A 5.5 m thick layer of normally consolidated clay (Cc = 0.45, e₀ = 0.7) has an effective vertical stress of 55 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 125 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.
A 10 m thick normally consolidated clay layer (γsat = 18 kN/m³, Cc = 0.15, e₀ = 0.8) lies below 5.5 m of sand (γ = 17.5 kN/m³). The water table is at the top of the clay; use γw = 9.81 kN/m³. A wide fill raises the vertical stress throughout the clay by 105 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.
A 4 m thick overconsolidated clay layer has Cc = 0.25, Cr = 0.04 and e₀ = 1. At its mid-depth the effective vertical stress is 60 kPa and the preconsolidation pressure is 150 kPa. A new building adds 15 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.
A 7.5 m thick overconsolidated clay layer has Cc = 0.35, Cr = 0.06 and e₀ = 0.65. At its mid-depth the effective vertical stress is 55 kPa and the preconsolidation pressure is 165 kPa. A new building adds 220 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.
A clay layer 2 m thick has a coefficient of consolidation cv = 1.5 m²/year. It lies on impervious rock, with sand above it, so water drains out only at the top. For 50% average consolidation the time factor is Tv = 0.197. How many years t does the layer take to reach 50% consolidation?
In a laboratory oedometer test, a clay specimen 20 mm thick, drained at the top and bottom, reaches 50% consolidation in 5 min. In the field the same clay forms a layer 9 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?
Full step-by-step solutions: practise this topic on examproblems.com.