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 11 of 19

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Q101.
The Boussinesq equation representing the vertical stress is ___________

a.

\(σ_z=\frac{3}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{5/2}\)

b.

\(σ_z=\frac{3Q}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^5\)

c.

\(σ_z=\frac{3Q}{2πz^2}\left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)

d.

\(σ_z=\frac{3Q}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^2\)

Discuss
Answer: (c).\(σ_z=\frac{3Q}{2πz^2}\left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)
Q102.
The Boussinesq equation representing the tangential stress is ___________

a.

\(τ_{rz}=\frac{3}{2πz^3} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{5/2}\)

b.

\(τ_{rz}=\frac{3Qr}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^5\)

c.

\(τ_{rz}=\frac{3Qr}{2πz^3} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)

d.

\(τ_{rz}=\frac{3Q}{2πz^3} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^2\)

Discuss
Answer: (c).\(τ_{rz}=\frac{3Qr}{2πz^3} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)
Q103.
The Boussinesq influence factor is given by ____________

a.

\(K_B=\frac{3Q}{2πz} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{5/2}\)

b.

\(K_B=\frac{3Q}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)

c.

\(K_B=\frac{3}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)

d.

\(K_B=\frac{3}{2πz} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)

Discuss
Answer: (c).\(K_B=\frac{3}{2π} \left[\frac{1}{1+(\frac{r}{z})^2} \right]^{\frac{5}{2}}\)
Q104.
The intensities of pressure below a point load where r=0 on axis of loading is ____________

a.

\(σ_z=\frac{0.4775Q}{z^2} \)

b.

\(σ_z=\frac{0.7Q}{z^2} \)

c.

\(σ_z=\frac{0.4775Q}{z^3} \)

d.

\(σ_z=\frac{0.8Q}{z}\)

Discuss
Answer: (a).\(σ_z=\frac{0.4775Q}{z^2} \)
Q105.
____________ is not the vertical pressure distribution diagram, which can be prepared by Boussinesq’s theory.

a.

stress isobars

b.

vertical pressure distribution on a horizontal plane

c.

horizontal pressure distribution on a horizontal plane

d.

vertical pressure distribution on a vertical plane

Discuss
Answer: (c).horizontal pressure distribution on a horizontal plane
Q106.
An isobar is a curve connecting all points of _______ below the ground.

a.

equal vertical pressure

b.

unequal vertical pressure

c.

equal horizontal pressure

d.

unequal horizontal pressure

Discuss
Answer: (a).equal vertical pressure
Q107.
An isobar is a curved surface of the shape of _________

a.

circular

b.

rectangle

c.

bulb

d.

hexagon

Discuss
Answer: (c).bulb
Q108.
The zone of soil in isobar is called __________

a.

stress diagram

b.

contour

c.

pressure bulb

d.

isotherm

Discuss
Answer: (c).pressure bulb
Q109.
An isobar diagram consists of __________

a.

family of isobars of various intensities

b.

single isobar only

c.

two isobars only

d.

isobars of same intensities

Discuss
Answer: (a).family of isobars of various intensities
Q110.
An isobar diagram consists of __________The vertical pressure distribution on any horizontal plane at a depth z below the ground due to concentrated load is ___________

a.

family of isobars of various intensities\(σ_z=K_B \frac{Q}{z} \)

b.

single isobar only\(σ_z=K_B \frac{Q}{z^2} \)

c.

two isobars only\(σ_z=K_B \frac{z}{Q} \)

d.

isobars of same intensities\(σ_z=K_B \frac{Q}{z^3} \)

Discuss
Answer: (b).family of isobars of various intensities\(σ_z=K_B \frac{Q}{z^2} \)
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