Test: Infinite Slopes - Civil Engineering (CE) MCQ

# Test: Infinite Slopes - Civil Engineering (CE) MCQ

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## 10 Questions MCQ Test Foundation Engineering - Test: Infinite Slopes

Test: Infinite Slopes for Civil Engineering (CE) 2024 is part of Foundation Engineering preparation. The Test: Infinite Slopes questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Infinite Slopes MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Infinite Slopes below.
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Test: Infinite Slopes - Question 1

### Earth embankments or slopes are commonly required for which of the following purpose?

Detailed Solution for Test: Infinite Slopes - Question 1

Earth embankments are commonly required for railways, roadways, earth dams, levees and river training works.

Test: Infinite Slopes - Question 2

### An infinitely long slope is made up of a c-φ soil having the properties: cohesion, C = 20 kPa, and dry unit weight, γd = 16 kN/m3. The angle of inclination and critical height of the slope are 40° and 5 m, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is ________

Detailed Solution for Test: Infinite Slopes - Question 2

Stability analysis of an infinite slope of cohesive soils
Shear strength of cohesive soils is given by,
S = C + (γd H Cos2 i) tan ϕ
Shear stress of cohesive soil is given by,
τ = γd H cos i sin i
As the normal stress σ depends upon the height H of the slope, an expression for the height can be found by equating the shear stress and shear strength
C + (γd H Cos2 i) tan ϕ = γ H cos i sin i

This the height at which the slope is just stable and is known as critical height (HC)
Calculation:
Given,
C = 20 kPa, γd = 16 kN/m3
i = 40°, H = 5 m

tan ϕ = 0.413
ϕ = 22.44°

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Test: Infinite Slopes - Question 3

### The failure of slopes may take place due to _____

Detailed Solution for Test: Infinite Slopes - Question 3

The failure of slopes takes place mainly due to the action of a gravitational force which tends to pull the upper portions of the soil mass downwards to a nearly more level surface.

Test: Infinite Slopes - Question 4

If an infinite slope of clay at a depth 5 m has cohesion of 1 t/m2 and unit weight of 2 t/m3, then the stability number will be

Detailed Solution for Test: Infinite Slopes - Question 4

Taylor's stability number method:
(i) Taylor introduced a dimensional parameter, called taylor's stability number, which is given by

Where, H = Effective height of slope
Hc = Critical height of slope
F = FOS
(ii) In this method, Taylor's stability number is read from taylor's chart in order to analyze the stability of slope for a given values of strength parameters of the soil.
(iii) Taylor's method is suitable for c-ϕ soils and for ϕ = 0 (pue clays)
Calculation:
Given, C = 1 t/m2, γ = 2 t/m2 and Hc = 5 m

Test: Infinite Slopes - Question 5

Slopes is classified into ______ types.

Detailed Solution for Test: Infinite Slopes - Question 5

Slopes may be of two types: i) infinite slopes and ii) finite slopes.

Test: Infinite Slopes - Question 6

Analysis of stability of slopes is used for determining ___________

Detailed Solution for Test: Infinite Slopes - Question 6

An analysis of stability of slopes consist of determining the most severely stressed internal surface and the magnitude of the shearing stress to which it is subjected and determining the shearing stress along the surface.

Test: Infinite Slopes - Question 7

A long natural slope of cohesion-less soil is inclined at 12° to the horizontal. What will be the factor of safety of the slope if φ = 30°?

Detailed Solution for Test: Infinite Slopes - Question 7

Given φ = 30° and i = 12°
Formula, F = tan φ /tan i
F = tan 30° / tan 12°
F = 2.72.

Test: Infinite Slopes - Question 8

In the limiting case of stability, the angle of slope is referred to as ______

Detailed Solution for Test: Infinite Slopes - Question 8

In the limiting case of stability, the angle of slope is known as the angle of repose φ.

Test: Infinite Slopes - Question 9

Which of the following is an example of slopes extending to infinity?

Detailed Solution for Test: Infinite Slopes - Question 9

Slopes extending to infinity do not exist in nature.

Test: Infinite Slopes - Question 10

If the soil properties for all identical depths below the surface are constant, it is a _________

Detailed Solution for Test: Infinite Slopes - Question 10

If a slope represents the boundary surface of a semi-infinite soil mass, and the soil properties for all identical depths below the surface are constant, it is called an infinite slope.

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