Drainage

Culvert Sizing

Culvert sizing calculator — minimum culvert diameter from Manning's equation given design discharge and slope, with standard pipe size selection and velocity check.

Drainage · FHWA HDS-5

Culvert Sizing

This calculator determines the minimum circular culvert diameter needed to convey a design peak flow at a given slope without exceeding full-pipe capacity. It applies Manning's equation for circular pipes flowing full — a conservative preliminary sizing step before headwater and inlet/outlet control analysis.

The computed minimum diameter is rounded up to the next standard pipe size. Full-pipe velocity is then checked against the specified minimum (typically 2.5 fps for storm culverts, 3.0 fps for sanitary or debris-laden flows). For final design, headwater depth must be evaluated under both inlet control (FHWA HDS-5 nomographs) and outlet control (energy balance with entrance, friction, and exit losses).

Manning's — Circular Full Flow, Solve for D
Q = (1.486/n) · A · R^(2/3) · S^(1/2)   [A = πD²/4, R = D/4] D_min = [Q · n / (0.4632 · S^0.5)]^(3/8)   [ft] Constant 0.4632 = 1.486 · (π/4) · (¼)^(2/3)
Reference: FHWA Hydraulic Design of Highway Culverts (HDS-5), 3rd Ed., 2012; AASHTO Model Drainage Manual. Use this as a preliminary sizing tool only — verify with full HDS-5 inlet/outlet control analysis.

Culvert Sizing Calculator

Circular pipe — Manning's full-flow · imperial units

Peak discharge from Rational Method, TR-55, or hydrologic analysis
Longitudinal slope in ft/ft — e.g., 0.005 = 0.5%
Self-cleansing min: 2.5 fps storm · 3.0 fps sanitary/debris
Culvert Sizing Results
Minimum Calculated Diameter
Recommended Standard Size
Full-Pipe Capacity at Std. Size
Full-Pipe Velocity at Std. Size
Velocity Check
Pipe Cross-Section Area
Hydraulic Radius
Full-pipe Manning's is a preliminary sizing tool. Final culvert design requires inlet/outlet control analysis per FHWA HDS-5 including headwater depth and outlet energy dissipation. Requires PE review.

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