Traffic And Highway Engineering
Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Chapter 8, Problem 27P
To determine

Different methods by which freeway entrance ramps controlled. Advantages and disadvantages of each method by giving conditionsof each of them used.

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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]
A toll booth on the Thruway experiences an average inter-arrival time of 3 minutes between each vehicle. As an operator, you want to have a mean queue length of at most 2 vehicles. What mean service rate (per hour) will the toll booth need to provide?
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