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 17 of 19

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Q161.
The influence factor for the vertical stress under the corner of a uniformly loaded rectangular area of size 1m*2m at depth 5m and load of 80 kN/m² is given by ___________

a.

0.6212

b.

0.7465

c.

0.0328

d.

0.0624

Discuss
Answer: (c).0.0328
Q162.
The Westergaard’s equation is given by ___________

a.

\(σ_z=\frac{1}{\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)

b.

\(σ_z=\frac{1}{2\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)

c.

\(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}}\frac{Q}{z^2} \)

d.

\(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)

Discuss
Answer: (c).\(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}}\frac{Q}{z^2} \)
Q163.
The Westergaard’s influence factor is given by _____________

a.

\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)

b.

\(K_W=\frac{Q}{z^2} \)

c.

\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{5}{2}} \frac{Q}{z^2} \)

d.

\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^3}\frac{Q}{z^2} \)

Discuss
Answer: (a).\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)
Q164.
For a uniformly loaded rectangular area, the Newmark’s influence factor given by ___________

a.

\(K= \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)

b.

\(K= \frac{1}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)

c.

\(K= \frac{1}{4π}\)

d.

\(K= \frac{q}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)

Discuss
Answer: (b).\(K= \frac{1}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)
Q165.
Find the vertical pressure at depth 5m for a uniformly loaded circular area of 80 kN/m² load and radius of 5m.

a.

51.72 kN/m²

b.

54.12 kN/m²

c.

78.325 kN/m²

d.

12.24 kN/m²

Discuss
Answer: (a).51.72 kN/m²
Q166.
Find the influence factor for the vertical pressure at depth 5m for a uniformly loaded circular area of 80 kN/m² load and radius of 1m.

a.

0.6212

b.

0.0571

c.

0.0328

d.

0.0624

Discuss
Answer: (b).0.0571
Q167.
Contact pressure is between __________

a.

base of footing and underlying soil mass

b.

wall and column

c.

slab and wall

d.

wall and beam

Discuss
Answer: (a).base of footing and underlying soil mass
Q168.
Contact pressure is the ratio of ___________

a.

area to normal load

b.

normal load to tangential load

c.

tangential load to normal load

d.

normal load to true contact area

Discuss
Answer: (d).normal load to true contact area
Q169.
Contact pressure can be called scratch hardness only in case of __________

a.

elastic contact

b.

semi-elastic contact

c.

plastic contact

d.

semi-plastic contact

Discuss
Answer: (c).plastic contact
Q170.
Find the load at depth 10m for a uniformly loaded circular area of radius 1000m. k=1. The vertical pressure σz is 80 kN/m².

a.

51kN/m²

b.

54 kN/m²

c.

80 kN/m²

d.

12kN/m²

Discuss
Answer: (c).80 kN/m²
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