An 8 m thick layer of normally consolidated clay (Cc = 0.3, e₀ = 1.4) has an effective vertical stress of 100 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 50 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.
Consolidation settlement worksheet with answers
An 8 m thick layer of normally consolidated clay (Cc = 0.25, e₀ = 0.9) has an effective vertical stress of 60 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 100 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.
A 7 m thick overconsolidated clay layer has Cc = 0.35, Cr = 0.06 and e₀ = 0.9. At its mid-depth the effective vertical stress is 95 kPa and the preconsolidation pressure is 175 kPa. A new building adds 20 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.
A 3.5 m thick overconsolidated clay layer has Cc = 0.4, Cr = 0.06 and e₀ = 1.2. At its mid-depth the effective vertical stress is 70 kPa and the preconsolidation pressure is 110 kPa. A new building adds 130 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.
A clay layer 2.5 m thick has a coefficient of consolidation cv = 4 m²/year. It lies between two sand layers, so water drains out at the top and the bottom. For 60% average consolidation the time factor is Tv = 0.287. How many years t does the layer take to reach 60% consolidation?
In a laboratory oedometer test, a clay specimen 20 mm thick, drained at the top and bottom, reaches 50% consolidation in 6 min. In the field the same clay forms a layer 6 m thick. It lies between two sand layers, so water drains out at the top and the bottom. How many days t does the field layer take to reach 50% consolidation?
Answer key
- 1. S = 176.1 mm
- 2. S = 448.4 mm
- 3. S = 18.34 mm
- 4. S = 184 mm
- 5. t = 0.1121 years
- 6. t = 375 days
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