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 7 of 19

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Q61.
The shearing strain component in X-Y plane is ________

a.

\(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \)

b.

\(Γ_{xy}=\frac{∂v}{∂x}-\frac{∂u}{∂y} \)

c.

\(Γ_{xy}=\frac{∂v}{∂y}+\frac{∂u}{∂x} \)

d.

\(Γ_{xy}=\frac{∂v}{∂y}-\frac{∂u}{∂x} \)

Discuss
Answer: (a).\(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \)
Q62.
The shearing strain component in Y-Z plane is ________

a.

\(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)

b.

\(Γ_{yz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \)

c.

\(Γ_{yz} =\frac{∂v}{∂y}+\frac{∂w}{∂x} \)

d.

\(Γ_{yz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \)

Discuss
Answer: (a).\(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)
Q63.
The shearing strain component in Z-X plane is ________

a.

\(Γ_{xz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)

b.

\(Γ_{xz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \)

c.

\(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \)

d.

\(Γ_{xz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \)

Discuss
Answer: (c).\(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \)
Q64.
The strain tensor is given by ____________

a.

\begin{pmatrix} ε_{xz} & ε_{xy} & ε_{xx} \\ ε_{yx} & ε_{yz} & ε_{yy} \\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}

b.

\begin{pmatrix} ε_{xy} & ε_{xx} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zy} & ε_{zz} & ε_{zz} \end{pmatrix}

c.

\begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}

d.

\begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz} \\ ε_{yy} & ε_{yx} & ε_{yz} \\ ε_{zz} & ε_{zy} & ε_{zx} \end{pmatrix}

Discuss
Answer: (c).\begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}
Q65.
The strain tensor is given by ____________

a.

\begin{pmatrix} 1/2Γ_{xz} & 1/2Γ_{xy} & ε_{xx} \\ 1/2Γ_{yx} & 1/2Γ_{yz} & ε_{yy} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}

b.

\begin{pmatrix} 1/2Γ_{xy} & ε_{xx} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zy} & ε_{zz} & 1/2Γ_{zz} \end{pmatrix}

c.

\begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}

d.

\begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ ε_{yy} & 1/2Γ_{yx} & 1/2Γ_{yz} \\ ε_{zz} & 1/2Γ_{zy} & 1/2Γ_{zx} \end{pmatrix}

Discuss
Answer: (c).\begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}
Q66.
The linear strain of a diagonal is equal to half the sum shearing strain components.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q67.
The compatibility equations are results of application of stress equations.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (b).False
Q68.
___________ is a compatibility equation.

a.

\(\frac{∂^2 ε_y}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\)

b.

\(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\)

c.

\(\frac{∂^2 ε_x}{∂y^2} -\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\)

d.

\(\frac{∂^2 ε_x}{∂y^2} *\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\)

Discuss
Answer: (b).\(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\)
Q69.
Hooke’s law states that within elastic limit, ______

a.

stress is directly proportional to strain

b.

stress is inversely proportional to strain

c.

stress does not depend on strain

d.

stress is equal to strain

Discuss
Answer: (a).stress is directly proportional to strain
Q70.
The generalised Hooke’s law equation connecting the strain to stress contains ___________ elastic constants.

a.

40

b.

36

c.

39

d.

38

Discuss
Answer: (b).36
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