Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 14, Problem 14.9P
(a)
To determine
Draw the variation of Rankine’s active pressure on the wall with depth.
(b)
To determine
Find the depth up to which, a tensile crack can occur.
(c)
To determine
Find the total active force per unit length of the wall before the tensile crack occurs.
(d)
To determine
Find the total active force per unit length of the wall after the tensile crack occurs.
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2
A flexible circular area is subjected to a uniformly distributed load of 450 kN/m² (the figure below). The diameter of the load area is 2 m. Estimate the average stress increase (Aσay) below the center of the loaded
area between depths of 3 m and 6 m.
H₂
1.0
H₂
B
0.8
CHI HD DV
0.6
C
1.0
1.5
0.4
0.2
6.0
8.0.
10.0
2.0
2.5
3.0
4.0
5.0
H₁
(Enter your answer to two significant figures.)
Δσαν τ
kN/m²
6
Refer to the figure below. Using the procedure outlined in your textbook, determine the average stress increase in the clay layer below the center of the foundation due to the net foundation load of 45 tons. Use the
equations:
Aσ =
and
qo x B x L
(B+ z)(L+ z)
Aσ av (H2/H₁)
Δσι +44 + Δσο
net load
6
4:5 ft
10 ft
5ft x 5ft
Sand
Sand
y=100 lb/ft³
Ysat 122 lb/ft³:"
Ysat 120 lb/ft³:
0.7
C=0.25
Groundwater
table
C=0.06
Preconsolidation pressure = 2000 lb/ft²
(Enter your answer to three significant figures.)
Ασαν
=
lb/ft²
Refer to the figure below, which shows a flexible rectangular area. Given: B₁ = 4 ft, B₂ = 6 ft, L₁ = 8 ft, and L2 = 10 ft. If the area is subjected to a uniform load of 4100 lb/ft², determine the stress increase at a
depth of 10 ft located immediately below point O. Use the table below.
T
B(1)
3
B(2)
2
L(1)
*
4
L2)
Table 1 Variation of Influence Value I
n
m 0.8
0.9
1.0
1.2
1.4
0.1 0.02576 0.02698 0.02794 0.02926 0.03007
0.2 0.05042 0.05283 0.05471 0.05733 0.05894
0.3 0.07308 0.07661 0.07938 0.08323 0.08561
0.4 0.09314 0.09770 0.10129 0.10631 0.10941
0.5 0.11035 0.11584 0.12018 0.12626 0.13003
0.6 0.12474 0.13105 0.13605 0.14309 0.14749
0.7 0.13653 0.14356 0.14914 0.15703 0.16199
0.8 0.14607 0.15371 0.15978 0.16843 0.17389
0.9 0.15371 0.16185 0.16835 0.1766 0.18357
1.0 0.15978 0.16835 0.17522 0.18508 0.19139
1.1 0.16843 0.17766 0.18508 0.19584 0.20278
(Enter your answer to three significant figures.)
Aσ =
lb/ft²
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Point loads of magnitude 100, 200, and 380 kN act at B, C, and D, respectively (in the figure below). Determine the increase in vertical stress at a depth of 6 m below point A. Use Boussinesq's equation. B 6 m A 6 m с 3 m D (Enter your answer to three significant figures.) Δαχτ kN/m²arrow_forwardTwo line loads q₁ = 30 kN/m and 92 = 44 kN/m of infinite lengths are acting on top of an elastic medium, as shown in the figure below. Find the vertical stress increase at A. 92 91 6 m 3 m 3 m Δσ A (Enter your answer to three significant figures.) Vertical stress increase at A = kN/m²arrow_forwardA flexible circular area is subjected to a uniformly distributed load of 144 kN/m² (see the figure below). The diameter of the load area is 2 m. Estimate the average stress increase (Aσay) below the center of the loaded area between depths of 3 m and 6 m. Use the equations: 1 Ασ = go 1 [1 + (2) ² ³/2 and Aσ av (H2/H1) Δσι + 41ση + Ασο 6 9 B/2 krark do Δε Aσ (Enter your answer to three significant figures.) Ασαν = kN/m²arrow_forward
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