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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 26P
The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson with a mean of 30 mi/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car.
(a) What is the expected length of queue at the ticket gate, not including the vehicle being served?
(b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served?
(c) What will be the average waiting time of a vehicle?
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Question 2
The following strains are obtained by a 0-60-120 strain rosette: ε0 = 300 x 10-6, 60 =
200 x 10-6 and 120= 150 x 10-6.
i.
Determine strains Ex, Ey and Yxy
ii.
Determine the strains for 0 = 40°
iii.
Calculate principal strains, maximum shear strain and the orientation of
principal strains
iv.
Determine normal stresses (σx, σy) and shear stress (Txy), if E = 200kPa
and v = 0.25.
(Hint: You may use stress-strain relationship for plane strain,
summarised in matric format as follows:
E
σχ
бу
1-v
v
0
Ex
=
v
1-v
0
Ey
txy. (1+v)(1 − 2v) 0
0
0.5 v
A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data:
Wall dimensions: H = 6 m, x1 = 0.6 m, x2 = 2 m, x3 = 2m,
x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m
Soil properties: 71 = 15.5 kN/m³, ₁ = 32°, Y2 = 18 kN/m³,
2=22°, c₂ = 40 kN/m²
H
x6
X2 TXT
X3
Use Coulomb's active earth pressure in your calculation and let ' = 2/3 01. Use Yconcrete = 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in equation
FS (sliding)
(ΣV) tan(k₁₂2) + Bk2c + Pp
Pa cos a
For 1 = 32°, a = 0°, B = 71.57°, Ka = 0.45, 8' = 21.33°.
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
=
For the cantilever retaining wall shown in the figure below, let the following data be given:
Wall dimensions: H = 6.5 m, x1 = 0.3 m, x2 = 0.6 m, x3 = 0.8 m,
x4 2 m, x5 = 0.8 m, D= 1.5 m, a = 0°
Soil properties: 71 = 17.08 kN/m³, ₁ = 36°, Y2 = 19.65 kN/m³,
2 = 15°, c₂ = 30 kN/m²
For 2=15°: N = 10.98; N₁ = 3.94; N₁ = 2.65.
x2
..
c₁ = 0
Φί
H
x5
Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete = 24.58 kN/m³. Also, use k₁ = k2 = 2/3 and P₂ = 0 in equation
(EV) tan(k102) + Bk2c₂ + Pp
FS (sliding)
Pa cos a
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
FS (bearing)
=
=
=
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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