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When a load test was conducted by putting a 60 cm square plate on top of a sandy deposit, the ultimate bearing capacity was observed as 60 kN/m2. What is the ultimate bearing capacity for a strip footing of 1.2 m width to be placed on the surface of the same soil?
- a)75 kN/m2
- b)120 kN/m2
- c)150 kN/m2
- d)160kN/m2
Correct answer is option 'C'. Can you explain this answer?
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When a load test was conducted by putting a 60 cm square plate on top ...
According to Terzaghi,
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When a load test was conducted by putting a 60 cm square plate on top ...
Given:
- Plate load test result: Ultimate bearing capacity = 60 kN/m2
- Width of strip footing: 1.2 m
To Find:
Ultimate bearing capacity for the strip footing.
Explanation:
The ultimate bearing capacity is the maximum pressure that can be applied to the soil without causing shear failure. It is typically expressed in kN/m2 or kPa.
The bearing capacity of the soil for a strip footing can be determined using the Terzaghi's bearing capacity equation:
Qult = cNc + qNq + 0.5γBNγ
Where:
- Qult is the ultimate bearing capacity
- c is the cohesion of the soil
- Nc, Nq, and Nγ are the bearing capacity factors
- q is the surcharge or overburden pressure
- γ is the unit weight of the soil
- B is the width of the footing
Calculations:
Since the given information does not include the values of cohesion (c), surcharge (q), and unit weight (γ), we can assume that these values are negligible or not provided.
Therefore, we can simplify the equation as follows:
Qult = 0.5γBNγ
Given:
- Width of strip footing (B) = 1.2 m
Substituting the values into the equation:
Qult = 0.5 * 1.2 * 60
Qult = 36 kN/m2
Conclusion:
The ultimate bearing capacity for the strip footing with a width of 1.2 m is 36 kN/m2. However, this value is not provided in the answer choices. None of the answer choices match the calculated value of 36 kN/m2.
Therefore, it seems that there might be an error either in the given information or in the answer choices. Without further information or clarification, it is difficult to determine the correct answer.
- Plate load test result: Ultimate bearing capacity = 60 kN/m2
- Width of strip footing: 1.2 m
To Find:
Ultimate bearing capacity for the strip footing.
Explanation:
The ultimate bearing capacity is the maximum pressure that can be applied to the soil without causing shear failure. It is typically expressed in kN/m2 or kPa.
The bearing capacity of the soil for a strip footing can be determined using the Terzaghi's bearing capacity equation:
Qult = cNc + qNq + 0.5γBNγ
Where:
- Qult is the ultimate bearing capacity
- c is the cohesion of the soil
- Nc, Nq, and Nγ are the bearing capacity factors
- q is the surcharge or overburden pressure
- γ is the unit weight of the soil
- B is the width of the footing
Calculations:
Since the given information does not include the values of cohesion (c), surcharge (q), and unit weight (γ), we can assume that these values are negligible or not provided.
Therefore, we can simplify the equation as follows:
Qult = 0.5γBNγ
Given:
- Width of strip footing (B) = 1.2 m
Substituting the values into the equation:
Qult = 0.5 * 1.2 * 60
Qult = 36 kN/m2
Conclusion:
The ultimate bearing capacity for the strip footing with a width of 1.2 m is 36 kN/m2. However, this value is not provided in the answer choices. None of the answer choices match the calculated value of 36 kN/m2.
Therefore, it seems that there might be an error either in the given information or in the answer choices. Without further information or clarification, it is difficult to determine the correct answer.
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When a load test was conducted by putting a 60 cm square plate on top of a sandy deposit, the ultimate bearing capacity was observed as 60 kN/m2. What is the ultimate bearing capacity for a strip footing of 1.2 m width to be placed on the surface of the same soil?a)75 kN/m2b)120 kN/m2c)150 kN/m2d)160kN/m2Correct answer is option 'C'. Can you explain this answer?
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