y=2.44m, use the equivalent channel roughness formula when calculating Q

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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y=2.44m, use the equivalent channel roughness formula when calculating Q
Calculate the discharge through the channel and the floodway (shown
in the Figure below) for steady uniform flow, with S = 0.0009
n=0.025
12 m
5 m
n=0.040
N
[Σ1 Pint
P
120 m
WAR
Side
slopes
1:1
Use the following equivalent channel roughness formula due to Pavlovskii
(1931)*
ne =
Transcribed Image Text:Calculate the discharge through the channel and the floodway (shown in the Figure below) for steady uniform flow, with S = 0.0009 n=0.025 12 m 5 m n=0.040 N [Σ1 Pint P 120 m WAR Side slopes 1:1 Use the following equivalent channel roughness formula due to Pavlovskii (1931)* ne =
162
TABLE 5.6.1
Geometric functions for channel elements
Section:
Rectangle
Area A
Wetted
perimeter P
Hydraulic
radius R
Top
width B
2 dR
1 dA
+
3R dy A dy
-B
-Bw
Bwy
Bw + 2y
Bwy
Bw +2y
Bw
5Bw+6y
3y(Bw +2y)
1 => +1
Trapezoid
+B
11 y
(Bw+zy)y
Bw +2y √1+z²
(Bw+zy)y
Bw +2y √1+z²
Bw +2zy
(Bw +2zy)(5Bw+6y√1 +z²) +4zy² √₁+z²
3y(Bw+zy)(B+ 2y √1 + z²)
Triangle
zy2
2y √1+z²
Z
zy
2√1+z²
2zy
001ले
3y
y
W
Transcribed Image Text:162 TABLE 5.6.1 Geometric functions for channel elements Section: Rectangle Area A Wetted perimeter P Hydraulic radius R Top width B 2 dR 1 dA + 3R dy A dy -B -Bw Bwy Bw + 2y Bwy Bw +2y Bw 5Bw+6y 3y(Bw +2y) 1 => +1 Trapezoid +B 11 y (Bw+zy)y Bw +2y √1+z² (Bw+zy)y Bw +2y √1+z² Bw +2zy (Bw +2zy)(5Bw+6y√1 +z²) +4zy² √₁+z² 3y(Bw+zy)(B+ 2y √1 + z²) Triangle zy2 2y √1+z² Z zy 2√1+z² 2zy 001ले 3y y W
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