1. The Mohr’s theory of failure can be symbolically expressed as ____________

a) τmax=F(σn) and σmax–σmin = f(σmax +σmin)

b) τmax = σmax– σmin

c) None of the mentioned

d) All of the mentioned

Explanation: Mohr’s theory of failure can be symbolically expressed as:

σmax–σmin = f (σmax +σmin) or τmax=f (σn).

2. The concept of a three dimension yield envelope was presented by _________

a) D.C. Drucker and Prager

b) Mohr

c) None of the mentioned

d) All of the mentioned

Explanation: The effect of intermediate principal was studied by D.C. Drucker and W. Prager in 1952, who proposed the concept of a three dimensional yield envelope.

3. A major drawback of Mohr criterion is __________

a) Shape of the envelope

b) Principal stress

c) Shape of the plane

d) All of the mentioned

Explanation: The major drawback of Mohr criterion is that the curved shape of the envelope, hence the functional form of the equation τmax=F (σn) is not amendable to mathematical computation.

4. The yield or failure criterion can be expressed as ____________

a) f(I1,I2)=0

b) f(I1,I2,I3)=0

c) f(σ1,σ2,σ3)=0

d) f(σmax +σmin)

Explanation: The yield criterion may be expressed as f (I1, I2, I3) = 0

Where I1, I2, I3 are the invariant of stress.

5. If the auxiliary plane in hydrostatic axis passes through the origin, then its equation is _____________

a) σ1+σ2+σ3=0

b) σ1+σ2+σ3=constant

c) I1+ I2+I3 =0

d) f(σ1,σ2,σ3)=0

Explanation: If the auxiliary plane passes through the origin its equation is σ1+σ2+σ3=0 and equation will be σ1+σ2+σ3=constant if the plane is perpendicular to the hydrostatic axis.

6. The intersection of the yield surface or envelope with octahedral plane is called ____________

a) Yield point

b) Deviation point

c) Failure locus

d) Space diagonal

Explanation: The intersection of yield surface with octahedral plane is called the failure locus. A point on the failure locus represents the stress state at incipient failure.

7. The hydrostatic pressure’s inability to produce failure under normal pressure was first demonstrated by ___________

a) Cross land

b) W. Pager

c) D.C. Drucker

d) Mohr

Explanation: Experiments conducted by Cross land in 1965 have demonstrated that a pure state of hydrostatic pressure is unable to produce failure even under enormous pressure.

8. Which of the following equation represent hydrostatic pressure in its purest form?

a) σ1+σ2+σ3=0

b) σ1+σ2+σ3=constant

c) σ1=σ2=σ3

d) σmax+ σmin

Explanation: According to cross land σ1=σ2=σ3 represent hydrostatic pressure in its purest form.

9. The Mohr-Coulomb criterion assumes that the strength of the soil is independent of ____________

a) σ1

b) σ2

c) σ3

d) All of the mentioned

Explanation: The Mohr-Coulomb criterion implicitly assumes that the strength is independent of the intermediate principal stress σ2.

10. The auxiliary plane in the hydrostatic axis can also be called as ___________

a) Failure plane

b) Octahedral plane

c) Deviatoric plane

d) Principal plane

Explanation: Since all the points in the auxiliary plane represent deviatorial state of stress, the plane is also called the deviatoric plane.