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 13 of 19

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Q121.
When the maximum vertical stress \((ฯƒ_z)_{max}=\frac{0.0888Q}{r^2}\) at a point, the shear stress at that point is ____________

a.

\(ฯ„_{rz}=\frac{0.0888Q}{r^2} \)

b.

\(ฯ„_{rz}=\frac{0.0725Q}{r^2} \)

c.

\(ฯ„_{rz}=\frac{0.234Q}{r^2} \)

d.

\(ฯ„_{rz}=\frac{0.328Q}{r^2} \)

Discuss
Answer: (b).\(ฯ„_{rz}=\frac{0.0725Q}{r^2} \)
Q122.
For maximum vertical stress, the shear stress is _________ if the load is 20 kN and r=2m.

a.

0.4356 kN/m²

b.

0.244 kN/m²

c.

0.1518 kN/m²

d.

0.3625 kN/m²

Discuss
Answer: (d).0.3625 kN/m²
Q123.
When the ratio of r/z equals to 1, the Boussinesq influence factor is ________ of the maximum.

a.

23%

b.

57%

c.

17.7%

d.

1.8%

Discuss
Answer: (c).17.7%
Q124.
When the ratio of r/z equals to 2, the Boussinesq influence factor is ________ of the maximum.

a.

23%

b.

57%

c.

17.7%

d.

1.8%

Discuss
Answer: (d).1.8%
Q125.
For maximum vertical stress, the shear stress is _________ if the load is 30 kN and r=4m.

a.

0.4356 kN/m²

b.

0.1359 kN/m²

c.

0.1518 kN/m²

d.

0.3625 kN/m²

Discuss
Answer: (b).0.1359 kN/m²
Q126.
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).\(ฯ„_{xz}=-\frac{qz}{aฯ€} ฮฑ \)
Q127.
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
Q128.
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).\(ฯƒ_z=\frac{q}{aฯ€}(aฮฒ+xฮฑ) \)
Q129.
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
Q130.
What will be the intensity of shear stress at a depth of 4m and at a radial distance of 1m from concentrated load of 20 kN?

a.

0.4356 kN/m²

b.

0.244 kN/m²

c.

0.652 kN/m²

d.

0.128 kN/m²

Discuss
Answer: (d).0.128 kN/m²
Page 13 of 19