Determine the discharges in channels having the following sections for y = 6 ft, n = 0.015, and S = 0.0020. a) Rectangular section, 20 ft wide. b) Triangular section with a bottom angle equal to 60o c) Trapezoidal section with a bottom width of 20 ft and side slopes of 2:1. d) Parabolic section having a width of 16 ft at the depth of 4 ft.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Determine the discharges in channels having the following sections for y = 6 ft, n = 0.015, and S = 0.0020. a) Rectangular section, 20 ft wide. b) Triangular section with a bottom angle equal to 60o c) Trapezoidal section with a bottom width of 20 ft and side slopes of 2:1. d) Parabolic section having a width of 16 ft at the depth of 4 ft. 

rectangular
trapezoidal
triangular
circular
parabolic
В
B
B
В
b
flow area
(b + mh )h
(0 – sin 0)D²
bh
Bh
A
8 h
B+=-
3 В
wetted perimeter
b+2h 1+m²
2hV1+m²
b+2h
P
hydraulic radius
R,
(b + mh )h
b+2h 1+m²
bh
mh
sin e
2B'h
b+ 2h
2/1+m?
3B +8h
(sin 0/2)D
top width
b+2mh
2mh
or
Ah
2JH(D-h)
B
hydraulic depth
D,
(b+ mh)h
9-sin e]D
sin 0/2]8
b+ 2mh
Transcribed Image Text:rectangular trapezoidal triangular circular parabolic В B B В b flow area (b + mh )h (0 – sin 0)D² bh Bh A 8 h B+=- 3 В wetted perimeter b+2h 1+m² 2hV1+m² b+2h P hydraulic radius R, (b + mh )h b+2h 1+m² bh mh sin e 2B'h b+ 2h 2/1+m? 3B +8h (sin 0/2)D top width b+2mh 2mh or Ah 2JH(D-h) B hydraulic depth D, (b+ mh)h 9-sin e]D sin 0/2]8 b+ 2mh
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