CHCalcHandbook

Manning's Equation — Rectangular & Trapezoidal Channel

Open Channel · Manning's Equation · Normal Depth, Velocity, Discharge & Froude Number
1

Channel geometry, slope and discharge

Bottom width, side slope, bed slope, roughness and design discharge
Model: Q is the design discharge. The normal depth yn is solved NUMERICALLY (by bisection) so that Manning's equation gives Q(y)=Qdesign — a trapezoidal section has no closed-form solution for y. A rectangular section is the special case of side slope z=0.
2

Normal depth, velocity and Froude number

yn, V, Fr — flow regime
3

Section properties

Area, wetted perimeter, hydraulic radius, top width
4

Formulas and substitution

Calculation steps ready to paste into a report