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A footing 3 m x 1.5 m in plan transmits a pressure of 160 KN/m? on a cohesive soil having E = 8 x 10* KN/m? and p = 0.5. determine the immediate settlement centre (assume Iw = 1.5) (1) 10.125mm (2) 10.525mm (3) 10.725mm (4) 10.925 mm?
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A footing 3 m x 1.5 m in plan transmits a pressure of 160 KN/m? on a ...
Solution:

Given data:
Plan area, A = 3 m x 1.5 m = 4.5 m²
Pressure, q = 160 kN/m²
Elastic modulus, E = 8 x 10⁴ kN/m²
Poisson's ratio, v = 0.5
Iw = 1.5

The immediate settlement of a foundation is calculated using the following equation:

δi = (q/B)(1- v^2) / [(E/2(1+v))(1-v+2vIw/√π)]

where,
B = width of foundation
q = pressure on the foundation
E = elastic modulus of soil
v = Poisson's ratio of soil
Iw = influence factor of water table

Calculation:
B = 1.5 m (width of foundation)

δi = (160 kN/m² / 1.5 m) (1-0.5²) / [(8x10⁴ kN/m²/2(1+0.5))(1-0.5+2x0.5x1.5/√π)]
= 10.725 mm

Therefore, the immediate settlement of the foundation is 10.725 mm.

Answer: (3) 10.725 mm

Explanation:
The given question is based on the calculation of the immediate settlement of a foundation. The immediate settlement is the settlement that occurs immediately after the application of the load on the foundation. The immediate settlement is calculated using the formula mentioned above. The given data is substituted in the formula to obtain the value of the immediate settlement. The immediate settlement of the foundation is found to be 10.725 mm. Hence, option (3) is the correct answer.
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A footing 3 m x 1.5 m in plan transmits a pressure of 160 KN/m? on a cohesive soil having E = 8 x 10* KN/m? and p = 0.5. determine the immediate settlement centre (assume Iw = 1.5) (1) 10.125mm (2) 10.525mm (3) 10.725mm (4) 10.925 mm?
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A footing 3 m x 1.5 m in plan transmits a pressure of 160 KN/m? on a cohesive soil having E = 8 x 10* KN/m? and p = 0.5. determine the immediate settlement centre (assume Iw = 1.5) (1) 10.125mm (2) 10.525mm (3) 10.725mm (4) 10.925 mm? 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 A footing 3 m x 1.5 m in plan transmits a pressure of 160 KN/m? on a cohesive soil having E = 8 x 10* KN/m? and p = 0.5. determine the immediate settlement centre (assume Iw = 1.5) (1) 10.125mm (2) 10.525mm (3) 10.725mm (4) 10.925 mm? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A footing 3 m x 1.5 m in plan transmits a pressure of 160 KN/m? on a cohesive soil having E = 8 x 10* KN/m? and p = 0.5. determine the immediate settlement centre (assume Iw = 1.5) (1) 10.125mm (2) 10.525mm (3) 10.725mm (4) 10.925 mm?.
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