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 theExplanation / 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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