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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe95c0ed5-6562-4de3-90f0-5232d13c65eb%2Fecf47d0b-8dcf-4a46-aa4c-97067003cd15%2F0fo63a8_processed.jpeg&w=3840&q=75)
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.
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
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