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hydraulic depth, in ft, is

hydraulic depth, in ft, is

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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

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)
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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