GATE CE 2019 Set 2 — Question 35
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Geotechnical Engineering → Consolidation → Degree of Consolidation
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Question
Construction of a new building founded on a clayey soil was completed in January 2010. In January 2014, the average consolidation settlement of the foundation in clay was recorded as 10 mm. The ultimate consolidation settlement was estimated in design as 40 mm. Considering double drainage to occur at the clayey soil site, the expected consolidation settlement in January 2019 (in mm, round off to the nearest integer) will be
Correct answer
15 to 15
Solution
Given:
Initial settlement mm at years.
Ultimate consolidation settlement mm.
Double drainage.We need to find the settlement at years.First, calculate the degree of consolidation at years:
Since , we can use the formula for time factor :
The time factor is also given by , where is the coefficient of consolidation and is the drainage path length.
For double drainage, , where is the thickness of the clay layer.From the first condition:
So, (per year)Now, calculate the time factor for years:
Now, calculate the degree of consolidation for :
So, Finally, calculate the expected consolidation settlement at years:
mmRounding off to the nearest integer, the expected consolidation settlement is 15 mm.
Initial settlement mm at years.
Ultimate consolidation settlement mm.
Double drainage.We need to find the settlement at years.First, calculate the degree of consolidation at years:
Since , we can use the formula for time factor :
The time factor is also given by , where is the coefficient of consolidation and is the drainage path length.
For double drainage, , where is the thickness of the clay layer.From the first condition:
So, (per year)Now, calculate the time factor for years:
Now, calculate the degree of consolidation for :
So, Finally, calculate the expected consolidation settlement at years:
mmRounding off to the nearest integer, the expected consolidation settlement is 15 mm.
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