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 = 50 kPasandclayCc​ = 0.3e0​ = 1.4σ′0​ = 100 kPa8 mwater table

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.

H = 8 mCc = 0.3e0 = 1.4σ′0 = 100 kPaΔσ = 50 kPa
S = mm
2.Easy
Δσ = 100 kPasandclayCc​ = 0.25e0​ = 0.9σ′0​ = 60 kPa8 mwater table

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.

H = 8 mCc = 0.25e0 = 0.9σ′0 = 60 kPaΔσ = 100 kPa
S = mm
3.Medium
Δσ = 20 kPasandclayCc​ = 0.35, Cr​ = 0.06e0​ = 0.9σ′0​ = 95 kPaσ′p​ = 175 kPa7 mwater table

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.

H = 7 mCc = 0.35Cr = 0.06e0 = 0.9σ′0 = 95 kPaσ′p = 175 kPaΔσ = 20 kPa
S = mm
4.Medium
Δσ = 130 kPasandclayCc​ = 0.4, Cr​ = 0.06e0​ = 1.2σ′0​ = 70 kPaσ′p​ = 110 kPa3.5 mwater table

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.

H = 3.5 mCc = 0.4Cr = 0.06e0 = 1.2σ′0 = 70 kPaσ′p = 110 kPaΔσ = 130 kPa
S = mm
5.Hard
sandclayH = 2.5 mcv​ = 4 m²/year2.5 msandwater table

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?

H = 2.5 mcv = 4 m²/yearU = 60%Tv = 0.287double drainage
t = years
6.Hard
sandclayH = 6 m6 msandwater table

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?

hlab = 20 mmtlab = 6 minH = 6 mfield: double drainage
t = days

Answer key

  1. 1. S = 176.1 mm
  2. 2. S = 448.4 mm
  3. 3. S = 18.34 mm
  4. 4. S = 184 mm
  5. 5. t = 0.1121 years
  6. 6. t = 375 days

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