Problem II. 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. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. b. Determine the change in magnitude of the principal stresses. C. the change in maximum shear stress d. the change in orientation of the principal stress plane resulting from the construction of the foundation.

Structural Analysis
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Chapter2: Loads On Structures
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Problem II. 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. Construction of a surface foundation induces additional stresses consisting
of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal
plane) shear stress of 40 kPa.
a.
Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation.
b. Determine the change in magnitude of the principal stresses.
C.
the change in maximum shear stress
d. the change in orientation of the principal stress plane resulting from the construction of the foundation.
Transcribed Image Text:Problem II. 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. Construction of a surface foundation induces additional stresses consisting of a vertical stress of 45 kPa, a lateral stress of 20 kPa, and a counterclockwise (with respect to the horizontal plane) shear stress of 40 kPa. a. Plot Mohr's circle (1) for the initial state of the soil and (2) after construction of the foundation. b. Determine the change in magnitude of the principal stresses. C. the change in maximum shear stress d. the change in orientation of the principal stress plane resulting from the construction of the foundation.
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