Test: Friction Circle Method - Civil Engineering (CE) MCQ

# Test: Friction Circle Method - Civil Engineering (CE) MCQ

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## 10 Questions MCQ Test - Test: Friction Circle Method

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

### In the friction circle method, it is assumed that the resultant reaction is ___________ to the friction circle.

Detailed Solution for Test: Friction Circle Method - Question 1

In the friction circle method, it is assumed that the resultant reaction is tangential in the friction circle, since the error involved in this assumption is of small magnitude.

Test: Friction Circle Method - Question 2

### In friction circle method of slope stability analysis, if r defines the radius of the slip circle, the radius of friction circle is:

Detailed Solution for Test: Friction Circle Method - Question 2
• This method is based on total stress analysis, but it enables the angle of shearing resistance to be taken into account.
• It is convenient approach for both graphical and mathematical solutions.
• It should be noted that some soils, such as saturated silts and unsaturated clays, do exhibit a Φ value under un-drained condition.
• The friction circle method assumes a circular slip surface; it is in the form of a circular arc of radius R with its centre at ‘O’ and radius of slip circle is Rsinϕ as shown in the figure below.

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Test: Friction Circle Method - Question 3

### The friction circle may be also referred as __________

Detailed Solution for Test: Friction Circle Method - Question 3

The friction circle having radius r sin φ is also called as φ-circle.

Test: Friction Circle Method - Question 4

The friction circle method is based on the assumption that the resultant reaction along a slip surface is tangential to a circle of radius

Detailed Solution for Test: Friction Circle Method - Question 4

Friction circle method:

This method is also based on total stress analysis in which shearing angle of ϕ is used to analyse the stability of finite slope.
The principle of the method is that the inter granular forces are in an obliquity of ϕ to the circular surface at failure, where ϕ is the angle of the internal friction of the soil.
When the length of the arc is divided into small elements, the line of action of the inter granular forces acting on these elements can be defined by a tangent to the friction circle drawn around the centre of the sliding circle.
The radius of this friction circle is given by R sinϕ
Where,
R is the radius of the sliding circle.

Thus, the friction circle is agraphical tool that defines the line of action of the intergranularforces at any given point on the sliding circle in a convenient way.In geotechnics, the method is used primarily for slope-stability investigations in homogeneous soil when both cohesive and frictional components have to be considered.

Test: Friction Circle Method - Question 5

A circle is considered to be a critical slip circle, if it has ___________

Detailed Solution for Test: Friction Circle Method - Question 5

The circle giving minimum factor of safety Fc is considered as a critical slip circle.

Test: Friction Circle Method - Question 6

The friction circle method assumes the failure surface as ___________

Detailed Solution for Test: Friction Circle Method - Question 6

Similar to Culmann’s method, the friction circle method also assumes the failure surface as the arc of circle.

Test: Friction Circle Method - Question 7

The factor of safety Fc with respect to cohesive strength is based on the assumption that ___________

Detailed Solution for Test: Friction Circle Method - Question 7

The factor of safety with respect to cohesive strength, based on the assumption that frictional force has been fully mobilized, and the equation is given by FC = C / Cm.

Test: Friction Circle Method - Question 8

The factor of safety with respect to cohesion is given by the equation ____________

Detailed Solution for Test: Friction Circle Method - Question 8

The factor of safety Fc with respect to cohesive strength, based on the assumption that the frictional strength has been fully mobilized, is given by FC = C / Cm.

Test: Friction Circle Method - Question 9

The forces acting on a sliding wedge are ___________

Detailed Solution for Test: Friction Circle Method - Question 9

The forces acting on a sliding wedge are i) the weight of the wedge ii) the total frictional resistance or resultant, and iii) total cohesive resistance along the slip circle.

Test: Friction Circle Method - Question 10

The factor K, in the radius of the friction circle(Kr sin φ) depends on ____________

Detailed Solution for Test: Friction Circle Method - Question 10

In the frictional circle radius of Kr sin φ, the factor K depends on the central angle δ of the slip arc.

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