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 18 of 19

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Q171.
Find the depth z for a uniformly loaded circular area of 80 kN/m² load and radius of 50m. k=0.9160.

a.

2m

b.

4m

c.

25m

d.

50m

Discuss
Answer: (c).25m
Q172.
If the contact pressure is 14 kN/m², then find the load for 50 m².

a.

500kN

b.

600kN

c.

700kN

d.

800kN

Discuss
Answer: (c).700kN
Q173.
If a UDL of 70 kN/m² is acting at a rectangular area of 25 m², then the contact pressure is _______

a.

51kN/m²

b.

54 kN/m²

c.

80 kN/m²

d.

70 kN/m²

Discuss
Answer: (d).70 kN/m²
Q174.
The contact pressure of a footing was found to be 85 kN/m² for a load of 212.5 kN. What will be the contact area?

a.

1 m²

b.

2.5 m²

c.

3 m²

d.

3.5 m²

Discuss
Answer: (b).2.5 m²
Q175.
If a footing has a dimension of 1m*1m and load transfer of 20 kN, then the contact pressure is _______________

a.

20 kN/m²

b.

30 kN/m²

c.

50 kN/m²

d.

70 kN/m²

Discuss
Answer: (a).20 kN/m²
Q176.
For a saturated clay, the theoretical intensity of contact pressure at the centre is________

a.

q

b.

q/2

c.

¾ q

d.

q/3

Discuss
Answer: (b).q/2
Q177.
If the footing is flexible, then the distribution pressure is uniform.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q178.
The equilibrium equation in polar coordinates is given by _____________

a.

\(\frac{1}{r} \frac{∂τ_{rθ}}{∂θ}+\frac{σ_r-σ_θ}{r}=0\)

b.

\(\frac{∂σ_r}{∂r}+\frac{∂τ_{rθ}}{∂θ}+\frac{σ_r-σ_θ}{r}=0\)

c.

\(\frac{∂σ_r}{∂r}+\frac{1}{r} \frac{∂τ_{rθ}}{∂θ}+\frac{σ_r-σ_θ}{r}=0\)

d.

\(\frac{∂σ_r}{∂r}+\frac{1}{r} \frac{∂τ_{rθ}}{∂θ}=0\)

Discuss
Answer: (c).\(\frac{∂σ_r}{∂r}+\frac{1}{r} \frac{∂τ_{rθ}}{∂θ}+\frac{σ_r-σ_θ}{r}=0\)
Q179.
The compatibility equation in terms of stress components in polar coordinates are given by ____________

a.

\((\frac{∂^2}{∂r^2} +\frac{1}{r} \frac{∂}{∂r}+\frac{1}{r^2} \frac{∂^2}{∂θ^2} )(σ_r+σ_θ )=0\)

b.

\((\frac{∂^2}{∂r^2} +\frac{1}{r} \frac{∂}{∂r}+\frac{1}{r^2} \frac{∂^2}{∂θ^2} )(σ_θ )=0\)

c.

\((\frac{∂^2}{∂r^2} +\frac{1}{r} \frac{∂}{∂r}+\frac{1}{r^2} \frac{∂^2}{∂θ^2} )(σ_r )=0\)

d.

\((\frac{∂^2}{∂r^2} +\frac{1}{r} \frac{∂}{∂r}+\frac{1}{r^2} \frac{∂^2}{∂θ^2} )(σ_r+σ_θ )=1\)

Discuss
Answer: (a).\((\frac{∂^2}{∂r^2} +\frac{1}{r} \frac{∂}{∂r}+\frac{1}{r^2} \frac{∂^2}{∂θ^2} )(σ_r+σ_θ )=0\)
Q180.
The relation between the stress component in x-direction on a horizontal plane in Cartesian coordinates and polar coordinates for vertical line load is ___________

a.

σₓ=σᵣ tan²⁡θ

b.

σₓ=σᵣ cosec²⁡θ

c.

σₓ=σᵣ cos⁡θ

d.

σₓ=σᵣ sin²⁡θ

Discuss
Answer: (d).σₓ=σᵣ sin²⁡θ
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