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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 6, Problem 17P
To determine
The different shock waves that can be formed and the traffic conditions that will result in each of these shock waves.
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Please explain step by step and show formulas
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
Chapter 6 Solutions
MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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- Please explain step by step and show formulararrow_forwardBeam ABD is supported and loaded as shown. The cross-section of the beam is also shown. The modulus of elasticity of the beam is 200 GPa. 6.0 kN/m Cross-section: 330 mm 4.5 kN 8.0 kNm 40 mm 2.5 m 1.5 m 20 mm Set up the discontinuity moment function in terms of x. List all the appropriate boundary conditions. Determine the slope function in terms of x. Determine the deflection function in terms of x. Determine the support reactions. Determine the maximum deflection. 290 mmarrow_forwardDraw the Shear Force Diagram and Bending Moment Diagram for the beam shown in Fig.1. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forward
- Calculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the Slope Deflection method. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forwardText Book Problem 7.82 (page 261) Consider the total head-loss in the system forthis flow is 18.56 ft (head-losses in first and second pipe are 13.83 ft and 4.73 ftrespectively). Please show numerical values for EGL/HGL at the beginning/end/intermediatechange point. (Point distribution: elevation determination 5 points, EGL, HGL lines 4points).(I think we are just using the values provided for head losses to solve this problem)arrow_forwardCalculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the moment distribution method, and draw the Shear force diagram and Bending moment diagram for the beam shown. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forward
- Calculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the Slope deflection method. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forwardThank you for your help if you would also provide the equations used .arrow_forwardThe sectors are divided as follows:top right = 1, top left = 2, middle = 3, bottom = 4.(a) Determine the distance yˉ to the centroid of the beam’s cross-sectional area.Solve the next questions by building a table. (Table format Answers) (b) Determine the second moment of area (moment of inertia) about the x′ axis. (c) Determine the second moment of area (moment of inertia) about the y-axis.arrow_forward
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