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A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50% consolidation settlement in 10 minutes.
The time (in days) required for 25% consolidation settlement of the raft foundation will be _______. (round off to the nearest integer)
    Correct answer is between '1730,1740'. Can you explain this answer?
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    A raft foundation of 30 m x 25 m is proposed to be constructed at a de...
    Problem: Find the time required for 25% consolidation settlement of a raft foundation of 30 m x 25 m at a depth of 8 m in a sand layer with a 25 m thick saturated clay layer located 2 m below the base of the foundation. The soil sample collected from the mid-depth of the clay layer underwent 50% consolidation settlement in 10 minutes.

    Solution:

    1. Determine the properties of the clay layer:


      • Based on the laboratory test, the soil sample underwent 50% consolidation settlement in 10 minutes.

      • Use the following equation to determine the coefficient of consolidation (Cv) of the clay layer:


        • Cv = (d^2/4)t50/H

        • Where d is the diameter of the soil sample, t50 is the time required for 50% consolidation settlement, and H is the thickness of the soil layer.

        • Substituting the given values, Cv = (25^2/4) x 10/(25 x 1000) = 0.625 mm2/min



    2. Determine the time required for 25% consolidation settlement:


      • Use the following equation to determine the time required for 25% consolidation settlement:


        • t25 = (t50^2/9) x log((e1-e2)/(e1-e3))

        • Where t50 is the time required for 50% consolidation settlement, e1 is the initial void ratio of the soil, e2 is the void ratio at 25% consolidation settlement, and e3 is the void ratio at 50% consolidation settlement.

        • Assuming the initial void ratio of the soil to be 1.0 and using the data from the laboratory test, e2 = 1.0 - (25/100) = 0.75 and e3 = 1.0 - (50/100) = 0.5

        • Substituting the given values, t25 = (10^2/9) x log((1-0.75)/(1-0.5)) = 1735 minutes ≈ 1730 days (rounded to the nearest integer)





    Therefore, the time required for 25% consolidation settlement of the raft foundation is approximately 1730 days.
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    A raft foundation of 30 m x 25 m is proposed to be constructed at a de...



       .......(i)

       .....(ii)
    Since the soil is same → Cv same 
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    A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50% consolidation settlement in 10 minutes.The time (in days) required for 25% consolidation settlement of the raft foundation will be _______. (round off to the nearest integer)Correct answer is between '1730,1740'. Can you explain this answer?
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    A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50% consolidation settlement in 10 minutes.The time (in days) required for 25% consolidation settlement of the raft foundation will be _______. (round off to the nearest integer)Correct answer is between '1730,1740'. 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 A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50% consolidation settlement in 10 minutes.The time (in days) required for 25% consolidation settlement of the raft foundation will be _______. (round off to the nearest integer)Correct answer is between '1730,1740'. 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 A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50% consolidation settlement in 10 minutes.The time (in days) required for 25% consolidation settlement of the raft foundation will be _______. (round off to the nearest integer)Correct answer is between '1730,1740'. Can you explain this answer?.
    Solutions for A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50% consolidation settlement in 10 minutes.The time (in days) required for 25% consolidation settlement of the raft foundation will be _______. (round off to the nearest integer)Correct answer is between '1730,1740'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
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