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A layer of normally consolidated, saturated silty clay of 1 m thickness is subjected to one dimensional consolidation under a pressure increment of 20 kPa. The properties of the soil are: specific gravity = 2.7, natural moisture content = 45%, compression index = 0.45, and recompression index = 0.05. The initial average effective stress within the layer is 100 kPa. Assuming Terzaghi’s theory to be applicable, the primary consolidation settlement (rounded off to the nearest mm) is
  • a)
    2 mm
  • b)
    9 mm
  • c)
    14 mm
  • d)
    16 mm
Correct answer is option 'D'. Can you explain this answer?
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A layer of normally consolidated, saturated silty clay of 1 m thicknes...
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's one-dimensional consolidation theory, we can determine the final average effective stress and the settlement of the layer.

First, let's calculate the final average effective stress:

1. Calculate the initial void ratio (e0):
e0 = (Gs * w) / (1 + w) = (2.7 * 0.45) / (1 + 0.45) = 0.675

2. Calculate the initial void ratio under the applied pressure increment (e1):
e1 = e0 + (Cc * Δσ) = 0.675 + (0.45 * 20) = 9.375

3. Calculate the final void ratio (e):
e = e1 + (Cr * Δσ) = 9.375 + (0.05 * 20) = 10.375

4. Calculate the final effective stress (σf):
σf = σ - Δσ = 100 - 20 = 80 kPa

Next, let's calculate the settlement:

1. Calculate the compression index (Cc):
Cc = (e1 - e0) / log10(σ1 / σ0) = (9.375 - 0.675) / log10(100 / 100) = 0.45 / 0 = undefined

Since the compression index is undefined, we cannot directly determine the settlement using Terzaghi's theory. However, we can estimate the settlement by assuming the compression index remains constant.

2. Estimate the settlement (ΔH):
ΔH = (Cc * Δσ) / (1 + e0) = (0.45 * 20) / (1 + 0.675) = 0.45 * 20 / 1.675 = 5.373 m

Therefore, the final average effective stress within the layer is 80 kPa and the settlement of the layer is estimated to be 5.373 m.
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A layer of normally consolidated, saturated silty clay of 1 m thickness is subjected to one dimensional consolidation under a pressure increment of 20 kPa. The properties of the soil are: specific gravity = 2.7, natural moisture content = 45%, compression index = 0.45, and recompression index = 0.05. The initial average effective stress within the layer is 100 kPa. Assuming Terzaghi’s theory to be applicable, the primary consolidation settlement (rounded off to the nearest mm) isa)2 mmb)9 mmc)14 mmd)16 mmCorrect answer is option 'D'. Can you explain this answer?
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A layer of normally consolidated, saturated silty clay of 1 m thickness is subjected to one dimensional consolidation under a pressure increment of 20 kPa. The properties of the soil are: specific gravity = 2.7, natural moisture content = 45%, compression index = 0.45, and recompression index = 0.05. The initial average effective stress within the layer is 100 kPa. Assuming Terzaghi’s theory to be applicable, the primary consolidation settlement (rounded off to the nearest mm) isa)2 mmb)9 mmc)14 mmd)16 mmCorrect answer is option 'D'. 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 layer of normally consolidated, saturated silty clay of 1 m thickness is subjected to one dimensional consolidation under a pressure increment of 20 kPa. The properties of the soil are: specific gravity = 2.7, natural moisture content = 45%, compression index = 0.45, and recompression index = 0.05. The initial average effective stress within the layer is 100 kPa. Assuming Terzaghi’s theory to be applicable, the primary consolidation settlement (rounded off to the nearest mm) isa)2 mmb)9 mmc)14 mmd)16 mmCorrect answer is option 'D'. 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 layer of normally consolidated, saturated silty clay of 1 m thickness is subjected to one dimensional consolidation under a pressure increment of 20 kPa. The properties of the soil are: specific gravity = 2.7, natural moisture content = 45%, compression index = 0.45, and recompression index = 0.05. The initial average effective stress within the layer is 100 kPa. Assuming Terzaghi’s theory to be applicable, the primary consolidation settlement (rounded off to the nearest mm) isa)2 mmb)9 mmc)14 mmd)16 mmCorrect answer is option 'D'. Can you explain this answer?.
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