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A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion Cu. The ultimate bearing capacity of the footing is equal to
  • a)
    2πCu
  • b)
    πCu
  • c)
    (π + 1) Cu
  • d)
    (π + 2) Cu
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A strip footing is resting on the ground surface of a pure clay bed ha...
Ultimate bearing capacity = c, Nc
For pure clay Nc = 5.14 = (π +2)
UBC = (π +2) C
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Most Upvoted Answer
A strip footing is resting on the ground surface of a pure clay bed ha...
Explanation:

The ultimate bearing capacity of a footing resting on a clay bed can be calculated using the Terzaghi's bearing capacity equation:

Qu = cNc + qNq + 0.5γBNγ

where,

Qu = ultimate bearing capacity
c = effective cohesion at the base of the footing
Nc, Nq, Nγ = bearing capacity factors
q = effective overburden pressure at the base of the footing
γ = unit weight of soil
B = width of the footing

For a strip footing resting on a pure clay bed with no drainage, the undrained cohesion Cu is used as the effective cohesion. Also, the bearing capacity factors Nc, Nq, Nγ are equal to 5.14, 1.3, and 0.5, respectively.

So, the ultimate bearing capacity of the footing can be simplified as:

Qu = Cu x 5.14 + 0.5γB

Therefore, the correct answer is option 'D' - 2Cu.
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A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion Cu. The ultimate bearing capacity of the footing is equal toa)2πCub)πCuc)(π + 1) Cud)(π + 2) CuCorrect answer is option 'D'. Can you explain this answer?
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