SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a uniform load is given by the expression. P= (1-1/N) Where N= [1+(r/z)2]1.5 q= uniform load per unit area at the base of the footing r= radius of point of the circular area z= depth of point below the center of the circular loaded area Evaluate the bearing pressure, in kPa, exerted by the footing onto the supporting soil by a 4-m diamter circular footing that is transmitting a load of 1500 kN. 115 119 112

Principles of Geotechnical Engineering (MindTap Course List)
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Author:Braja M. Das, Khaled Sobhan
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Chapter10: Stresses In A Soil Mass
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Problem 10.4P
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SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the
center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a
uniform load is given by the expression.
P= (1-1/N)
Where N= [1+(r/z)2]1.5
q= uniform load per unit area at the base of the footing
r= radius of point of the circular area
2= depth of point below the center of the circular loaded area
Evaluate the bearing pressure, in kPa, exerted by the footing onto the supporting soil by a 4-m
diamter circular footing that is transmitting a load of 1500 kN.
115
119
112
110
SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the
center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a
uniform load is given by the expression.
P= (1-1/N)
Where N= [1+(r/z)2]1.5
q= uniform load per unit area at the báse of the footing
r= radius of point of the circular area
z= depth of point below the center of the circular loaded area
Evaluate the vertical stress, in kPa, at a depth of 6 m below the center of the footing.
19.6
17.5
25.1
22.1
Transcribed Image Text:SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a uniform load is given by the expression. P= (1-1/N) Where N= [1+(r/z)2]1.5 q= uniform load per unit area at the base of the footing r= radius of point of the circular area 2= depth of point below the center of the circular loaded area Evaluate the bearing pressure, in kPa, exerted by the footing onto the supporting soil by a 4-m diamter circular footing that is transmitting a load of 1500 kN. 115 119 112 110 SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a uniform load is given by the expression. P= (1-1/N) Where N= [1+(r/z)2]1.5 q= uniform load per unit area at the báse of the footing r= radius of point of the circular area z= depth of point below the center of the circular loaded area Evaluate the vertical stress, in kPa, at a depth of 6 m below the center of the footing. 19.6 17.5 25.1 22.1
SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the
center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a
uniform load is given by the expression.
P= (1-1/N)
Where N= [1+(r/z)2]1.5
q= uniform load per unit area at the base of the footing
r= radius of point of the circular area
z= depth of point below the center of the circular loaded area
How deep, in meters, below the footing would the pressure be reduced to 1/10 of the pressure
at the base of the footing.
9.01
7.42
6.95
6.55
Transcribed Image Text:SITUATION. In accordance with the Boussinesq Theory, the vertical stress at a point below the center of a flexible circular area in a semi-infinite, homogeneous, isotropic soil mass due to a uniform load is given by the expression. P= (1-1/N) Where N= [1+(r/z)2]1.5 q= uniform load per unit area at the base of the footing r= radius of point of the circular area z= depth of point below the center of the circular loaded area How deep, in meters, below the footing would the pressure be reduced to 1/10 of the pressure at the base of the footing. 9.01 7.42 6.95 6.55
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