Output
Channel Discharge Q=1.49⁄n Aw R
h2⁄3 So½
= 1.49⁄0.035 (
11)(0.768)
2⁄3(0.01)½
= 39.161 cfs
Channel Flow Velocity V = Q⁄Aw
= 39.161⁄11
= 3.56 ft/s
Freeboard Fb =
1⁄6(d + V2⁄(2(g)))
= 1⁄6(1 + 3.562⁄(2(32.174))) = 0.199 ft
Top Width TW = LB + RB + W
= 3 + 3 + 8 = 14 ft
Manning Equation Variables
Wetted Area of Flow
A
w=(d)(LB)(½) + (d)(RB)(½) + (W)(d)
= (1)(3)(½) + (1)(3)(½) + (1)(8)
= 11 ft2
Wetted Perimeter Pw= RBP + LBP + W
= 3.162 ft +
3.162 ft +
8 ft
= 14.325 ft
Hydraulic Radius Rh=Aw⁄
Pw=11
ft
2 ⁄ 14.325
ft
= 0.768ft
Channel Geometry Variables
Left Bank Width LB = (d)(Left Bank Slope)
= (1)(3) = 3 ft
Right Bank Width RB = (d)(Right Bank Slope)
= (1)(3) = 3 ft
Right bank perimeter length
RBP = √( RB2 + d2 ) = √(32+
12) = 3.162ft
Left bank perimeter length
LBP = √( LB2 + d2 ) = √(32+
12) = 3.162ft