10-24. In a direct shear test on a specimen of cohesionless sand, the vertical normal stress on the specimen is 300 kN/m2 and the horizontal shear stress at failure is 200 kN/m². (a) 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. (b) Explain why it is not possible to determine the principal stresses in a direct shear specimen for an applied horizontal shear stress which is not large enough to cause failure. (After A. Casagrande.)
10-24. In a direct shear test on a specimen of cohesionless sand, the vertical normal stress on the specimen is 300 kN/m2 and the horizontal shear stress at failure is 200 kN/m². (a) 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. (b) Explain why it is not possible to determine the principal stresses in a direct shear specimen for an applied horizontal shear stress which is not large enough to cause failure. (After A. Casagrande.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:10-24. In a direct shear test on a specimen of cohesionless sand, the
vertical normal stress on the specimen is 300 kN/m? and the
horizontal shear stress at failure is 200 kN/m². (a) 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. (b) Explain why it is not possible to
determine the principal stresses in a direct shear specimen for an
applied horizontal shear stress which is not large enough to cause
failure. (After A. Casagrande.)
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