Consolidation settlement worksheet with answers

Free printable Consolidation settlement worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
Δσ = 95 kPasandclayCc​ = 0.3e0​ = 0.6σ′0​ = 130 kPa5.5 mwater table

A 5.5 m thick layer of normally consolidated clay (Cc = 0.3, e₀ = 0.6) has an effective vertical stress of 130 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.

H = 5.5 mCc = 0.3e0 = 0.6σ′0 = 130 kPaΔσ = 95 kPa
S = mm
2.Easy
Δσ = 45 kPasandclayCc​ = 0.35e0​ = 0.6σ′0​ = 145 kPa8 mwater table

An 8 m thick layer of normally consolidated clay (Cc = 0.35, e₀ = 0.6) has an effective vertical stress of 145 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 45 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.

H = 8 mCc = 0.35e0 = 0.6σ′0 = 145 kPaΔσ = 45 kPa
S = mm
3.Medium
Δσ = 65 kPasandclayCc​ = 0.35, Cr​ = 0.06e0​ = 1.1σ′0​ = 70 kPaσ′p​ = 160 kPa4 mwater table

A 4 m thick overconsolidated clay layer has Cc = 0.35, Cr = 0.06 and e₀ = 1.1. At its mid-depth the effective vertical stress is 70 kPa and the preconsolidation pressure is 160 kPa. A new building adds 65 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.

H = 4 mCc = 0.35Cr = 0.06e0 = 1.1σ′0 = 70 kPaσ′p = 160 kPaΔσ = 65 kPa
S = mm
4.Medium
Δσ = 10 kPasandclayCc​ = 0.5, Cr​ = 0.03e0​ = 1.2σ′0​ = 55 kPaσ′p​ = 105 kPa6 mwater table

A 6 m thick overconsolidated clay layer has Cc = 0.5, Cr = 0.03 and e₀ = 1.2. At its mid-depth the effective vertical stress is 55 kPa and the preconsolidation pressure is 105 kPa. A new building adds 10 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.

H = 6 mCc = 0.5Cr = 0.03e0 = 1.2σ′0 = 55 kPaσ′p = 105 kPaΔσ = 10 kPa
S = mm
5.Hard
sandclayH = 3.5 m3.5 mimpervious rockwater table

In a laboratory oedometer test, a clay specimen 25 mm thick, drained at the top and bottom, reaches 50% consolidation in 4 min. In the field the same clay forms a layer 3.5 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?

hlab = 25 mmtlab = 4 minH = 3.5 mfield: single drainage
t = days
6.Hard
sandclayH = 6.5 m6.5 msandwater table

In a laboratory oedometer test, a clay specimen 25 mm thick, drained at the top and bottom, reaches 50% consolidation in 5 min. In the field the same clay forms a layer 6.5 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?

hlab = 25 mmtlab = 5 minH = 6.5 mfield: double drainage
t = days

Answer key

  1. 1. S = 245.7 mm
  2. 2. S = 205.4 mm
  3. 3. S = 32.6 mm
  4. 4. S = 5.936 mm
  5. 5. t = 217.8 days
  6. 6. t = 234.7 days

Full step-by-step solutions: practise this topic on examproblems.com.