Principles Of Highway Engineering And Traffic Analysis
7th Edition
ISBN: 9781119493969
Author: Mannering, Fred L., WASHBURN, Scott S.
Publisher: Wiley,
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Chapter 4, Problem 2P
To determine
The number of
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PROBLEM:7–23.
Determine the maximum shear stress acting in the beam at the critical
section where the internal shear force is maximum.
3 kip/ft
ΑΟ
6 ft
DiC
0.75 in.
6 ft
6 in.
1 in.
F
[ 4 in.
C
4 in.
D
6 in.
Fig of prob:7-23
1 in.
6 ft
B
7.60 This abrupt expansion is to be used to dissipate the high-energy flow of water in the 5-ft-diameter penstock. Assume α = 1.0 at all locations.
a. What power (in horsepower) is lost through the expansion?
b. If the pressure at section 1 is 5 psig, what is the pressure at section 2?
c. What force is needed to hold the expansion in place?
5 ft
V = 25 ft/s
Problem 7.60
(2)
10 ft
Chapter 4 Solutions
Principles Of Highway Engineering And Traffic Analysis
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32P
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- 7.69 Assume that the head loss in the pipe is given by h₁ = 0.014(L/D) (V²/2g), where L is the length of pipe and D is the pipe diameter. Assume α = 1.0 at all locations. a. Determine the discharge of water through this system. b. Draw the HGL and the EGL for the system. c. Locate the point of maximum pressure. d. Locate the point of minimum pressure. e. Calculate the maximum and minimum pressures in the system. Elevation 100 m Water T = 10°C L = 100 m D = 60 cm Elevation 95 m Elevation 100 m L = 400 m D = 60 cm Elevation = 30 m Nozzle 30 cm diameter jet Problem 7.69arrow_forwardA rectangular flume of planed timber (n=0.012) slopes 0.5 ft per 1000 ft. (i)Compute the discharge if the width is 7 ft and the depth of water is 3.5 ft. (ii) What would be thedischarge if the width were 3.5 ft and depth of water is 7 ft? (iii) Which of the two forms wouldhave greater capacity and which would require less lumber?arrow_forwardFigure shows a tunnel section on the Colorado River Aqueduct. The area of the water cross section is 191 ft 2 , and the wetted perimeter is 39.1 ft. The flow is 1600 cfs. If n=0.013 for the concrete lining, find the slope.arrow_forward
- 7.48 An engineer is making an estimate for a home owner. This owner has a small stream (Q= 1.4 cfs, T = 40°F) that is located at an elevation H = 34 ft above the owner's residence. The owner is proposing to dam the stream, diverting the flow through a pipe (penstock). This flow will spin a hydraulic turbine, which in turn will drive a generator to produce electrical power. Estimate the maximum power in kilowatts that can be generated if there is no head loss and both the turbine and generator are 100% efficient. Also, estimate the power if the head loss is 5.5 ft, the turbine is 70% efficient, and the generator is 90% efficient. Penstock Turbine and generator Problem 7.48arrow_forwarddesign rectangular sections for the beam and loads, and p values shown. Beam weights are not included in the loads given. Show sketches of cross sections including bar sizes, arrangements, and spacing. Assume concrete weighs 23.5 kN/m'. fy= 420 MPa, and f’c= 21 MPa.Show the shear and moment diagrams as wellarrow_forwardDraw as a 3D object/Isometricarrow_forward
- Post-tensioned AASHTO Type II girders are to be used to support a deck with unsupported span equal to 10 meters. Two levels of Grade 250, 10 x 15.2 mm Ø 7-wire strand are used to tension the girders with 5 tendons per level, where the tendons on top stressed before the ones on the bottom. The girder is simply supported at both ends. The anchors are located 100 mm above the neutral axis at the supports while the eccentricity is measured at 400 mm at the midspan. The tendon profile follows a parabolic shape using a rigid metal sheathing. A concrete topping (slab) 130 mm thick is placed above the beam with a total tributary width of 4 meters. Use maximum values for ranges (table values). Assume that the critical section of the beam is at 0.45LDetermine the losses (friction loss, anchorage, elastic shortening, creep, shrinkage, relaxation). Determine the stresses at the top fibers @ critical section before placing a concrete topping, right after stress transfer. Determine the stress at the…arrow_forwardPlease solve this question in hand writting step by step with diagram drawingarrow_forwardSolve this question pleasearrow_forward
- Please draw shear and moment diagrams with provided information.arrow_forwardShow step by step solutionarrow_forwardDraw the shear and the moment diagrams for each of the frames below. If the frame is statically indeterminate the reactions have been provided. Problem 1 (Assume pin connections at A, B and C). 30 kN 2 m 5 m 30 kN/m B 60 kN 2 m 2 m A 22 CO Carrow_forward
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