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 3 of 19

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Q21.
For point P under the support B, the vertical stress is given by __________

a.

\(σ_z=\frac{q}{aπ} [xα(x-α)] \)

b.

\(σ_z=\frac{q}{π}α_B \)

c.

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

d.

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

Discuss
Answer: (b).\(σ_z=\frac{q}{π}α_B \)
Q22.
For a linearly variable infinite load, for a point P, the vertical stress σz is _________

a.

\(σ_z=\frac{q}{aπ} \left[xα+z\right] \)

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: (a).\(σ_z=\frac{q}{aπ} \left[xα+z\right] \)
Q23.
For a symmetrically distributed triangular load, under the centre of the triangular load, the vertical stress at any point at a depth z is given by ___________

a.

\(σ_z=\frac{q}{aπ} \left[α_1+α_2 \right] \)

b.

\(σ_z=\frac{q}{π} \left[α_1+α_2 \right]\)

c.

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

d.

\(σ_z=\frac{q}{π} \left[α_1-α_2 \right]\)

Discuss
Answer: (b).\(σ_z=\frac{q}{π} \left[α_1+α_2 \right]\)
Q24.
For a symmetrically distributed triangular load, the shear stress τxz at any point at a depth z is given by ___________

a.

\(τ_{xz}=-\frac{qz}{aπ} \left[α_1-α_2 \right] \)

b.

\(τ_{xz}=-\frac{q}{π} \left[α_1+α_2 \right]\)

c.

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

d.

\(τ_{xz}=-\frac{q}{π} \left[α_1-α_2 \right] \)

Discuss
Answer: (a).\(τ_{xz}=-\frac{qz}{aπ} \left[α_1-α_2 \right] \)
Q25.
For a triangular and uniformly distributed semi-infinite loads, the shear stress τxz in the plane xz is ___________

a.

\(τ_{xz}=-\frac{qz}{aπ} α \)

b.

\(τ_{xz}=-\frac{q}{π} α\)

c.

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

d.

\(τ_{xz}=-\frac{q}{π} z\)

Discuss
Answer: (a).\(τ_{xz}=-\frac{qz}{aπ} α \)
Q26.
For a load intensity of q=20kN/m, find the shear stress τxz at a depth 5m from the given diagram.

a.

-5.2 kN/m²

b.

-6.2 kN/m²

c.

-7.2 kN/m²

d.

-8.2 kN/m²

Discuss
Answer: (b).-6.2 kN/m²
Q27.
For a triangular and uniformly distributed semi-infinite loads, the vertical stress σz is given by ___________

a.

\(σ_z=\frac{q}{aπ}[xα+z] \)

b.

\(σ_z=\frac{q}{aπ}(aβ+xα) \)

c.

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

d.

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

Discuss
Answer: (b).\(σ_z=\frac{q}{aπ}(aβ+xα) \)
Q28.
For a load intensity of q=20kN/m, find the vertical stress σz from the given diagram.

a.

5.62 kN/m²

b.

6.23 kN/m²

c.

13.33 kN/m²

d.

8.32 kN/m²

Discuss
Answer: (c).13.33 kN/m²
Q29.
The force systems acting on an elastic body in equilibrium are _______

a.

body forces only

b.

surface forces only

c.

both body and surface forces

d.

body stresses

Discuss
Answer: (c).both body and surface forces
Q30.
___________ is an example of surface force.

a.

inertia force

b.

gravitational force

c.

magnetic force

d.

hydrostatic force

Discuss
Answer: (d).hydrostatic force
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