Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 2, Problem 2.4P
For a soil, given:
D10 = 0.08 mm
D30 = 0.22 mm
D60 = 0.41 mm
Calculate the uniformity coefficient and the coefficient of gradation of the soil.
2.4 Repeat Problem 2.3 for the following:
D10 = 0.24 mm
D30 = 0.82 mm
D60 = 1.81 mm
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Using the method of virtual work, for the truss shown below, determine the horizontal displacement of joint A. Take A = 180 mm2 and E = 200 GPa for each member.
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 = 14 kN/m³, ₁ = 32°, 72 = 18 kN/m³,
2=22°, c₂ = 40 kN/m²
Y₁
c₁ = 0
H
Φί
x5
x6
Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.08 kN/m³. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation
FS (sliding)
(ΣV) tan(k102) + Bk2c2 + Pp
Pa cos a
(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 = 8 m, x1 = 0.4 m, x2 = 0.6 m, x3 = 1.5 m,
x4 3.5 m, x5 = 0.96 m, D= 1.75 m, a = 10°
Soil properties: 71 = 14.8 kN/m³, ₁ = 32°, Y₂ = 1
2 = 28°, c = 30 kN/m²
17.6 kN/m³,
The value of Ka is 0.3210. For 2 = 28°: N = 25.80; N₁ = 14.72; N₁ = 16.72.
c=0
H
Χς
Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete = 21.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in the equation
FS (sliding)
(ΣV) tan(k₁₂) + Bk2C + Pp
Pa cosa
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
FS (bearing)
=
Chapter 2 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 2 - Prob. 2.1PCh. 2 - Following are the results of a sieve analysis: a....Ch. 2 - For a soil, given: D10 = 0.08 mm D30 = 0.22 mm D60...Ch. 2 - For a soil, given: D10 = 0.08 mm D30 = 0.22 mm D60...Ch. 2 - Repeat Problem 2.2 with the following results of a...Ch. 2 - Repeat Problem 2.2 with the following results of a...Ch. 2 - The particle characteristics of a soil are given...Ch. 2 - Redo Problem 2.7 according to the USDA system...Ch. 2 - Redo Problem 2.7 according to the AASHTO system...Ch. 2 - In a hydrometer test, the results are as follows:...
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