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.

\(ฯƒ_z=\frac{q}{aฯ€} [xฮฑ(x-ฮฑ)] \)

b.

\(ฯƒ_z=\frac{q}{ฯ€}ฮฑ_B \)

c.

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

d.

\(ฯƒ_z=\left[xฮฑ_B-\frac{az}{(x-ฮฑ_B )^2+z^2}(x-ฮฑ_B)\right] \)

Discuss
Answer: (b).\(ฯƒ_z=\frac{q}{ฯ€}ฮฑ_B \)
Q22.
For a linearly variable infinite load, for a point P, the vertical stress ฯƒz is _________

a.

\(ฯƒ_z=\frac{q}{aฯ€} \left[xฮฑ+z\right] \)

b.

\(ฯƒ_z=\frac{q}{aฯ€} \)

c.

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

d.

\(ฯƒ_z=\left[xฮฑ-\frac{az}{(x-ฮฑ)^2+z^2}(x-ฮฑ)\right] \)

Discuss
Answer: (a).\(ฯƒ_z=\frac{q}{aฯ€} \left[xฮฑ+z\right] \)
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.

\(ฯƒ_z=\frac{q}{aฯ€} \left[ฮฑ_1+ฮฑ_2 \right] \)

b.

\(ฯƒ_z=\frac{q}{ฯ€} \left[ฮฑ_1+ฮฑ_2 \right]\)

c.

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

d.

\(ฯƒ_z=\frac{q}{ฯ€} \left[ฮฑ_1-ฮฑ_2 \right]\)

Discuss
Answer: (b).\(ฯƒ_z=\frac{q}{ฯ€} \left[ฮฑ_1+ฮฑ_2 \right]\)
Q24.
For a symmetrically distributed triangular load, the shear stress ฯ„xz at any point at a depth z is given by ___________

a.

\(ฯ„_{xz}=-\frac{qz}{aฯ€} \left[ฮฑ_1-ฮฑ_2 \right] \)

b.

\(ฯ„_{xz}=-\frac{q}{ฯ€} \left[ฮฑ_1+ฮฑ_2 \right]\)

c.

\(ฯ„_{xz}=-\frac{q}{ฯ€} \left[\frac{az}{a^2+z^2}\right]\)

d.

\(ฯ„_{xz}=-\frac{q}{ฯ€} \left[ฮฑ_1-ฮฑ_2 \right] \)

Discuss
Answer: (a).\(ฯ„_{xz}=-\frac{qz}{aฯ€} \left[ฮฑ_1-ฮฑ_2 \right] \)
Q25.
For a triangular and uniformly distributed semi-infinite loads, the shear stress ฯ„xz in the plane xz is ___________

a.

\(ฯ„_{xz}=-\frac{qz}{aฯ€} ฮฑ \)

b.

\(ฯ„_{xz}=-\frac{q}{ฯ€} ฮฑ\)

c.

\(ฯ„_{xz}=-\frac{q}{ฯ€} \left[\frac{az}{a^2+z^2}\right]\)

d.

\(ฯ„_{xz}=-\frac{q}{ฯ€} z\)

Discuss
Answer: (a).\(ฯ„_{xz}=-\frac{qz}{aฯ€} ฮฑ \)
Q26.
For a load intensity of q=20kN/m, find the shear stress ฯ„xz 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 ฯƒz is given by ___________

a.

\(ฯƒ_z=\frac{q}{aฯ€}[xฮฑ+z] \)

b.

\(ฯƒ_z=\frac{q}{aฯ€}(aฮฒ+xฮฑ) \)

c.

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

d.

\(ฯƒ_z=[xฮฑ-\frac{az}{(x-ฮฑ)^2+z^2}(x-ฮฑ)]\)

Discuss
Answer: (b).\(ฯƒ_z=\frac{q}{aฯ€}(aฮฒ+xฮฑ) \)
Q28.
For a load intensity of q=20kN/m, find the vertical stress ฯƒz 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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