Elements of Elasticity and Stress Distribution MCQs

Welcome to our comprehensive collection of Multiple Choice Questions (MCQs) on Elements of Elasticity and Stress Distribution, a fundamental topic in the field of Geotechnical Engineering. Whether you're preparing for competitive exams, honing your problem-solving skills, or simply looking to enhance your abilities in this field, our Elements of Elasticity and Stress Distribution 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 Elements of Elasticity and Stress Distribution mcq questions that explore various aspects of Elements of Elasticity and Stress Distribution problems. Each MCQ is crafted to challenge your understanding of Elements of Elasticity and Stress Distribution principles, enabling you to refine your problem-solving techniques. Whether you're a student aiming to ace Geotechnical Engineering tests, a job seeker preparing for interviews, or someone simply interested in sharpening their skills, our Elements of Elasticity and Stress Distribution MCQs are your pathway to success in mastering this essential Geotechnical Engineering topic.

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Elements of Elasticity and Stress Distribution MCQs | Page 6 of 19

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Q51.
The equilibrium equations in terms of total stresses formed by summing all forces on z-direction is ________

a.

\(\frac{∂σ_x}{∂x} + \frac{∂τ_{yx}}{∂y} + \frac{∂τ_{zx}}{∂z} +Z=0\)

b.

\(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y}{∂y}+\frac{∂τ_{zy}}{∂z}=0\)

c.

\(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +γ=0\)

d.

\(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\)

Discuss
Answer: (c).\(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +γ=0\)
Q52.
The normal stress in x-direction in terms of effective stress is given by __________

a.

σx= σx’+γw(h-he)

b.

σx= σx’*γw(h-he)

c.

σx= σx’-γw(h-he)

d.

σx= σx’

Discuss
Answer: (a).σx= σx’+γw(h-he)
Q53.
The normal stress in y-direction in terms of effective stress is given by __________

a.

σy= σy’-γw(h-he)

b.

σy= σy’+γw(h-he)

c.

σy= σy’/γw(h-he)

d.

σy= σy’*γw(h-he)

Discuss
Answer: (b).σy= σy’+γw(h-he)
Q54.
The normal stress in z-direction in terms of effective stress is given by __________

a.

σz= γw(h-he)

b.

σz= σz’

c.

σz= σz’+γw(h-he)

d.

σz= σz’-γw(h-he)

Discuss
Answer: (c).σz= σz’+γw(h-he)
Q55.
The partial differential of normal stress in x-direction in terms of effective stress is given by __________

a.

\(\frac{∂σ_x{‘}}{∂x}\)

b.

\(\frac{∂σ_x{‘}}{∂x}-γ_w \frac{∂h}{∂x}\)

c.

\(\frac{∂σ_x{‘}}{∂x}+γ_w \frac{∂h}{∂x}\)

d.

\(\frac{∂σ_x{‘}}{∂x}*γ_w \frac{∂h}{∂x}\)

Discuss
Answer: (c).\(\frac{∂σ_x{‘}}{∂x}+γ_w \frac{∂h}{∂x}\)
Q56.
The partial differential of normal stress in y-direction in terms of effective stress is given by __________

a.

\(\frac{∂σ_y{‘}}{∂y}\)

b.

\(\frac{∂σ_y{‘}}{∂y}-γ_w \frac{∂h}{∂y}\)

c.

\(\frac{∂σ_y{‘}}{∂y}+γ_w \frac{∂h}{∂y}\)

d.

\(\frac{∂σ_y{‘}}{∂y}*γ_w \frac{∂h}{∂y}\)

Discuss
Answer: (c).\(\frac{∂σ_y{‘}}{∂y}+γ_w \frac{∂h}{∂y}\)
Q57.
There are __________ strain components for a three dimensional case.

a.

2

b.

3

c.

6

d.

8

Discuss
Answer: (c).6
Q58.
If u is the displacement in x-direction, the linear strain component in is defined by __________

a.

\(ε_X=\frac{∂u}{∂x}\)

b.

\(ε_X=\frac{∂x}{∂u}\)

c.

\(ε_X=\frac{dx}{du}\)

d.

εₓ=x+u

Discuss
Answer: (a).\(ε_X=\frac{∂u}{∂x}\)
Q59.
If v is the displacement in y-direction, the linear strain component in is defined by __________

a.

\(ε_Y=\frac{∂v}{∂y}\)

b.

\(ε_Y=\frac{∂y}{∂v}\)

c.

\(ε_Y=\frac{dy}{dv}\)

d.

εᵧ=v+y

Discuss
Answer: (a).\(ε_Y=\frac{∂v}{∂y}\)
Q60.
If w is the displacement in z-direction, the linear strain component in is defined by __________

a.

\(ε_Z=\frac{∂w}{∂z}\)

b.

\(ε_Z=\frac{∂z}{∂w}\)

c.

\(ε_Z=\frac{dz}{dw}\)

d.

εz=z+w

Discuss
Answer: (a).\(ε_Z=\frac{∂w}{∂z}\)
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