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 2 of 19

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Q11.
The following diagram represents the contact pressure of __________

a.

real elastic material

b.

intermediate soil

c.

cohesionless soil

d.

gravel

Discuss
Answer: (a).real elastic material
Q12.
The following diagram represents the contact pressure of __________

a.

real elastic material

b.

intermediate soil

c.

cohesionless soil

d.

gravel

Discuss
Answer: (b).intermediate soil
Q13.
The following diagram represents the contact pressure of __________

a.

real elastic material

b.

intermediate soil

c.

cohesionless soil

d.

gravel

Discuss
Answer: (c).cohesionless soil
Q14.
In simple radial distribution, the three stress components σr, σθ and τrθ are given by ___________

a.

\(σ_r=K \frac{Q cos⁡θ}{r}, σ_θ=0 \,and\, τ_{rθ}=0 \)

b.

σr=KQ, σθ=0 and τrθ=0

c.

\(σ_r=\frac{Q cos⁡θ}{r}, σ_θ=0 \,and\, τ_{rθ}=0\)

d.

σr=0, σθ=0 and τrθ= 0

Discuss
Answer: (a).\(σ_r=K \frac{Q cos⁡θ}{r}, σ_θ=0 \,and\, τ_{rθ}=0 \)
Q15.
In simple radial distribution, if \(σ_r=K \frac{Q cos⁡θ}{r},\) then the value of K is ________

a.

K=\(\frac{2}{2α+sin2α}\)

b.

K=2α+sinα

c.

K=2α-sinα

d.

K=sinα

Discuss
Answer: (a).K=\(\frac{2}{2α+sin2α}\)
Q16.
When the ground is horizontal, \(α=\frac{π}{2}\) in constant K. What will be the radial stress σᵣ due to vertical line load?

a.

\(σ_r=\frac{Q cos⁡θ}{r}\)

b.

\(σ_r=\frac{2Q cos⁡θ}{πr}\)

c.

\(σ_r=\frac{Q sin⁡θ}{r}\)

d.

\(σ_r=\frac{2Q sin⁡θ}{r}\)

Discuss
Answer: (b).\(σ_r=\frac{2Q cos⁡θ}{πr}\)
Q17.
The radial stress component σᵣ due to inclined line load of intensity Q per unit length is given by ___________

a.

\(σ_r=\frac{2Q}{r}(\frac{cosβcosθ}{2α+sin2α})\)

b.

\(σ_r=\frac{2Q}{r} (\frac{cosβcosθ}{2α+sin2α}+\frac{sinβsinθ}{2α-sin2α})\)

c.

\(σ_r=\frac{Q}{r} (\frac{cosβcosθ}{2α+sin2α}+\frac{sinβsinθ}{2α-sin2α})\)

d.

\(σ_r=\frac{2Q}{r}(\frac{sinβsinθ}{2α-sin2α})\)

Discuss
Answer: (b).\(σ_r=\frac{2Q}{r} (\frac{cosβcosθ}{2α+sin2α}+\frac{sinβsinθ}{2α-sin2α})\)
Q18.
When the ground is horizontal, \(α=\frac{π}{2}\) in constant K. What will be the radial stress σᵣ due to inclined line load at the horizontal ground surface?

a.

\(σ_r=\frac{Q cos⁡θ}{r}\)

b.

\(σ_r=\frac{2Q cos(θ-β)}{πr}\)

c.

\(σ_r=\frac{Q sin⁡θ}{r}\)

d.

\(σ_r=\frac{2Q sin⁡θ}{r}\)

Discuss
Answer: (b).\(σ_r=\frac{2Q cos(θ-β)}{πr}\)
Q19.
For any position of point P subtending angle α with AB, the vertical stress is given by___________

a.

\(σ_z=\frac{q}{aπ} [xα(x-α)] \)

b.

\(σ_z=\frac{q}{aπ} \)

c.

\(σ_z=\frac{q}{aπ}\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)

d.

\(σ_z= \left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)

Discuss
Answer: (c).\(σ_z=\frac{q}{aπ}\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
Q20.
For point P under the support A, the vertical stress is given by __________

a.

\(σ_z=\frac{q}{aπ} [xα(x-α)] \)

b.

\(σ_z=\frac{q}{aπ} \)

c.

\(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \)

d.

\(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)

Discuss
Answer: (c).\(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \)
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