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. Df प q=yD₁ 0.1 Iz (m) I, 9zm B Z₁ = 0.5B 92(1) Z₁ = B Z2=2B L/B=1 (Square) 7. Z2=4B 0.2 Iz (m) I. L/B ≥10 (Strip) I₂ Z2 - Se = C₁C₂(ā — q) Σ Az Es Layer I, at the middle of the layer Az Es Az Es Iz(1) no. Iz(1) Azı 1 Az(1) Es(1) Es(1) G₁ = 1-0.54-q Iz(2) Es(2) 2 Az(2) C210.2 log time in years 0.1 : : Iz(i) Iz(i) Azi i Az(i) Es(i) Es(i) Izo = 0.1+0.0111 1 (-1) ≤ 0.2 : Iz(n) Iz(n) Azn AZ(n) Es(n) Es(n) n I = ΣΕ Δ Es Iz(m) 0.5+0.1 Z1 48 B q'z(1 z(1) 555 (-1) ≤ 1 = 0.5+0.0555 32/32 = 2 + 0.222 ( 1/3 -− 1 ) ≤ 4 Z2 B

Structural Analysis
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Chapter2: Loads On Structures
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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.
Df
प
q=yD₁
0.1
Iz (m)
I,
9zm
B
Z₁ = 0.5B
92(1)
Z₁ = B
Z2=2B
L/B=1
(Square)
7.
Z2=4B
0.2
Iz (m)
I.
L/B ≥10
(Strip)
I₂
Z2
-
Se = C₁C₂(ā — q)
Σ
Az
Es
Layer
I, at the middle
of the layer
Az
Es
Az
Es
Iz(1)
no.
Iz(1)
Azı
1
Az(1)
Es(1)
Es(1)
G₁ = 1-0.54-q
Iz(2)
Es(2)
2
Az(2)
C210.2 log
time in years
0.1
:
:
Iz(i)
Iz(i)
Azi
i
Az(i)
Es(i)
Es(i)
Izo
= 0.1+0.0111
1 (-1) ≤ 0.2
:
Iz(n)
Iz(n)
Azn
AZ(n)
Es(n)
Es(n)
n
I
=
ΣΕ Δ
Es
Iz(m) 0.5+0.1
Z1
48
B
q'z(1
z(1)
555 (-1) ≤ 1
= 0.5+0.0555
32/32 = 2 + 0.222 ( 1/3 -− 1 ) ≤ 4
Z2
B
Transcribed Image Text: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. Df प q=yD₁ 0.1 Iz (m) I, 9zm B Z₁ = 0.5B 92(1) Z₁ = B Z2=2B L/B=1 (Square) 7. Z2=4B 0.2 Iz (m) I. L/B ≥10 (Strip) I₂ Z2 - Se = C₁C₂(ā — q) Σ Az Es Layer I, at the middle of the layer Az Es Az Es Iz(1) no. Iz(1) Azı 1 Az(1) Es(1) Es(1) G₁ = 1-0.54-q Iz(2) Es(2) 2 Az(2) C210.2 log time in years 0.1 : : Iz(i) Iz(i) Azi i Az(i) Es(i) Es(i) Izo = 0.1+0.0111 1 (-1) ≤ 0.2 : Iz(n) Iz(n) Azn AZ(n) Es(n) Es(n) n I = ΣΕ Δ Es Iz(m) 0.5+0.1 Z1 48 B q'z(1 z(1) 555 (-1) ≤ 1 = 0.5+0.0555 32/32 = 2 + 0.222 ( 1/3 -− 1 ) ≤ 4 Z2 B
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