US Customary
Rational Method
Q = C ยท I ยท A
Peak runoff in cfs. Enter NOAA IDF intensities below, choose a return period, then enter Tc to interpolate I automatically.
Rainfall Intensity โ€” IDF Entry
Upload a NOAA IDF screenshot for reference, then enter intensities (in/hr) for each duration and return period.
Upload a NOAA IDF screenshot for reference:
๐Ÿ“ท
Drop NOAA screenshot or tap to browse
IDF ref
Return Period:
Enter the 10-min and 60-min intensities from your NOAA IDF table. Tc is interpolated on a log-log curve between these two points.
Land Use Grp AHigh Infil. Grp BModerate Grp CSlow Grp DVery Slow
Click any row to apply the midpoint Group B value to C below.
Peak Flow Q
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Sharp-Crested Rectangular Weir
Q = (2/3) ยท Cd ยท sqrt(2g) ยท L ยท H^1.5
Francis formula, US customary. g=32.174 ft/sยฒ. L and H in feet, Q in cfs.
Flow Q
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Broad-Crested Weir
Q = 3.087 ยท Cd ยท L ยท H^1.5
US customary critical-flow form. Cd typically 0.84โ€“0.87. L and H in feet, Q in cfs.
Flow Q
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Sump (Low Point) Grate Inlet
Weir: Q = CwยทPยทd^1.5  |  Orifice: Q = CdยทAยทโˆš(2gยทd)
Computes capacity of a grate inlet in a sump condition (no bypass โ€” all flow must enter). Evaluates both weir and orifice equations per HEC-22 and reports which governs. Use for low points, parking lot drains, and ponded areas. US customary throughout.
Depth of water above the grate
HEC-22 recommends 0.5 (50%) for design
Governing Capacity Q
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HEC-22 Sump Transition Criteria
Weir controls when d < 0.4 ft โ€” Q = Cw ยท P ยท d^1.5
Orifice controls when d > 1.4 ft โ€” Q = Cd ยท A ยท โˆš(2gยทd)
Transition zone 0.4 โ‰ค d โ‰ค 1.4 ft โ€” interpolated between weir and orifice
Perimeter P = 2(L+W). Effective area Ae = LยทWยท(1-clog). Clogging only affects orifice regime. HEC-22 recommends 50% clogging for design.
Basin Drawdown โ€” Stage-Storage Routing
dS/dt = Qin - Qout(stage)
Define a stage-storage curve and up to 4 outlet structures. The model time-steps through drawdown. US customary: acres, ft, inches, cfs.
Stage-Storage Curve
Stage = water surface elevation (ft). Enter at least 2 points. Always include Stage = 0 ft, Storage = 0 as the first row โ€” this anchors the curve bottom so the routing can drain to your target stage correctly.
Storage in:
Stage (ft)
Storage (ftยณ)
Outlet Structures (up to 4)
Simulation Settings
Internal calc step. Smaller = more accurate.
How often to show a row in the output table.
Total Drawdown Time
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Routing Table โ€” Every Time Step
Manning's Equation
Q = (1.486/n) ยท A ยท R^(2/3) ยท S^(1/2)
US customary open-channel flow. Select a channel shape, then enter dimensions in feet, slope in ft/ft. Q in cfs.
Flow Q
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Orifice Flow
Q = Cd ยท A ยท sqrt(2g ยท H)
Cd โ‰ˆ 0.6 sharp-edged, 0.82 well-rounded. Dimensions in inches, H in ft, Q in cfs.
Flow Q
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Culvert Capacity
Inlet: Q=CdยทAยทsqrt(2gยทHW) | Outlet: Manning's energy
Calculates inlet- and outlet-controlled capacity. Governing (lower) Q is reported. Circular diameter in inches, box in ft, heads in ft.
Culvert Capacity Q (governing)
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Inlet & Catch Basin Capacity
Grate: Q=CdยทPยทd^1.5 / CdยทAยทโˆš(2gd)  |  Curb: Q=CwยทLยทd^1.5
Interception capacity for grate, curb-opening, combination, and slotted-drain inlets. Based on HEC-22 (FHWA). Gutter spread and depth computed from approach flow. US customary throughout.
