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With the aid of sketches, explain Terzaghi's Spring Analogy Model.

With the aid of sketches, explain Terzaghi's Spring Analogy Model.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Kindly answe the question in the image given below (Q3)

Q3. (a) With the aid of sketches, explain Terzaghi's Spring Analogy Model. A typical one-dimensional consolidation test sample is 2 cm in height and 5 cm in diameter. Explain the possible reason why the diameter of the consolidation test specimen is much larger than the height. (b) (c) The one-dimensional consolidation test results of a 20 mm thick sample of clay subjected to a surcharge of 300 kN/m are shown in Table Q3(c). Plot a graph using root time method to determine the coefficient of consolidation, Cv. (i) (ii) The sample was obtained from a 6 m thick layer of clay sandwiched in between a layer of silty sand on top and dense sand at the bottom. Assuming the maximum consolidation settlement is 40 mm under the same surcharge load, estimate the time (days) required for 30 mm consolidation settlement. (ii) Estimate the time (days) required to achieve 60% consolidation if this clay layer is sandwiched in between the silty sand on top and a rock at the bottom. Table Q3(c) Time, t (min) Settlement, AH (mm) 0.51 0.56 0.5 1 0.60 4 0.66 0.74 15 0.82 30 0.95 60 1.04 120 240 1.08 1.10 1440 1.12
Transcribed Image Text:Q3. (a) With the aid of sketches, explain Terzaghi's Spring Analogy Model. A typical one-dimensional consolidation test sample is 2 cm in height and 5 cm in diameter. Explain the possible reason why the diameter of the consolidation test specimen is much larger than the height. (b) (c) The one-dimensional consolidation test results of a 20 mm thick sample of clay subjected to a surcharge of 300 kN/m are shown in Table Q3(c). Plot a graph using root time method to determine the coefficient of consolidation, Cv. (i) (ii) The sample was obtained from a 6 m thick layer of clay sandwiched in between a layer of silty sand on top and dense sand at the bottom. Assuming the maximum consolidation settlement is 40 mm under the same surcharge load, estimate the time (days) required for 30 mm consolidation settlement. (ii) Estimate the time (days) required to achieve 60% consolidation if this clay layer is sandwiched in between the silty sand on top and a rock at the bottom. Table Q3(c) Time, t (min) Settlement, AH (mm) 0.51 0.56 0.5 1 0.60 4 0.66 0.74 15 0.82 30 0.95 60 1.04 120 240 1.08 1.10 1440 1.12
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