40–0.60.
Rainfall Intensity
Design rainfall intensity from IDF curves for the chosen design storm frequency and time of concentration.
Drainage Area
Total contributing drainage area. The Rational Method is valid for areas up to about 200 acres.
Pipe Slope
Longitudinal slope of the pipe. Typical minimum is 0.005 ft/ft for self-cleaning velocity.
Manning's n
Manning's roughness coefficient. Smooth concrete ≈ 0.012; corrugated metal ≈ 0.024; PVC/HDPE ≈ 0.010.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Runoff Coefficient (C) = 0.5, Rainfall Intensity = 4, Drainage Area = 5, Pipe Slope = 0.01 = 5 input(s) provided
  2. Calculate Design Flow
    Design Flow
    10 = 10
  3. Calculate Selected Pipe Size
    18 = 18
  4. Calculate Required Diameter
    17.7 = 17.7
  5. Calculate Flow Velocity
    Flow Velocity
    5.94 = 5.94

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the Rational Method only apply to smaller drainage areas?

The Rational Method (Q = CiA) assumes rainfall intensity is uniform across the whole watershed and that travel time to the inlet is short enough to ignore storage and attenuation effects — assumptions that hold reasonably well up to about 200 acres but break down for larger, more complex watersheds where a hydrograph-based method is needed instead.

Why does the calculator round the required diameter up to a "Selected Pipe Size"?

Pipe is manufactured only in standard commercial diameters — 8 through 96 inches in this calculator's list — not to an arbitrary decimal. The calculator solves Manning's equation for the exact theoretical diameter needed, then picks the next standard size at or above that value so the design uses a size you can actually purchase and install.

Why does the reported capacity/velocity differ from what the Required Diameter alone implies?

Because the selected pipe is rounded up to the next standard size, it's always slightly larger than the exact theoretical diameter, so its actual full-flow capacity and velocity — recalculated via Manning's equation for that specific selected size — will be somewhat higher than what was strictly required by the design flow.

Why does Manning's roughness coefficient (n) matter so much for pipe sizing?

A rougher pipe material, like corrugated metal at n≈0.024, resists flow more than a smooth one like PVC/HDPE at n≈0.010, so for the same flow and slope a rougher pipe needs a larger diameter to carry the design flow. Manning's n appears directly in the diameter formula, so a higher roughness value meaningfully increases the required pipe size.

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