The following twenty problems refer to a transition in a rectangular channel with a bottom elevation change Az, or a change in width from b, to b2, or both. Flow is from section 1 to section 2. A plus Az is upward. Analyze each problem using a specific energy diagram and determine the downstream depth. If the stated upstream flow is not possible, calculate the adjusted upstream conditions as well. Problems 7-21 to 7- 30 are in U.S. customary units and Problems 7-31 to 7-40 are in SL

Structural Analysis
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Problem 7-40
7-43. Determine the critical depth in a trapezoidal channel that has =
7-45. Determine the critical depth in a trapezoidal channel that has
7-44. Repeat Prob. 7-43 using a discharge of 100 cfs.
Problem
Az
(m/s)
(m)
(m)
(m)
(m)
7-31
20
0.2
7-32
20
2
-0.2
7-33
25
-0.2
7-34
20
1
7-35
20
7-36
20
2
0.15
7-37
15
3
7-38
15
3
7-39
15
3
0.
7-40
30
2.5
0.8
1-41. Determine the maximum possible increase in channel bottom e
in the channel of Prob. 7-29 without causing an upstream flow
A2. Determine the minimum downstream width in the channel of P
result in an upstream flow adjustment.
and side slopes of 2 on 1, if the discharge is 500 cfs.
if the discharge is 400 m/s.
nn5 444 321 4
10
5555 554446
Transcribed Image Text:7-43. Determine the critical depth in a trapezoidal channel that has = 7-45. Determine the critical depth in a trapezoidal channel that has 7-44. Repeat Prob. 7-43 using a discharge of 100 cfs. Problem Az (m/s) (m) (m) (m) (m) 7-31 20 0.2 7-32 20 2 -0.2 7-33 25 -0.2 7-34 20 1 7-35 20 7-36 20 2 0.15 7-37 15 3 7-38 15 3 7-39 15 3 0. 7-40 30 2.5 0.8 1-41. Determine the maximum possible increase in channel bottom e in the channel of Prob. 7-29 without causing an upstream flow A2. Determine the minimum downstream width in the channel of P result in an upstream flow adjustment. and side slopes of 2 on 1, if the discharge is 500 cfs. if the discharge is 400 m/s. nn5 444 321 4 10 5555 554446
energy diagram and determine the downstream depth. If the stated upstream flow ip
not possible, calculate the adjusted upstream conditions as well. Problems 7-21 to 7-
The following twenty problems refer to a transition in a rectangular channel with a
bottom elevation change Az, or a change in width from b, to b2, or both. Flow is from
section 1 to section 2. A plus Az is upward. Analyze each problem using a specific
n.
Section 7-3
a
is
30 are in U.S. customary units and Problems 7-31 to 7-40 are in SI unie
b2
(ft)
Az
by
(ft)
Problem
(cfs)
(ft)
(ft)
200
5.5
10
0.3
10
7-21
7-22
200
1.8
10
-0.3
10
7-23
200
5.5
10
-0.3
10
7-24
200
1.8
10
0.3
10
7-25
300
6.0
12
15
7-26
300
1.5
12
15
7-27
250
6.0
12
10
7-28
250
4.0
12
8.
7-29
200
2.0
10
0.3
12
7-30
250
4.8
8.
-0.5
10
Transcribed Image Text:energy diagram and determine the downstream depth. If the stated upstream flow ip not possible, calculate the adjusted upstream conditions as well. Problems 7-21 to 7- The following twenty problems refer to a transition in a rectangular channel with a bottom elevation change Az, or a change in width from b, to b2, or both. Flow is from section 1 to section 2. A plus Az is upward. Analyze each problem using a specific n. Section 7-3 a is 30 are in U.S. customary units and Problems 7-31 to 7-40 are in SI unie b2 (ft) Az by (ft) Problem (cfs) (ft) (ft) 200 5.5 10 0.3 10 7-21 7-22 200 1.8 10 -0.3 10 7-23 200 5.5 10 -0.3 10 7-24 200 1.8 10 0.3 10 7-25 300 6.0 12 15 7-26 300 1.5 12 15 7-27 250 6.0 12 10 7-28 250 4.0 12 8. 7-29 200 2.0 10 0.3 12 7-30 250 4.8 8. -0.5 10
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