The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and 50 kPa on the vertical plane (Figure No. 1). Construction of a surface foundation induces additional stresses (Figure No. 2) consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa and a counter clockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle for the initial state of the soil b. Plot Mohr's circle for the final state of the soil c. Determine the change in magnitude of the principal stresses d. Determine the change in maximum shear stress e. Determine the change in the orientation of the principal stress plane

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and
50 kPa on the vertical plane (Figure No. 1). Construction of a surface foundation induces additional
stresses (Figure No. 2) consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa and a
counter clockwise (with respect to the horizontal plane) shear stress of 40 kPa.
a. Plot Mohr's circle for the initial state of the soil
b. Plot Mohr's circle for the final state of the soil
C. Determine the change in magnitude of the principal stresses
d. Determine the change in maximum shear stress
e. Determine the change in the orientation of the principal stress plane
100 kPa
45 kPa
Figure No. 1
45 kPa
40 kPa
Figure No. 2
20 kPa
Transcribed Image Text:The initial principal stresses at a certain depth in a clay soil are 100 kPa on the horizontal plane and 50 kPa on the vertical plane (Figure No. 1). Construction of a surface foundation induces additional stresses (Figure No. 2) consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa and a counter clockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle for the initial state of the soil b. Plot Mohr's circle for the final state of the soil C. Determine the change in magnitude of the principal stresses d. Determine the change in maximum shear stress e. Determine the change in the orientation of the principal stress plane 100 kPa 45 kPa Figure No. 1 45 kPa 40 kPa Figure No. 2 20 kPa
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