hydraulic depth, in ft, is
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A circular channel has a diameter of 4 ft. If the depth of the water is 2.75 ft, the hydraulic depth,
in ft, is ___.
I determined the subtended angle to be 224*
using my own math I got an answer of 1.71, but using a calulator online I got an answer of 2.33
Used eq. Y=Area/Top width
Transcribed Image Text:Apa
Section:
Area A
Wetted
perimeter P
Hydraulic
radius R
Top
width B
2dR 1 dA
3Rdy A dy
+
Rectangle
B
Bw
▼
Bwy
B₁, + 2y
W
Buy
W
B + 2y
W
Bw
W
W
5B + 6y
3y(B₁ + 2y)
Source: Chow (1959) (with additions).
Trapezoid
-B
-Bw
Z
W
1 y
(B₁+ zy)y
W
Bw + 2yV1 + z²
(B₁ + zy)y
W
Bw + 2yV1 + z2²
B₁, + 2zy
W
(Bw + 2zy)(5B₁ + 6yV1 + z²) + 4zy²V1 + z²
3y(B + zy)(B+ 2yV1 + z²)
W
Triangle
B-
Z
zy²
2yV1 + z²
1
zy
2yV1+z²
2zy
8
3y
Circle
B
-¹- (0 – sin 0)ď²
8
2
1 (1 - sin 0) 4.
0
sin
Odo
www.
2
or
2Vy(d-y)
d
4(2 sin 0 + 30 - 50 cos 0)
3d 0(0 – sin 0) sin (0/2)
where 0 2 cos
2y
x-¹(1-2)
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