Answered: Q If you are to derive the Terzaghi…

Q If you are to derive the Terzaghi Theory of 1D consolidation for a half-closed layer, how its derivation would be different from an open layer.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter9: Consolidation

Section: Chapter Questions

Problem 9.3P

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Concept explainers

Calculation of Settlement

The vertical displacement of the structural foundation due to the loading from the superstructure is known as settlement. It is due to the reduction of air voids present in the soil. The amount of vertical displacement depends on the bearing capacity of the soil on which the foundation is laid. The effect of the settlement depends on the magnitude of settlement, uniformity, and the structural design of the structure. The maximum allowable settlement for residential and office buildings should be less than 18 mm, for industrial buildings, it is 38 mm and for commercial buildings, it is 25 mm.

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If you are to derive the Terzaghi Theory of 1D consolidation for a half-closed layer, how its derivation would be different from an open layer.
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A 3 m thick clay layer (single-drained) under surcharge loading underwent 60% primary consolidation in 30 days. Calculate the coefficient of consolidation for the clay. If the ultimate consolidation of 30 mm, calculate the settlement for 30 days.
Under a given surcharge, a 5.1 m thick layer has consolidation settlement of 306 mm. Assume Cv=0.003 sqcm/sec. a. What is the average degree of consolidation for the clay layer when the settlement is 85mm? b. How long will it take for 60% consolidation to occur if the layer is drained at the top only? c. How long will it take for 60% consolidation to occur if the layer is drained on both ends? Please answer this asap. For upvote. Thank you very much
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Refer to Figure P2.18. A total of 60 mm consolidation settlement is expected in the two clay layers due to a surcharge of Δσ. Find the duration of surcharge application at which 30 mm of total settlement would take place.
A clay layer with a sand layer on the top and a rock layer (impermeable layer) on the bottom. When a surcharge is applied, the clay layer will undergo a total 25 cm primary consolidation settlement. If 20 cm of the total consolidation settlement is achieved in 10 years, please find: Coefficient of consolidation, Cv (m2/year) If the rock layer is replaced by a sand layer, how long will it take to finish 10 cm of the total consolidation settlement (year)? If the coefficient of the volume compressibility (mv) is 0.001 m2/kN, what is the hydraulic conductivity of the clay (cm/s)?
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