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

Discover more Topics under Geotechnical Engineering

01.

Geotechnical Engineering Basic Concepts

02.

Index Properties Determination

03.

Classification of Soils

04.

Soil Structure and Clay Minerology

05.

Soil Water Effective and Neutral Stresses

06.

Permeability

07.

Well Hydraulics

08.

Seepage Analysis

09.

Drainage and Dewatering

10.

One Dimensional Consolidation

11.

Compaction

12.

Shear Strength

Q61.

The shearing strain component in X-Y plane is ________

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

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

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

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

Discuss

Answer: (a).\(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \)

Q62.

The shearing strain component in Y-Z plane is ________

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

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

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

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

Discuss

Answer: (a).\(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)

Q63.

The shearing strain component in Z-X plane is ________

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

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

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

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

Discuss

Answer: (c).\(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \)

Q64.

The strain tensor is given by ____________

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

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

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

\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 ____________

\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}

\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}

\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}

\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.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q67.

The compatibility equations are results of application of stress equations.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q68.

___________ is a compatibility equation.

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

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

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

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

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, ______

stress is directly proportional to strain

stress is inversely proportional to strain

stress does not depend on strain

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.

Discuss

Answer: (b).36

Page 7 of 19

Elements of Elasticity and Stress Distribution MCQs | Page 7 of 19

Discover more Topics under Geotechnical Engineering

Geotechnical Engineering Basic Concepts

Index Properties Determination

Classification of Soils

Soil Structure and Clay Minerology

Soil Water Effective and Neutral Stresses

Permeability

Well Hydraulics

Seepage Analysis

Drainage and Dewatering

One Dimensional Consolidation

Compaction

Shear Strength