A 5.5 m thick layer of normally consolidated clay (Cc = 0.5, e₀ = 1.3) has an effective vertical stress of 65 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 115 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
A 7 m thick layer of normally consolidated clay (Cc = 0.25, e₀ = 1.4) has an effective vertical stress of 140 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 95 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.
A 7.5 m thick overconsolidated clay layer has Cc = 0.4, Cr = 0.04 and e₀ = 0.75. At its mid-depth the effective vertical stress is 100 kPa and the overconsolidation ratio is OCR = 2.5. A new building adds 70 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.
A 2.5 m thick overconsolidated clay layer has Cc = 0.5, Cr = 0.04 and e₀ = 1.15. At its mid-depth the effective vertical stress is 65 kPa and the overconsolidation ratio is OCR = 2. A new building adds 130 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.
A clay layer 8 m thick has a coefficient of consolidation cv = 0.5 m²/year. It lies between two sand layers, so water drains out at the top and the bottom. For 90% average consolidation the time factor is Tv = 0.848. How many years t does the layer take to reach 90% consolidation?
In a laboratory oedometer test, a clay specimen 25 mm thick, drained at the top and bottom, reaches 50% consolidation in 10 min. In the field the same clay forms a layer 2 m thick. It lies on impervious rock, with sand above it, so water drains out only at the top. How many days t does the field layer take to reach 50% consolidation?
Answer key
- 1. S = 528.9 mm
- 2. S = 164 mm
- 3. S = 39.51 mm
- 4. S = 116.4 mm
- 5. t = 27.14 years
- 6. t = 177.8 days
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