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A stratum of sand and a stratum of clay have same thickness of 3m. The coefficient of compressibility of sand is one -fith of coefficient of compressibility of clay and the permeability of sand is 10000 times that of the clay. Assuming the same void ratio, the same degree of consolidation, the ratio of the consolidation time for the clay to that of the sand is?
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A stratum of sand and a stratum of clay have same thickness of 3m. The...
Consolidation Time Ratio of Sand to Clay
  1. Given Data:

    • Thickness of sand and clay = 3m
    • Coefficient of compressibility of sand = 1/5 * coefficient of compressibility of clay
    • Permeability of sand = 10000 * permeability of clay

  2. Explanation:

    • Since the void ratio and degree of consolidation are the same for both sand and clay, the consolidation time is directly proportional to the square of the thickness of the layer and inversely proportional to the coefficient of compressibility and permeability.
    • Consolidation time formula: T = (Cv * H^2) / (4k), where T is consolidation time, Cv is coefficient of compressibility, H is thickness, and k is permeability.
    • Let's assume the coefficient of compressibility of clay = C, then the coefficient of compressibility of sand = 1/5C.
    • Let the permeability of clay = K, then the permeability of sand = 10000K.
    • Consolidation time ratio (T_sand / T_clay) = [(1/5C * 3^2) / (4 * 10000K)] / [(C * 3^2) / (4K)]
    • Consolidation time ratio = (1/5) / 10000 = 1/50000



Therefore, the ratio of the consolidation time for the clay to that of the sand is 1:50000.
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A stratum of sand and a stratum of clay have same thickness of 3m. The coefficient of compressibility of sand is one -fith of coefficient of compressibility of clay and the permeability of sand is 10000 times that of the clay. Assuming the same void ratio, the same degree of consolidation, the ratio of the consolidation time for the clay to that of the sand is?
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A stratum of sand and a stratum of clay have same thickness of 3m. The coefficient of compressibility of sand is one -fith of coefficient of compressibility of clay and the permeability of sand is 10000 times that of the clay. Assuming the same void ratio, the same degree of consolidation, the ratio of the consolidation time for the clay to that of the sand is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A stratum of sand and a stratum of clay have same thickness of 3m. The coefficient of compressibility of sand is one -fith of coefficient of compressibility of clay and the permeability of sand is 10000 times that of the clay. Assuming the same void ratio, the same degree of consolidation, the ratio of the consolidation time for the clay to that of the sand is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stratum of sand and a stratum of clay have same thickness of 3m. The coefficient of compressibility of sand is one -fith of coefficient of compressibility of clay and the permeability of sand is 10000 times that of the clay. Assuming the same void ratio, the same degree of consolidation, the ratio of the consolidation time for the clay to that of the sand is?.
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