10-12. The state of stress on a.small element is o, = 28 kPa, o = 14 kPa, %3D and the shear stress on the horizontal plane is +4 kPa. (a) Find the magnitude and directions of the major and minor principal stresses. (b) If the material is a loose sand, can you say whether the element is in a state of failure? If it isn't, how close is it? Why? State your assumptions clearly. (Assume o = 30° for the loose sand.) %3D

Structural Analysis
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Chapter2: Loads On Structures
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10-12. The state of stress on a.small element is
28 kPa, op
14 kPa,
%3D
and the shear stress on the horizontal plane is +4 kPa. (a) Find the
magnitude and directions of the major and minor principal stresses.
(b) If the material is a loose sand, can you say whether the element
is in a state of failure? If it isn't, how close is it? Why? State your
assumptions clearly. (Assume o
30° for the loose sand.)
Transcribed Image Text:10-12. The state of stress on a.small element is 28 kPa, op 14 kPa, %3D and the shear stress on the horizontal plane is +4 kPa. (a) Find the magnitude and directions of the major and minor principal stresses. (b) If the material is a loose sand, can you say whether the element is in a state of failure? If it isn't, how close is it? Why? State your assumptions clearly. (Assume o 30° for the loose sand.)
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