Failure Envelopes and Earth Pressure MCQs

Welcome to our comprehensive collection of Multiple Choice Questions (MCQs) on Failure Envelopes and Earth Pressure, a fundamental topic in the field of Foundation Engineering. Whether you're preparing for competitive exams, honing your problem-solving skills, or simply looking to enhance your abilities in this field, our Failure Envelopes and Earth Pressure MCQs are designed to help you grasp the core concepts and excel in solving problems.

In this section, you'll find a wide range of Failure Envelopes and Earth Pressure mcq questions that explore various aspects of Failure Envelopes and Earth Pressure problems. Each MCQ is crafted to challenge your understanding of Failure Envelopes and Earth Pressure principles, enabling you to refine your problem-solving techniques. Whether you're a student aiming to ace Foundation Engineering tests, a job seeker preparing for interviews, or someone simply interested in sharpening their skills, our Failure Envelopes and Earth Pressure MCQs are your pathway to success in mastering this essential Foundation Engineering topic.

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Failure Envelopes and Earth Pressure MCQs | Page 3 of 19

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Q21.
The stress condition during plastic equilibrium in terms of tangent of angle is _______

a.

\(σ_1=tan⁡(45°+\frac{φ}{2})+σ_3 tan^2 (45°+\frac{φ}{2}) \)

b.

\(σ_1=2c+σ_3 tan^2 (45°+\frac{φ}{2})\)

c.

\(σ_1=2c \,tan⁡(45°+\frac{φ}{2})+σ_3\)

d.

\(σ_1=2c \,tan⁡(45°+\frac{φ}{2})+σ_3 tan^2 (45°+\frac{φ}{2})\)

Discuss
Answer: (d).\(σ_1=2c \,tan⁡(45°+\frac{φ}{2})+σ_3 tan^2 (45°+\frac{φ}{2})\)
Q22.
The flow value is given by ______

a.

\(N_φ=cot^2 (45°+\frac{φ}{2})\)

b.

\(N_φ=cos^2 (45°+\frac{φ}{2})\)

c.

\(N_φ=tan^2 (45°+\frac{φ}{2})\)

d.

\(N_φ=sin^2 (45°+\frac{φ}{2})\)

Discuss
Answer: (c).\(N_φ=tan^2 (45°+\frac{φ}{2})\)
Q23.
The Mohr Coulomb equation in terms of stress components in x-z plane is ______________

a.

\(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\)

b.

\(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} \frac{σ_z+σ_x}{2} sinφ=c cosφ\)

c.

\(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} = c cosφ\)

d.

\(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=cosφ\)

Discuss
Answer: (a).\(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\)
Q24.
Combing the three equations, \(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\), \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0\), and \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0\), lead to the equation called ___________

a.

Kolter’s equation

b.

Terzaghi’s equation

c.

Darcy’s equation

d.

Skempton’s equation

Discuss
Answer: (a).Kolter’s equation
Q25.
The solution of Kolter’s equation gives ____________

a.

permeability of soil

b.

orientation of slip lines

c.

specific gravity of grains

d.

seepage pressure

Discuss
Answer: (b).orientation of slip lines
Q26.
In active state, the major principal stress σ₁ is ____________

a.

horizontal direction

b.

vertical direction

c.

can be both vertical and horizontal direction

d.

in no direction

Discuss
Answer: (b).vertical direction
Q27.
In active state, the minor principal stress σ₃ is _________

a.

horizontal direction

b.

vertical direction

c.

can be both vertical and horizontal direction

d.

in no direction

Discuss
Answer: (a).horizontal direction
Q28.
In passive state, the major principal stress σ₁ ____________

a.

horizontal direction

b.

vertical direction

c.

can be both vertical and horizontal direction

d.

in no direction

Discuss
Answer: (a).horizontal direction
Q29.
In passive state, the minor principal stress σ₃ is _________

a.

horizontal direction

b.

vertical direction

c.

can be both vertical and horizontal direction

d.

in no direction

Discuss
Answer: (b).vertical direction
Q30.
For cohesion-less soil, the ratio of major to minor principal stress is __________

a.

\(\frac{σ_1}{σ_3} = cos^2 (45°+\frac{φ}{2})\)

b.

\(\frac{σ_1}{σ_3} = sin^2 (45°+\frac{φ}{2})\)

c.

\(\frac{σ_1}{σ_3} = tan^2 (45°+\frac{φ}{2})\)

d.

\(\frac{σ_1}{σ_3} = tan^2 (45°-\frac{φ}{2})\)

Discuss
Answer: (c).\(\frac{σ_1}{σ_3} = tan^2 (45°+\frac{φ}{2})\)
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