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 17, Problem 17.2P
A 3 m × 4 m footing, founded at 2 m depth in a clay, applies a net pressure of 200 kN/m2. The bed rock lies 10 m below the footing. The modulus of elasticity of the clay is 30 MN/m2. Using Janbu’s generalized relationship [Eq. (17.1)], assuming undrained conditions and flexible footing carrying uniform pressure, estimate the expected settlement.
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CEN-333 Geotechnical
I need help solving this exercise step by step, please.
1. A strip footing with a width of 3 m at a depth of 1.0 m is constructed on a 25 m thick sandy soil stratum.
Given: y=18 kN/m³, the elastic modulus of the sandy soil is 8,500 kN/m², the gross pressure is 200 kN/m².
Estimate the settlement of the footing after 10 years by using the strain influence factor method (Schmertmann
et al. 1978) as outlined below.
q=yD
920
B
I,
z (m)
0.1 Y
I,
Z₁ = 0.5B
Z2=2B
L/B=1
(Square)
9(1)
=B
Z₂ = 4B
z
0.2
Iz (m)
L/B ≥10
(Strip)
Z2
Se = C₁C₂(-9)
Iz
Az
I, at the middle
I₂
Δε
Layer
of the layer
Es
Az
E,
no.
1
Az(1)
Es(1)
Iz(1)
1:0)
- Δει
C₁1 0.5:
q
9-9
Es(1)
time in years
2
Az(2)
Es(2)
Iz(2)
C₂ =1+0.2 log
0.1
i
Az(D)
Es(0)
40
12(0)
Izo = 0.1 0.0111
B
1 (1/3 - 1) ≤ 0.2
Iz(i)
Azi
Es(i)
:
Iz(n)
Iz(n)
n
AZ(n)
Es(n)
Azn
Es(n)
Iz(m)
1,
Az
Z1
NB B
Z2
= 0.5 +0.1
z(1)
55 (1/3-1) ≤1
= 0.5+0.0555
L
0.222 (1/3-1) ≤ 4
= 2 + 0.222
B
Chapter 17 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A 1.8 m square, 2 m deep and 1 m high footing supports a column load of 570 kN. It is supported on a clayey sand. There is no water present at the site. Use unit weight for the concrete 24 kN/m³. A dilatometer test run at the site has returned the following constrained modulus profile: Depth (m) M (MPa) 2 7.7 3 8.8 4 5 10.2 14.8 6 15.4 Plot the modulus distribution with depth considering both the strain distribution with depth and the soil moduli, and divide soil into 5 layers, then determine the average modulus for each soil layer.arrow_forwardA 1.8 m square, 2 m deep and 1 m high footing supports a column load of 570 kN. It is supported on a clayey sand. There is no water present at the site. Use unit weight for the concrete 24 kN/m³. A dilatometer test run at the site has returned the following constrained modulus profile: Depth (m) M (MPa) 2 E 7.7 3 8.8 Calculate the settlement using Schmertman's method for the period after 50 years. Soil unit weight is 21 kN/m³. Use the correlation between elastic and constrained modulus of soil with Poisson's ration 0.33: (1 + v)(1-2v) (1 − v) 4 5 10.2 14.8 M 6 15.4arrow_forwardProblem 1 A 3m x 3m square footing is constructed at a depth of 2m in a 26m deep clay layer with following soil properties: g =16.5kN/m3, Normally Consolidated Clay, eo= 0.65, Cc = 0.25,ms=5 and Es= 6.0 MN/m2. If there is a 1000kN structural load on the footing, calculate the consolidation settlement of the footing. A 2m X 2m footing carrying 1400kN load is constructed in a site with 2.5m thick clay layer under a 2.5m thick sand layer. If the footing and the ground water table are located at 1.5m below the surface, calculate the consolidation settlement of the footing. You may assume the following soil properties: for sand gsat = 19.25kN/m3 and gt = 7kN/m3, and for clay eo= 0.65, Cc = 0.25, Cs = 0.06, s’p = 200kN/m2 and gsat =19.25kN/m3. A 1882kN load is carried by a 2.6m x 2.6m square footing at a depth of 1.4m in a 30 m deep sand layer. Given the following soil properties for soil calculate the total settlement of the footing after 10 years. Where soil properties are: g = 15.9…arrow_forward
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