Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Chapter 8, Problem 9P
To determine
Draw the influence lines for the vertical reactions at supports A and C.
Draw the influence lines for the shear at just to the right of A.
Draw the influence lines for the bending moment at point B.
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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?
Chapter 8 Solutions
Structural Analysis, SI Edition
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Prob. 48PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Prob. 56PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61P
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