GATE CE 2020 Set 2 — Question 56
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Geotechnical Engineering → Consolidation → Consolidation Settlement
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Question
A footing of size transferring a pressure of , is placed at a depth of below the ground as shown in the figure (not drawn to the scale). The clay stratum is normally consolidated. The clay has specific gravity of and compression index of .
Considering 2:1 (vertical to horizontal) method of load distribution and , the primary consolidation settlement (in mm, round off to two decimal places) of the clay stratum is ___________
Correct answer
74 to 76
Solution
1.Initial void ratio () of clay:
Given and .2.Initial effective stress () at the center of the clay layer:
Depth of center of clay from footing base .Depth from ground surface .
GWT is below footing base, i.e., below ground.
Assuming above footing is :
3.Stress increment () at the center of the clay layer:
Using 2:1 distribution at depth below footing base:4.Primary consolidation settlement ():
.
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