The state plane stress in a mass of dense cohesionless sand (c=0) is described by the following stresses: Normal stress on horizontal plane = 100 kPa Normal stress on vertical plane = 50 kPa Shear stress on horizontal and vertical planes = ± 30 kPa Determine by means of the Mohr circle the magnitude and direction of the principal stresses. Is this state of stress safe against failure assuming φ= 30o?

Principles of Geotechnical Engineering (MindTap Course List)
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Chapter10: Stresses In A Soil Mass
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Problem 10.2P
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The state plane stress in a mass of dense cohesionless sand (c=0) is described by the following stresses:

Normal stress on horizontal plane = 100 kPa

Normal stress on vertical plane = 50 kPa

Shear stress on horizontal and vertical planes = ± 30 kPa

Determine by means of the Mohr circle the magnitude and direction of the principal stresses. Is

this state of stress safe against failure assuming φ= 30o?

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