- 2078 Chaitra · 3 marks
Settlement 4 cm in 2 months, time for 10 cm
Short answer
For U < 60%, time is proportional to U². Degrees of consolidation are U1=20%, U2=50%. Required time = 2 months × (50/20)² = 12.5 months.
A compressible layer whose total settlement under a given loading is expected to be 20 cm settles 4 cm at the end of 2 months. How many months will be required to reach a settlement of 10 cm? Assume double drainage.
Settlement is proportional to the degree of consolidation , and time is proportional to . For , , so (same layer, same and drainage).
Step 1: Degrees of consolidation
Both are below 60%, so the parabolic relation applies.
Step 2: Time ratio
Answer: about 12.5 months from the start of loading. The double drainage condition does not change the ratio, because is the same in both cases.
✓ Answer checked by Claude Opus 5.5 (high effort)
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