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Test: Stability of Earth Slopes - Civil Engineering (CE) MCQ


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10 Questions MCQ Test GATE Civil Engineering (CE) 2025 Mock Test Series - Test: Stability of Earth Slopes

Test: Stability of Earth Slopes for Civil Engineering (CE) 2024 is part of GATE Civil Engineering (CE) 2025 Mock Test Series preparation. The Test: Stability of Earth Slopes questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Stability of Earth Slopes MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Stability of Earth Slopes below.
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Test: Stability of Earth Slopes - Question 1

A cohesionless soil having an angle of shearing resistant of ϕ, is standing at a slope angle of i. The factor of safety of the slope is:

Detailed Solution for Test: Stability of Earth Slopes - Question 1

For an infinite slope in cohesionless soil.


For ϕ > i F > 1 it means that the slope remains stable as long as angle of slope is less than angle of shearing resistance.

Test: Stability of Earth Slopes - Question 2

A finite slope of cohesion less soil is safe so long as

Detailed Solution for Test: Stability of Earth Slopes - Question 2

The factor of safety of slope against shear failure is given by  from which
if ϕ = β; slope is just stable
ϕ < β; slope is unstable
ϕ > β; slope is stable

Test: Stability of Earth Slopes - Question 3

In the friction circle method the radius of the friction circle is given by 

Detailed Solution for Test: Stability of Earth Slopes - Question 3

Test: Stability of Earth Slopes - Question 4

Taylor's stability number is equal to
where c = unit cohesion, Fc = factor of safety with respect to cohesion, γ = unit weight of soil, Hc = critical height, H = actual height

Detailed Solution for Test: Stability of Earth Slopes - Question 4

Taylor’s stability No.


​∴

Test: Stability of Earth Slopes - Question 5

If the unit weight of soil is 20 kN/m3 cohesion is 15 kN/m2, factor of safety is 1.5 and the stability number is 0.05, the safe maximum height of the slope is

Detailed Solution for Test: Stability of Earth Slopes - Question 5

Stability number,

Test: Stability of Earth Slopes - Question 6

An infinite soil slope with an inclination of 35° is subjected to seepage parallel to its surface. The soil has c' = 100 kN/m2 and ϕ = 30°. Using the concept of mobilized cohesion and friction, at a factor of safety of 1.5 with respect to shear strength, the mobilized friction angle is

Detailed Solution for Test: Stability of Earth Slopes - Question 6

The factor of safety with respect to shear strength is given by,

The shear strength mobilised, thus may be written as,



 

Test: Stability of Earth Slopes - Question 7

List-I given below gives the possible types of failure for a finite soil slope and List-II gives the reasons for these different types of failure. Match the items in List-I with the items in List-II and select the correct answer from the codes given below the lists:
List-I 
A. Base failure
B. Face failure
C. Toe failure
List-II
1. Soils above and below the toe have same strength
2. Soil above the toe is comparatively weaker
3. Soil above the toe is comparatively stronger 

Detailed Solution for Test: Stability of Earth Slopes - Question 7

Face failure or slope failure can occur when the slope angle β is very high and the soil close to the toe is quite strong or the soil in the upper part of slope is relatively weak.
Base failure can occur when the soil below the toe is relatively weak and soft and the slope is flat. Toe failure occurs in steep slopes when the soil mass above the base and below the base is homogeneous.

Test: Stability of Earth Slopes - Question 8

Taylor’s stability number curves are used for the analysis of stability of slopes. The angle of shearing resistance used in the chart is the:

Detailed Solution for Test: Stability of Earth Slopes - Question 8

The Correct Option is C: Mobilised angle

In Taylor's stability number curves, the angle of shearing resistance used is the mobilized angle. The mobilized angle of shearing resistance represents the actual angle at which the soil is resisting shearing forces during slope stability analysis. It takes into account factors such as pore water pressure and soil deformation. The mobilized angle is an important consideration when analyzing the stability of slopes and designing appropriate measures to ensure stability.

Test: Stability of Earth Slopes - Question 9

An excavation was made at a slope angle of 54° in homogeneous clay. When the depth of excavation reached 8m, a slip occurred. The slip surface was likely to have passed through a point:

Detailed Solution for Test: Stability of Earth Slopes - Question 9

For slopes greater than 53°, the critical slip circle invariably passes through the toe. (Toe failure). This is true for any angle of friction (ϕ).
For slopes less than 53° and small values of ϕ < 3°, the critical surface passes below the toe and it is called base failure.

Test: Stability of Earth Slopes - Question 10

The factor of safety of an infinite soil slope shown in the figure having the properties c = 0, ϕ = 35°, γdry = 16kN/m3 and γsat = 20 kN/m3 is approximately equal to

Detailed Solution for Test: Stability of Earth Slopes - Question 10


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