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 = 75 kPasandclayCc​ = 0.2e0​ = 1.4σ′0​ = 115 kPa3.5 mwater table

A 3.5 m thick layer of normally consolidated clay (Cc = 0.2, e₀ = 1.4) has an effective vertical stress of 115 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 75 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.

H = 3.5 mCc = 0.2e0 = 1.4σ′0 = 115 kPaΔσ = 75 kPa
S = mm
2.Easy
Δσ = 90 kPasandγ = 19 kN/m³6 mclayγsat​ = 19.5 kN/m³Cc​ = 0.6, e0​ = 0.78 mwater tableX

An 8 m thick normally consolidated clay layer (γsat = 19.5 kN/m³, Cc = 0.6, e₀ = 0.7) lies below 6 m of sand (γ = 19 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 90 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.

sand: Hs = 6 m, γ = 19 kN/m³clay: H = 8 m, γsat = 19.5 kN/m³γw = 9.81 kN/m³Cc = 0.6e0 = 0.7Δσ = 90 kPa
S = mm
3.Medium
Δσ = 20 kPasandclayCc​ = 0.45, Cr​ = 0.05e0​ = 1.1σ′0​ = 120 kPaσ′p​ = 180 kPa4 mwater table

A 4 m thick overconsolidated clay layer has Cc = 0.45, Cr = 0.05 and e₀ = 1.1. At its mid-depth the effective vertical stress is 120 kPa and the preconsolidation pressure is 180 kPa. A new building adds 20 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.

H = 4 mCc = 0.45Cr = 0.05e0 = 1.1σ′0 = 120 kPaσ′p = 180 kPaΔσ = 20 kPa
S = mm
4.Medium
Δσ = 10 kPasandclayCc​ = 0.25, Cr​ = 0.03e0​ = 1.05σ′0​ = 100 kPaσ′p​ = 140 kPa7.5 mwater table

A 7.5 m thick overconsolidated clay layer has Cc = 0.25, Cr = 0.03 and e₀ = 1.05. At its mid-depth the effective vertical stress is 100 kPa and the preconsolidation pressure is 140 kPa. A new building adds 10 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.

H = 7.5 mCc = 0.25Cr = 0.03e0 = 1.05σ′0 = 100 kPaσ′p = 140 kPaΔσ = 10 kPa
S = mm
5.Hard
sandclayH = 6.5 m6.5 mimpervious rockwater table

In a laboratory oedometer test, a clay specimen 20 mm thick, drained at the top and bottom, reaches 50% consolidation in 10 min. In the field the same clay forms a layer 6.5 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 = 20 mmtlab = 10 minH = 6.5 mfield: single drainage
t = days
6.Hard
sandclayH = 5 mcv​ = 2.5 m²/year5 msandwater table

A clay layer 5 m thick has a coefficient of consolidation cv = 2.5 m²/year. It lies between two sand layers, so water drains out at the top and the bottom. For 50% average consolidation the time factor is Tv = 0.197. How many years t does the layer take to reach 50% consolidation?

H = 5 mcv = 2.5 m²/yearU = 50%Tv = 0.197double drainage
t = years

Answer key

  1. 1. S = 63.6 mm
  2. 2. S = 568 mm
  3. 3. S = 6.376 mm
  4. 4. S = 4.543 mm
  5. 5. t = 2934 days
  6. 6. t = 0.4925 years

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