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AC Question 3 (6 points) For a clay layer, the following are given: Thickness-3.

ID: 236291 • Letter: A

Question

AC Question 3 (6 points) For a clay layer, the following are given: Thickness-3.7 m Initial void ratio 0.82 C Ce 0.28 Call of Kuwait Op 128 kN/m2 Initial effective stress at the middle of the clay layer a) What is the over consolidation ratio OCR? b) H 100 kN/m clay layer is increased to 120 kN/m2 as a result of the construction of a highway? c) What is the final void ratio of the clay layer after the construction of the highway? ow much consolidation settlement would the clay layer undergo if the average effective stress on the

Explanation / Answer

a. overconsolidation ratio (OCR)=pre considation stress/ effective vertical stress

preconsolidation stress=128 KN/m2

effective vertical stress=100 KN/m2

Now overconsolidation ratio=128/100

=1.28

b. Consolidation stress of over consolidated soil=Cr/1+e0 H log zc/z0 +Cc/1+e0 H logzf/zc

Cc=0.288

Cr=Cc/6=0.288/6=0.048

initial void ratio e=0.82

Thickness h=3.7m

zc=preconsolidation stress=128kN/m2

zf=final effective stress=120KN/m2

zo=initial effective stress=100KN/m2

Now,consolidation settlement=0.048/1+0.82* 3.7log128/100 + 0.288/1+0.82*3.7log120/128

=0.048/1.82*3.7*0.02+0.288/1.82*3.7*0.016

=0.026*3.7*0.02+0.158*3.7*0.016

=1.9*10e-3+9.3*10e-3

=11.2*e-3

c. ef= dh/h=de/1+eo

h=3.7m

dh=3.7-0.011=3.689m

3.689/3.7=de/1+0.82

0.99=de/0.82

0.99*0.82=de

0.818=de

de (change in void ratio)=initial void ratio-final void ratio

final void ratio=initial void ratio-change in void ratio

=0.82-0.818

=0.002

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