Under a given surcharge, a 5-m thick clay layer has a consolidation settlement of 305 mm. Assume C₂ = 0.003 cm²/sec. a. What is the average degree of consolidation for clay layer when the settlement is 75 mm? b. How long will it take for 50% consolidation to occur if the layer is drained at the top only? c. How long will it take for 50% consolidation to occur if the layer is drained on both ends?

Principles of Foundation Engineering (MindTap Course List)
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Chapter2: Geotechnical Properties Of Soil
Section: Chapter Questions
Problem 2.12P
Question
3. Under a given surcharge, a 5-m thick clay layer has a consolidation settlement of
305 mm. Assume C₂ = 0.003 cm²/sec.
a. What is the average degree of consolidation for clay layer when the settlement is
75 mm?
b. How long will it take for 50% consolidation to occur if the layer is drained at the
top only?
c. How long will it take for 50% consolidation to occur if the layer is drained on both
ends?
4. Under normal loading condition, a 3.6-m thick clay (normally consolidated) has po
190 kPa and e, 1.22. A surcharge of 190 kPa reduces its void ratio to 0.98. The
hydraulic conductivity of the clay for the loading range is 6.1 x 10-5 m/day. Use
Har = 3.6 m (single drainage) and T, = 0.286
a. What is the coefficient of volume compressibility of the clay?
b. What is the coefficient of consolidation of clay?
c. How long will it take for this clay layer to reach 60% consolidation if it is drained
on one side only?
Transcribed Image Text:3. Under a given surcharge, a 5-m thick clay layer has a consolidation settlement of 305 mm. Assume C₂ = 0.003 cm²/sec. a. What is the average degree of consolidation for clay layer when the settlement is 75 mm? b. How long will it take for 50% consolidation to occur if the layer is drained at the top only? c. How long will it take for 50% consolidation to occur if the layer is drained on both ends? 4. Under normal loading condition, a 3.6-m thick clay (normally consolidated) has po 190 kPa and e, 1.22. A surcharge of 190 kPa reduces its void ratio to 0.98. The hydraulic conductivity of the clay for the loading range is 6.1 x 10-5 m/day. Use Har = 3.6 m (single drainage) and T, = 0.286 a. What is the coefficient of volume compressibility of the clay? b. What is the coefficient of consolidation of clay? c. How long will it take for this clay layer to reach 60% consolidation if it is drained on one side only?
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