In a direct shear test on a specimen of cohesionless sand, the vertical normal stress on the specimen is 260 kN/m2 and the horizontal shear stress at failure is 130 kN/m2. Assuming uniform stress distribution within the failure zone and a straight line failure envelope which goes through the origin, determine by means of the Mohr circle the magnitude and direction of the principal stresses at failure.

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter12: Shear Strength Of Soil
Section: Chapter Questions
Problem 12.9P
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In a direct shear test on a specimen of cohesionless sand, the vertical normal stress on the specimen is 260 kN/m2 and the horizontal shear stress at failure is 130 kN/m2. Assuming uniform stress distribution within the failure zone and a straight line failure envelope which goes through the origin, determine by means of the Mohr circle the magnitude and direction of the principal stresses at failure.

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