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.

Note: Each of the following question comes with multiple answer choices. Select the most appropriate option and test your understanding of Elements of Elasticity and Stress Distribution. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

So, are you ready to put your Elements of Elasticity and Stress Distribution knowledge to the test? Let's get started with our carefully curated MCQs!

Elements of Elasticity and Stress Distribution MCQs | Page 4 of 19

Discover more Topics under Geotechnical Engineering

Q31.
In simple radial distribution, if \(Οƒ_r=K \frac{Q cos⁑θ}{r},\) then the value of K is ________

a.

K=\(\frac{2}{2Ξ±+sin2Ξ±}\)

b.

K=2Ξ±+sinΞ±

c.

K=2Ξ±-sinΞ±

d.

K=sinΞ±

Discuss
Answer: (a).K=\(\frac{2}{2Ξ±+sin2Ξ±}\)
Q32.
When the ground is horizontal, \(Ξ±=\frac{Ο€}{2}\) in constant K. What will be the radial stress Οƒα΅£ due to vertical line load?

a.

\(Οƒ_r=\frac{Q cos⁑θ}{r}\)

b.

\(Οƒ_r=\frac{2Q cos⁑θ}{Ο€r}\)

c.

\(Οƒ_r=\frac{Q sin⁑θ}{r}\)

d.

\(Οƒ_r=\frac{2Q sin⁑θ}{r}\)

Discuss
Answer: (b).\(Οƒ_r=\frac{2Q cos⁑θ}{Ο€r}\)
Q33.
The radial stress component Οƒα΅£ due to inclined line load of intensity Q per unit length is given by ___________

a.

\(Οƒ_r=\frac{2Q}{r}(\frac{cosΞ²cosΞΈ}{2Ξ±+sin2Ξ±})\)

b.

\(Οƒ_r=\frac{2Q}{r} (\frac{cosΞ²cosΞΈ}{2Ξ±+sin2Ξ±}+\frac{sinΞ²sinΞΈ}{2Ξ±-sin2Ξ±})\)

c.

\(Οƒ_r=\frac{Q}{r} (\frac{cosΞ²cosΞΈ}{2Ξ±+sin2Ξ±}+\frac{sinΞ²sinΞΈ}{2Ξ±-sin2Ξ±})\)

d.

\(Οƒ_r=\frac{2Q}{r}(\frac{sinΞ²sinΞΈ}{2Ξ±-sin2Ξ±})\)

Discuss
Answer: (b).\(Οƒ_r=\frac{2Q}{r} (\frac{cosΞ²cosΞΈ}{2Ξ±+sin2Ξ±}+\frac{sinΞ²sinΞΈ}{2Ξ±-sin2Ξ±})\)
Q34.
The equilibrium equation obtained by summing all forces on y-direction is ________

a.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x} + \frac{βˆ‚Ο„_{yx}}{βˆ‚y} + \frac{βˆ‚Ο„_{zx}}{βˆ‚z} +X=0\)

b.

\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x} + \frac{βˆ‚Οƒ_y}{βˆ‚y} +\frac{βˆ‚Ο„_{zy}}{βˆ‚z}+Y=0\)

c.

\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Z=0\)

d.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x}+\frac{βˆ‚Ο„_{yx}}{βˆ‚y} +\frac{βˆ‚Ο„_{zx}}{βˆ‚z} = 0\)

Discuss
Answer: (b).\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x} + \frac{βˆ‚Οƒ_y}{βˆ‚y} +\frac{βˆ‚Ο„_{zy}}{βˆ‚z}+Y=0\)
Q35.
The equilibrium equation obtained by summing all forces on z-direction is ________

a.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x} + \frac{βˆ‚Ο„_{yx}}{βˆ‚y} + \frac{βˆ‚Ο„_{zx}}{βˆ‚z} +X=0\)

b.

\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x} + \frac{βˆ‚Οƒ_y}{βˆ‚y} +\frac{βˆ‚Ο„_{zy}}{βˆ‚z}+Y=0\)

c.

\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Z=0\)

d.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x}+\frac{βˆ‚Ο„_{yx}}{βˆ‚y} +\frac{βˆ‚Ο„_{zx}}{βˆ‚z} = 0\)

Discuss
Answer: (c).\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Z=0\)
Q36.
The problem of elasticity is _________

a.

strictly determinate

b.

strictly indeterminate

c.

in some cases indeterminate

d.

cannot be classified as determinate or indeterminate

Discuss
Answer: (b).strictly indeterminate
Q37.
The three equations of static equilibrium of the problem of elasticity are not sufficient to solve the six unknown stress components.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q38.
The equilibrium equations in terms of total stresses formed by summing all forces on x-direction is ________

a.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x} + \frac{βˆ‚Ο„_{yx}}{βˆ‚y} + \frac{βˆ‚Ο„_{zx}}{βˆ‚z} +X=0\)

b.

\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x} + \frac{βˆ‚Οƒ_y}{βˆ‚y} +\frac{βˆ‚Ο„_{zy}}{βˆ‚z}+Y=0\)

c.

\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Z=0\)

d.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x}+\frac{βˆ‚Ο„_{yx}}{βˆ‚y} +\frac{βˆ‚Ο„_{zx}}{βˆ‚z} = 0\)

Discuss
Answer: (d).\(\frac{βˆ‚Οƒ_x}{βˆ‚x}+\frac{βˆ‚Ο„_{yx}}{βˆ‚y} +\frac{βˆ‚Ο„_{zx}}{βˆ‚z} = 0\)
Q39.
The equilibrium equations in terms of total stresses formed by summing all forces on y-direction is ________

a.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x} + \frac{βˆ‚Ο„_{yx}}{βˆ‚y} + \frac{βˆ‚Ο„_{zx}}{βˆ‚z} +X=0\)

b.

\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x}+\frac{βˆ‚Οƒ_y}{βˆ‚y}+\frac{βˆ‚Ο„_{zy}}{βˆ‚z}=0\)

c.

\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Z=0\)

d.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x}+\frac{βˆ‚Ο„_{yx}}{βˆ‚y} +\frac{βˆ‚Ο„_{zx}}{βˆ‚z} = 0\)

Discuss
Answer: (b).\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x}+\frac{βˆ‚Οƒ_y}{βˆ‚y}+\frac{βˆ‚Ο„_{zy}}{βˆ‚z}=0\)
Q40.
The equilibrium equations in terms of total stresses formed by summing all forces on z-direction is ________

a.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x} + \frac{βˆ‚Ο„_{yx}}{βˆ‚y} + \frac{βˆ‚Ο„_{zx}}{βˆ‚z} +Z=0\)

b.

\(\frac{βˆ‚Ο„_{xy}}{βˆ‚x}+\frac{βˆ‚Οƒ_y}{βˆ‚y}+\frac{βˆ‚Ο„_{zy}}{βˆ‚z}=0\)

c.

\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Ξ³=0\)

d.

\(\frac{βˆ‚Οƒ_x}{βˆ‚x}+\frac{βˆ‚Ο„_{yx}}{βˆ‚y} +\frac{βˆ‚Ο„_{zx}}{βˆ‚z} = 0\)

Discuss
Answer: (c).\(\frac{βˆ‚Ο„_{xz}}{βˆ‚x} +\frac{βˆ‚Ο„_{yz}}{βˆ‚y} +\frac{βˆ‚Οƒ_z}{βˆ‚z} +Ξ³=0\)
Page 4 of 19