PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 3, Problem 62P
To determine
The elevation of the lowest point of the curve.
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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)
As shown in the figure below, a 1.5 m × 1.5 m footing is
carrying a 400 kN load.
P
Depth (m)
0.0
1.0
2.0
Df
Groundwater
table
(Yw = 9.81 kN/m³)
3.5
Yt = 16.5 kN/m³
E = 9,000 kPa
Sandy
soil
Ysat 17.5 kN/m³
E = 15,000 kPa
6.0
Stiff Clay
(OCR = 2)
Bedrock
Ysat 18.0 kN/m³
eo = 0.8
Cc = 0.15, Cr = 0.02
Eu =40,000 kPa
(a) Estimate the immediate settlement beneath the center of the
footing. Assuming that Poisson's ratios of sand and soft clay are
0.3 and 0.5, respectively. Use numerical integration approach.
For the calculations, use layers (below the bottom of the footing)
of thicknesses: 1 m; 1.5 m, and 2.5 m.
(b) Determine the primary consolidation settlement beneath the
center of the footing.
(c) Redo Part (b) if OCR=1.1.
Note: Use the 2:1 method to determine the stress increase below
the footing. For parts (b) and (c), use the one-dimensional
consolidation theory.
Assuming that the whole DMV is only handled by one queue and one server and both the arrival rate
(20 customer per hour) and the service rate (30 customers per hour) random variables are Markovian.
(a) What is the mean queue length? [3 pts]
(b) Percentage of Idle time of the server? [3 pts]
(c) Average number in the queue? [3 pts]
(d) Average number in the system? [3 pts]
(e) The average wait time in the queue? [3 pts]
(f) The average wait time in the system? [3 pts]
(g) The probability that no one is in the system. [2 pts]
Chapter 3 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67P
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