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 = 65 kPasandclayCc​ = 0.5e0​ = 0.65σ′0​ = 135 kPa5.5 mwater table

A 5.5 m thick layer of normally consolidated clay (Cc = 0.5, e₀ = 0.65) has an effective vertical stress of 135 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 65 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 = 0.5e0 = 0.65σ′0 = 135 kPaΔσ = 65 kPa
S = mm
2.Easy
Δσ = 80 kPasandclayCc​ = 0.45e0​ = 1.35σ′0​ = 125 kPa9 mwater table

A 9 m thick layer of normally consolidated clay (Cc = 0.45, e₀ = 1.35) has an effective vertical stress of 125 kPa at its mid-depth. A wide fill raises the vertical stress in the clay by 80 kPa. Treat the layer as one sublayer with the stresses at its mid-depth. Find the primary consolidation settlement S in mm.

H = 9 mCc = 0.45e0 = 1.35σ′0 = 125 kPaΔσ = 80 kPa
S = mm
3.Medium
Δσ = 180 kPasandclayCc​ = 0.2, Cr​ = 0.06e0​ = 0.75σ′0​ = 60 kPaσ′p​ = 180 kPa6.5 mwater table

A 6.5 m thick overconsolidated clay layer has Cc = 0.2, Cr = 0.06 and e₀ = 0.75. At its mid-depth the effective vertical stress is 60 kPa and the preconsolidation pressure is 180 kPa. A new building adds 180 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.

H = 6.5 mCc = 0.2Cr = 0.06e0 = 0.75σ′0 = 60 kPaσ′p = 180 kPaΔσ = 180 kPa
S = mm
4.Medium
Δσ = 190 kPasandclayCc​ = 0.25, Cr​ = 0.03e0​ = 1σ′0​ = 115 kPaOCR = 26.5 mwater table

A 6.5 m thick overconsolidated clay layer has Cc = 0.25, Cr = 0.03 and e₀ = 1. At its mid-depth the effective vertical stress is 115 kPa and the overconsolidation ratio is OCR = 2. A new building adds 190 kPa of vertical stress at mid-depth. Find the primary consolidation settlement S in mm.

H = 6.5 mCc = 0.25Cr = 0.03e0 = 1σ′0 = 115 kPaOCR = 2Δσ = 190 kPa
S = mm
5.Hard
sandclayH = 8 m8 mimpervious rockwater table

In a laboratory oedometer test, a clay specimen 19 mm thick, drained at the top and bottom, reaches 50% consolidation in 15 min. In the field the same clay forms a layer 8 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 = 19 mmtlab = 15 minH = 8 mfield: single drainage
t = days
6.Hard
sandclayH = 8.5 mcv​ = 4 m²/year8.5 msandwater table

A clay layer 8.5 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 90% average consolidation the time factor is Tv = 0.848. How many years t does the layer take to reach 90% consolidation?

H = 8.5 mcv = 4 m²/yearU = 90%Tv = 0.848double drainage
t = years

Answer key

  1. 1. S = 284.5 mm
  2. 2. S = 370.3 mm
  3. 3. S = 199.1 mm
  4. 4. S = 128.9 mm
  5. 5. t = 7387 days
  6. 6. t = 3.829 years

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