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Storm Drain Pipe Size Requirement Formula and Calculator

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Storm Drain Pipe Sizing Formula and Calculator

The following formulas can be used to quantify the size of pipe required to accommodate the peak discharge to a given yard or industrial drain system.

Preview: Storm Land Drain Pipe Sizing Calculator

1) Determine contributing area to upstream end of drain,

2) Determine runoff for contributing area

  • Determine design rainfall intensity for the area to be drained,
  • Determine peak discharge (typically using Rational Method)
  • Size pipe for peak discharge and given constraints (typically using Manning’s equation), assume pipes will flow full under design discharge but not be placed under pressure head
  • Repeat process for downstream drains (account for increasing contributing area),

Design considerations:

  • Velocities should be > 2.0 ft/s to avoid siltation and < 10-15 ft/s to avoid damage to system components,
  • Minimum slope of 0.5% is often required,
  • Head losses should be minimized,
  • Minimum drain size is also usually specified in local drainage ordinances; 12-15 inches is a common minimum for street collection culverts,
  • Local ordinances often require the size of storm drains to not decrease in the downstream direction.

Figure 1.0

Formula 1.0, Manning Equation:
d = [ 3.208 · ( n / Kn ) · ( Qp / ( So0.5 ) ] 3/8

Formula 2.0, Darcy-Weisbach Equation:
d = [ 0.811 · ( f / ( g · So ) Qp2 ]1/5

Where:

d = minimum design pipe diameter, ft (m)
n = Manning’s roughness coefficient,
Kn = constant; 1.0 for SI, 1.49 for USCS,
Qp = design peak discharge, ft3/s (m3/s)
So = local slope, %
f = friction factor,
g = gravitational constant ( 32.17405 ft/s2, 9.80665 m/s2 )

To determine your peak discharge requirements see:
Rainfall Runoff Rate Formulas and Calculator

Typical Manning's Roughness Coefficients

Concrete Box Culverts n = 0.012,
Concrete Pipes n = 0.012

Metal Pipes: Pipe and Pipe Arch - Helical Fabrication Re-corrugated Ends - All Flow Conditions
12” to 24” n = 0.020
30” to 54” n = 0.022
60” and larger n = 0.024

Pipe and Pipe Arch - Spiral Rib Fabrication Re-corrugated Ends - All Flow Conditions* All Sizes n = 0.012

Plastic Pipes:
Polyvinyl Chloride-PVC (external rib/smooth interior), All Sizes n = 0.012
Polyethylene (All Sizes) Single Wall n = 0.024, Double Wall (Smooth) n = 0.012
Polypropylene (All Sizes) Single Wall n = 0.024
Double & Triple Wall (Smooth) n = 0.012

Related:

References:

  • Design Charts for Open - Channel Flow, Federal Highway Administraton Hydraulic Design Series NO. 3
  • Hydraulic Engineering Circular No. 22, Third Edition Urban Drainage Design Manual, National Highway Institute