Gutter / Approach Flow
Grate Parameters
Intercepted Flow Qi
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Basin Routing โ€” Modified Puls Method
2S/ฮ”t + Oโ‚‚ = (Iโ‚+Iโ‚‚) + (2S/ฮ”t โˆ’ O)โ‚
Routes an inflow hydrograph through a detention basin using the Modified Puls (storage-indication) method. Define a stage-storage curve, outlet structures, and paste or enter an inflow hydrograph. Outputs peak outflow, peak stage, and a routed hydrograph table.
Stage-Storage Curve
Always include Stage = 0 ft, Storage = 0 as the first row. Stage = water surface elevation (ft).
Storage in:
Stage (ft)
Storage (ac-ft)
Outlet Structures (up to 4 โ€” same types as Basin Drawdown)
Inflow Hydrograph
Enter time (min) and flow (cfs) pairs. Paste two columns from a spreadsheet, or add rows manually. Times must be evenly spaced.
Time (min)
Inflow Q (cfs)
Or paste two columns (time, flow) from a spreadsheet:
Routing Settings
Peak Outflow
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Routed Hydrograph
Time of Concentration โ€” Tc
Tc = ฮฃ t_sheet + ฮฃ t_shallow + ฮฃ t_channel + ฮฃ t_pipe
Builds Tc by summing travel times for any combination of flow segments. Add segments in order from upstream to outlet. Methods: TR-55 Sheet Flow, TR-55 Shallow Concentrated Flow, Open Channel (Manning's), and Pipe Flow.
Flow Path Segments (add in upstream โ†’ downstream order)
Total Time of Concentration
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Segment Breakdown
TR-55 Manning's n โ€” Sheet Flow
Surface Description n
Street & Gutter Flow Capacity
Q = (1.486/n) ยท S_x^(5/3) ยท S_L^(1/2) ยท T^(8/3) / (Ku ยท ...)
Computes gutter spread T and ponding depth d for a given flow, or solves for Q given spread. Based on HEC-22 (FHWA 3rd Ed.) for uniform cross-slope gutters. US customary: ft, ft/ft, cfs.
Road Geometry
Spread Width T
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HEC-22 Design Guidelines
Max Spread T
Local roads: T โ‰ค ยฝ lane width (typically โ‰ค 6 ft) for minor storms
Collectors: T โ‰ค driving lane (12 ft) for 10-yr; no curb overtopping 100-yr
Arterials: T โ‰ค shoulder + bike lane for 10-yr; no median flooding 100-yr
Typical Cross-Slopes Sx
Pavement: 0.015โ€“0.040 ft/ft (2% typical)
Depressed gutter: Sw = 0.083 ft/ft (1 in/ft) typical
Min longitudinal slope: 0.003 ft/ft to maintain self-cleaning
Triangular (V-Notch) Weir
Q = (8/15) ยท Cd ยท โˆš(2g) ยท tan(ฮธ/2) ยท H^(5/2)
V-notch weir for low-flow measurement. US customary: H in feet, Q in cfs. ฮธ is the full included notch angle. Cd โ‰ˆ 0.611 for a sharp-edged 90ยฐ notch.
For a 90ยฐ V-notch: Q = 2.50ยทCdยทH^2.5. Accurate for H between 0.2โ€“2.0 ft. Keep H/P > 0.1 and H < P (P = crest height above channel floor).
Flow Rate Q
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Common V-Notch Cd Values
Angle Cd (sharp-edged) Notes
22.5ยฐ0.616Low-flow precision
30ยฐ0.614
45ยฐ0.613
60ยฐ0.612
90ยฐ0.611Most common; Francis eq.
120ยฐ0.608Higher flow range
Trapezoidal & Cipolletti Weir
Q = (2/3)ยทCdยทโˆš(2g)ยทLยทH^(3/2) + (8/15)ยทCdยทโˆš(2g)ยทtan(ฮธ/2)ยทH^(5/2)
Combines a rectangular base with triangular end sections. The Cipolletti weir is a special case with side slopes of 1H:4V (14.04ยฐ) that compensates for end contractions, allowing the rectangular formula to apply directly.
Cipolletti: z = 0.25 (1H:4V). Q = 3.367ยทCdยทLยทH^1.5 in US customary. For general trapezoidal, the triangular side contributions are added separately.
Flow Rate Q
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