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In friction circle method of slope stability analysis, if r defines the radius of the slip circle, the radius of friction circle is:
  • a)
    r sin φ
  • b)
    r
  • c)
    r cos φ
  • d)
    r tan φ
Correct answer is option 'A'. Can you explain this answer?
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In friction circle method of slope stability analysis, if r defines th...
  • 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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In friction circle method of slope stability analysis, if r defines th...
No, the radius of the friction circle is not r*sinθ. The radius of the friction circle is typically defined as the difference between the radius of the slip circle (r) and the radius of the critical slip circle (rc).

The radius of the friction circle (rf) is given by:
rf = r - rc

The radius of the critical slip circle (rc) is determined based on the factor of safety required for the slope stability analysis. It represents the smallest slip circle that would result in slope failure.
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In friction circle method of slope stability analysis, if r defines the radius of the slip circle, the radius of friction circle is:a)r sinφb)rc)r cos φd)r tan φCorrect answer is option 'A'. Can you explain this answer?
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