The figure below shows the soil profile at a site where a 4mx4m square rigid footing is to be constructed at a depth of 2 m below the ground level. The footing carries a load of 8 MN (including the weights of the footing and the fill material). The properties of different soil layers are given in the table below. Based on the elastic settlement of layered soil: XXXXXX (a) Calculate the settlement of the footing due to deformation of the loose sand layer only. (b) Calculate the settlement of the footing due to deformation of the dense sand layer only. (c) Calculate the total settlement of this rigid footing due to the deformation of both layers. 2m Loose Sand Assume the water table is 10 m below the ground surface. 3m Soil V² Yt (kN/m³) E's (MPa) 30 Loose Sand 0.25 18 Dense Sand 90 0.3 20 Dense Sand 2m Rock Mot

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The figure below shows the soil profile at a site where a 4mx4m square rigid footing is to be constructed at a depth of 2 m below the ground level.
The footing carries a load of 8 MN (including the weights of the footing and the fill material). The properties of different soil layers are given in the table below.
Based on the elastic settlement of layered soil:
P
XXXXXX
(a) Calculate the settlement of the footing due to deformation of the loose sand layer only.
(b) Calculate the settlement of the footing due to deformation of the dense sand layer only.
(c) Calculate the total settlement of this rigid footing due to the deformation of both layers.
2m
Assume the water table is 10 m below the ground surface.
3m
Soil
V²
Yt (kN/m³)
E', (MPa)
30
Loose Sand
0.25
18
Dense Sand
90
0.3
20
2m
Loose Sand
Dense Sand
Rock
Not to Scale
Transcribed Image Text:The figure below shows the soil profile at a site where a 4mx4m square rigid footing is to be constructed at a depth of 2 m below the ground level. The footing carries a load of 8 MN (including the weights of the footing and the fill material). The properties of different soil layers are given in the table below. Based on the elastic settlement of layered soil: P XXXXXX (a) Calculate the settlement of the footing due to deformation of the loose sand layer only. (b) Calculate the settlement of the footing due to deformation of the dense sand layer only. (c) Calculate the total settlement of this rigid footing due to the deformation of both layers. 2m Assume the water table is 10 m below the ground surface. 3m Soil V² Yt (kN/m³) E', (MPa) 30 Loose Sand 0.25 18 Dense Sand 90 0.3 20 2m Loose Sand Dense Sand Rock Not to Scale
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