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A 10 m high slope of dry clay soil (unit weight = 20 kN/m3), with a slope angle of 45° and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by W. The undrained unit cohesion (cu) is 60 kPa.

The factor of safety of the slope against slip failure, is
  • a)
    0.58
  • b)
    1.84
  • c)
    1.57
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A 10 m high slope of dry clay soil (unit weight = 20 kN/m3), with a sl...

Consider unit length of slope
Area of circular arc 

Height of wedge = Volume × γ = (Area × 1) × γ
= 28.54 × 1 × 20 = 570.8 kN

= 3.68
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A 10 m high slope of dry clay soil (unit weight = 20 kN/m3), with a slope angle of 45° and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by W. The undrained unit cohesion (cu) is 60 kPa.The factor of safety of the slope against slip failure, isa)0.58b)1.84c)1.57d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A 10 m high slope of dry clay soil (unit weight = 20 kN/m3), with a slope angle of 45° and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by W. The undrained unit cohesion (cu) is 60 kPa.The factor of safety of the slope against slip failure, isa)0.58b)1.84c)1.57d)None of theseCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 10 m high slope of dry clay soil (unit weight = 20 kN/m3), with a slope angle of 45° and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by W. The undrained unit cohesion (cu) is 60 kPa.The factor of safety of the slope against slip failure, isa)0.58b)1.84c)1.57d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 m high slope of dry clay soil (unit weight = 20 kN/m3), with a slope angle of 45° and the circular slip surface, is shown in the figure (not drawn to the scale). The weight of the slip wedge is denoted by W. The undrained unit cohesion (cu) is 60 kPa.The factor of safety of the slope against slip failure, isa)0.58b)1.84c)1.57d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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