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The ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 (using Skempton’s equation) is
- a)250 kN/m2
- b)180 kN/m2
- c)150 kN/m2
- d)125 kN/m2
Correct answer is option 'C'. Can you explain this answer?
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's theory) can be calculated using the following steps:
Step 1: Calculate the effective stress at the base of the footing using the equation:
σ' = σ - u
where σ is the total stress, u is the pore water pressure, and σ' is the effective stress.
In this case, assuming the footing is at ground level and there is no surcharge or water table, σ = γD and u = 0, where γ is the unit weight of the soil and D is the depth of the footing. Let's assume D = 1 m and γ = 20 kN/m3. Then,
σ' = γD - u = 20 kN/m3 × 1 m - 0 = 20 kN/m2
Step 2: Calculate the cohesion intercept of the soil using the unconfined compression strength (UCS) of the clay using Skempton's theory:
c = 0.22 × UCS
c = 0.22 × 50 kN/m2 = 11 kN/m2
Step 3: Calculate the bearing capacity factor (Nc) using the following equation:
Nc = [(Nq - 1) tan^2φ + 1] [(Nq + 1) tan^2φ - 1]^-1
where Nq is the bearing capacity factor for the soil and φ is the angle of internal friction. For saturated clay, Nq can be approximated as:
Nq = 2 + sinφ
Assuming φ = 0, then Nq = 2. The equation for Nc simplifies to:
Nc = 2
Step 4: Calculate the bearing capacity factor (Nγ) for the soil using the following equation:
Nγ = 0.5 + 0.4 (Df/B)
where Df is the foundation depth and B is the width of the footing. Assuming a square footing with B = 1 m and Df = 1 m, then:
Nγ = 0.5 + 0.4 (1/1) = 0.9
Step 5: Calculate the ultimate bearing capacity (qult) using the following equation:
qult = σ' [Nc + (Nq - 1) tan^2φ] + 0.5 γ B Nγ
Assuming φ = 0, then:
qult = 20 kN/m2 [2 + (2 - 1) tan^2 0] + 0.5 × 20 kN/m3 × 1 m × 0.9
qult = 60 kN/m2
Therefore, the ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 using Skempton's theory is 60 kN/m2.
Step 1: Calculate the effective stress at the base of the footing using the equation:
σ' = σ - u
where σ is the total stress, u is the pore water pressure, and σ' is the effective stress.
In this case, assuming the footing is at ground level and there is no surcharge or water table, σ = γD and u = 0, where γ is the unit weight of the soil and D is the depth of the footing. Let's assume D = 1 m and γ = 20 kN/m3. Then,
σ' = γD - u = 20 kN/m3 × 1 m - 0 = 20 kN/m2
Step 2: Calculate the cohesion intercept of the soil using the unconfined compression strength (UCS) of the clay using Skempton's theory:
c = 0.22 × UCS
c = 0.22 × 50 kN/m2 = 11 kN/m2
Step 3: Calculate the bearing capacity factor (Nc) using the following equation:
Nc = [(Nq - 1) tan^2φ + 1] [(Nq + 1) tan^2φ - 1]^-1
where Nq is the bearing capacity factor for the soil and φ is the angle of internal friction. For saturated clay, Nq can be approximated as:
Nq = 2 + sinφ
Assuming φ = 0, then Nq = 2. The equation for Nc simplifies to:
Nc = 2
Step 4: Calculate the bearing capacity factor (Nγ) for the soil using the following equation:
Nγ = 0.5 + 0.4 (Df/B)
where Df is the foundation depth and B is the width of the footing. Assuming a square footing with B = 1 m and Df = 1 m, then:
Nγ = 0.5 + 0.4 (1/1) = 0.9
Step 5: Calculate the ultimate bearing capacity (qult) using the following equation:
qult = σ' [Nc + (Nq - 1) tan^2φ] + 0.5 γ B Nγ
Assuming φ = 0, then:
qult = 20 kN/m2 [2 + (2 - 1) tan^2 0] + 0.5 × 20 kN/m3 × 1 m × 0.9
qult = 60 kN/m2
Therefore, the ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 using Skempton's theory is 60 kN/m2.
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The ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 (using Skempton’s equation) isa)250 kN/m2b)180 kN/m2c)150 kN/m2d)125 kN/m2Correct answer is option 'C'. Can you explain this answer?
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The ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 (using Skempton’s equation) isa)250 kN/m2b)180 kN/m2c)150 kN/m2d)125 kN/m2Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 (using Skempton’s equation) isa)250 kN/m2b)180 kN/m2c)150 kN/m2d)125 kN/m2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ultimate bearing capacity of a square footing on surface of a saturated clay having unconfined compression strength of 50 kN/m2 (using Skempton’s equation) isa)250 kN/m2b)180 kN/m2c)150 kN/m2d)125 kN/m2Correct answer is option 'C'. Can you explain this answer?.
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