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.

Note: Each of the following question comes with multiple answer choices. Select the most appropriate option and test your understanding of Elements of Elasticity and Stress Distribution. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

So, are you ready to put your Elements of Elasticity and Stress Distribution knowledge to the test? Let's get started with our carefully curated MCQs!

Elements of Elasticity and Stress Distribution MCQs | Page 9 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

Q81.

The shear stress τxz in terms of stress function is given by __________

\(\frac{∂Φ}{∂z}-γx\)

\(-\frac{∂^2Φ}{∂x∂z}-γx\)

\(\frac{∂^2Φ}{∂x^2} -γx\)

\(\frac{∂Φ}{∂x}-γx\)

Discuss

Answer: (b).\(-\frac{∂^2Φ}{∂x∂z}-γx\)

Q82.

For both plane stress as well as plain strain case the equilibrium equation in x-direction is _______

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

\(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}+X=1\)

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

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

Discuss

Answer: (d).\(\frac{∂σ_x}{∂x}+\frac{∂τ_{zx}}{∂z}=0\)

Q83.

For both plane stress as well as plain strain case the equilibrium equation in z-direction is _______

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

\(\frac{∂σ_x}{∂x}+\frac{∂τ_{zx}}{∂z}+γ=1\)

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

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

Discuss

Answer: (a).\(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_z}{∂z}+γ=0\)

Q84.

For two dimensional case, for both plane stress as well as plain strain case the compatibility equation is _______

\(\frac{∂^2 ε_x}{∂z^2} +\frac{∂^2 ε_z}{∂x^2} =\frac{∂^2 Γ_{xz}}{∂x∂z}\)

\(\frac{∂^2 ε_z}{∂z^2} +\frac{∂^2 ε_y}{∂x^2} =\frac{∂^2 Γ_{zy}}{∂z∂y}\)

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

\(\frac{∂^2 ε_z}{∂z^2} +\frac{∂^2 ε_y}{∂x^2} =0\)

Discuss

Answer: (a).\(\frac{∂^2 ε_x}{∂z^2} +\frac{∂^2 ε_z}{∂x^2} =\frac{∂^2 Γ_{xz}}{∂x∂z}\)

Q85.

The compatibility equation in terms of plane stress case is given by ________

\((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂z^2})=0\)

\((\frac{∂^2}{∂y^2} +\frac{∂^2}{∂z^2})(σ_y+σ_z )=0\)

\((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂y^2})(σ_x+σ_y )=0\)

\((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂z^2})(σ_x+σ_z )=0\)

Discuss

Answer: (d).\((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂z^2})(σ_x+σ_z )=0\)

Q86.

The stresses due to self weight of the soil are known as ______________

geostatic stresses

boundary stresses

external stresses

boundary strain

Discuss

Answer: (a).geostatic stresses

Q87.

If XY pane is considered to be ground surface and the z-axis as depth, then this condition is known as _______

semi-infinite

infinite

finite

semi- finite

Discuss

Answer: (a).semi-infinite

Q88.

When there is no eternal loading, the principal is _______

5m below ground plane

ground plane

10m below ground plane

at infinity

Discuss

Answer: (b).ground plane

Q89.

From the symmetry and orthogonality of principal planes ____________

both horizontal and vertical planes will be devoid of shear stress

both horizontal and vertical planes will have shear stress

only vertical plane has shear stress

only horizontal plane has shear stress

Discuss

Answer: (a).both horizontal and vertical planes will be devoid of shear stress

Q90.

The vertical stress at a point within soil mass at a depth z is ____________

σz=γ+z

σz=γ-z

σz=γ/z

σz=γz

Discuss

Answer: (d).σz=γz

Page 9 of 19

Elements of Elasticity and Stress Distribution MCQs | Page 9 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