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MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781305577398
Author: Nicholas J. Garber; Lester A. Hoel
Publisher: Cengage Learning US
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Chapter 21, Problem 13P
To determine
(a)
The probability one year later referring to the Markovian transition matrix.
To determine
(b)
The probability two years later referring to the Markovian transition matrix.
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5. (20 Points) Consider a channel width change in
the same 7-foot wide rectangular in Problem 4.
The horizontal channel narrows as depicted
below. The flow rate is 90 cfs, and the energy
loss (headloss) through the transition is 0.05
feet. The water depth at the entrance to the
transition is initially 4'.
1
b₁
TOTAL ENERGY LINE
V² 129
У1
I b₂
TOP VIEW
2
PROFILE VIEW
h₁ = 0.05
EGL
Y₂ = ?
a)
b)
c)
2
Determine the width, b₂ that will cause a
choke at location 2.
Determine the water depth at the
downstream end of the channel transition (y₂)
section if b₂ = 5 feet. Calculate the change in
water level after the transition.
Plot the specific energy diagram showing
all key points. Provide printout in homework.
d) What will occur if b₂ =
= 1.5 ft.?
4. (20 Points) A transition section has been
proposed to raise the bed level a height Dz in a
7-foot wide rectangular channel. The design
flow rate in the channel is 90 cfs, and the
energy loss (headloss) through the transition is
0.05 feet. The water depth at the entrance to
the transition section is initially 4 feet.
b₁ = b = b2
1
TOTAL ENERGY LINE
V² 129
Ут
TOP VIEW
2
hloss = 0.05
"
EGL
Y₂ = ?
PROFILE VIEW
a) Determine the minimum bed level rise, Dz,
which will choke the flow.
b) If the step height, Dz = 1 ft, determine the
water depth (y2) at the downstream end of the
channel transition section. Calculate the
amount the water level drops or rises over the
step.
c) Plot the specific energy diagram showing all
key points. Provide printout in Bework.
d) What will occur if Dz = 3.0 ft.?.
Crest
Front View
1. (20 Points) Determine the critical depth in the
trapezoidal drainage ditch shown below. The
slope of the ditch is 0.0016, the side slopes are
1V:2.5H, the bottom width is b = 14', and the
design discharge is 500 cfs. At this discharge
the depth is y = 4.25'. Also, determine the flow
regime and calculate the Froude number.
Ye= ?
Z
b
Chapter 21 Solutions
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