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 9 of 19

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Q81.
The shear stress τxz in terms of stress function is given by __________

a.

\(\frac{∂Φ}{∂z}-γx\)

b.

\(-\frac{∂^2Φ}{∂x∂z}-γx\)

c.

\(\frac{∂^2Φ}{∂x^2} -γx\)

d.

\(\frac{∂Φ}{∂x}-γx\)

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 _______

a.

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

b.

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

c.

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

d.

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

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 _______

a.

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

b.

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

c.

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

d.

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

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 _______

a.

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

b.

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

c.

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

d.

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

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 ________

a.

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

b.

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

c.

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

d.

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

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 ______________

a.

geostatic stresses

b.

boundary stresses

c.

external stresses

d.

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 _______

a.

semi-infinite

b.

infinite

c.

finite

d.

semi- finite

Discuss
Answer: (a).semi-infinite
Q88.
When there is no eternal loading, the principal is _______

a.

5m below ground plane

b.

ground plane

c.

10m below ground plane

d.

at infinity

Discuss
Answer: (b).ground plane
Q89.
From the symmetry and orthogonality of principal planes ____________

a.

both horizontal and vertical planes will be devoid of shear stress

b.

both horizontal and vertical planes will have shear stress

c.

only vertical plane has shear stress

d.

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 ____________

a.

σz=γ+z

b.

σz=γ-z

c.

σz=γ/z

d.

σz=γz

Discuss
Answer: (d).σz=γz
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