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.
If the r/z ratio is unity, then the vertical pressure on a horizontal plane is given by _________

a.

\(Οƒ_z=\frac{0.56Q}{z^3} \)

b.

\(Οƒ_z=\frac{0.0844Q}{z^2} \)

c.

\(Οƒ_z=\frac{0.2733Q}{z^2} \)

d.

\(Οƒ_z=\frac{0.4775Q}{z^2} \)

Discuss
Answer: (b).\(Οƒ_z=\frac{0.0844Q}{z^2} \)
Q102.
If the r/z ratio is 2, then the vertical pressure on a horizontal plane is given by _________

a.

\(Οƒ_z=\frac{0.0085Q}{z^2} \)

b.

\(Οƒ_z=\frac{0.0844Q}{z^2} \)

c.

\(Οƒ_z=\frac{0.2733Q}{z^2} \)

d.

\(Οƒ_z=\frac{0.4775Q}{z^2} \)

Discuss
Answer: (a).\(Οƒ_z=\frac{0.0085Q}{z^2} \)
Q103.
When the ground is horizontal, \(Ξ±=\frac{Ο€}{2}\) in constant K. What will be the radial stress Οƒα΅£ due to inclined line load at the horizontal ground surface?

a.

\(Οƒ_r=\frac{Q cos⁑θ}{r}\)

b.

\(Οƒ_r=\frac{2Q cos(ΞΈ-Ξ²)}{Ο€r}\)

c.

\(Οƒ_r=\frac{Q sin⁑θ}{r}\)

d.

\(Οƒ_r=\frac{2Q sin⁑θ}{r}\)

Discuss
Answer: (b).\(Οƒ_r=\frac{2Q cos(ΞΈ-Ξ²)}{Ο€r}\)
Q104.
For any position of point P subtending angle Ξ± with AB, the vertical stress is given by___________

a.

\(Οƒ_z=\frac{q}{aΟ€} [xΞ±(x-Ξ±)] \)

b.

\(Οƒ_z=\frac{q}{aΟ€} \)

c.

\(Οƒ_z=\frac{q}{aΟ€}\left[xΞ±-\frac{az}{(x-Ξ±)^2+z^2}(x-Ξ±)\right] \)

d.

\(Οƒ_z= \left[xΞ±-\frac{az}{(x-Ξ±)^2+z^2}(x-Ξ±)\right] \)

Discuss
Answer: (c).\(Οƒ_z=\frac{q}{aΟ€}\left[xΞ±-\frac{az}{(x-Ξ±)^2+z^2}(x-Ξ±)\right] \)
Q105.
For point P under the support A, the vertical stress is given by __________

a.

\(Οƒ_z=\frac{q}{aΟ€} [xΞ±(x-Ξ±)] \)

b.

\(Οƒ_z=\frac{q}{aΟ€} \)

c.

\(Οƒ_z=\frac{q}{Ο€} \left[\frac{az}{a^2+z^2}\right] \)

d.

\(Οƒ_z=\left[xΞ±-\frac{az}{(x-Ξ±)^2+z^2}(x-Ξ±)\right] \)

Discuss
Answer: (c).\(Οƒ_z=\frac{q}{Ο€} \left[\frac{az}{a^2+z^2}\right] \)
Q106.
For point P under the support B, the vertical stress is given by __________

a.

\(Οƒ_z=\frac{q}{aΟ€} [xΞ±(x-Ξ±)] \)

b.

\(Οƒ_z=\frac{q}{Ο€}Ξ±_B \)

c.

\(Οƒ_z=\frac{q}{Ο€} \left[\frac{az}{a^2+z^2}\right] \)

d.

\(Οƒ_z=\left[xΞ±_B-\frac{az}{(x-Ξ±_B )^2+z^2}(x-Ξ±_B)\right] \)

Discuss
Answer: (b).\(Οƒ_z=\frac{q}{Ο€}Ξ±_B \)
Q107.
The vertical stress distribution diagram on a horizontal plane due to a concentrated load is known as the influence diagram if the load is ______

a.

zero

b.

unity

c.

two units

d.

three units

Discuss
Answer: (b).unity
Q108.
The vertical stress is proportional to __________The maximum value of Οƒz on vertical line is obtained at the point of intersection of vertical plane with radial line at the angle of ____________

a.

\(\frac{z^2}{K_B} \)39°30’

b.

\(\frac{K_B}{z^2} \)39°45’

c.

\(\frac{K_B}{z^3} \)35°15’

d.

\(\frac{z^3}{K_B} \)39°15’

Discuss
Answer: (b).\(\frac{K_B}{z^2} \)39°15’
Q109.
The vertical stress is proportional to __________

a.

\(\frac{z^2}{K_B} \)

b.

\(\frac{K_B}{z^2} \)

c.

\(\frac{K_B}{z^3} \)

d.

\(\frac{z^3}{K_B} \)

Discuss
Answer: (b).\(\frac{K_B}{z^2} \)
Q110.
The vertical stress is proportional to __________The maximum value of Οƒz on vertical line is obtained at the point of intersection of vertical plane with radial line at the angle of ____________The maximum value of Οƒz on vertical line is ____________

a.

\(\frac{z^2}{K_B} \)39°30’\((Οƒ_z)_{max}=\frac{0.0888Q}{r^2} \)

b.

\(\frac{K_B}{z^2} \)39°45’\((Οƒ_z)_{max}=\frac{0.0844Q}{z^4} \)

c.

\(\frac{K_B}{z^3} \)35°15’\((Οƒ_z)_{max}=\frac{0.2733Q}{z^3} \)

d.

\(\frac{z^3}{K_B} \)39°15’\((Οƒ_z)_{max}=\frac{0.4775Q}{z^3} \)

Discuss
Answer: (b).\(\frac{K_B}{z^2} \)39°15’\((Οƒ_z)_{max}=\frac{0.0888Q}{r^2} \)
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