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Course: Civil Engineering (BSCE 01)

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Exercise :
During construction of a highway bridge, the average permanent
load on the clay layer is expected to increase by about 115
kN/m3. The average effective overburden pressure at the middle
of the clay layer is 210 kN/m3. Here, Hc = 10 m, Cc = 0.81, e0 =
0.27 and Cv = 1.08 m2/month. The clay is normally consolidated.
Determine :
a. The total primary consolidation settlement of the bridge
without pre-compression.
b. The surcharge, Δσ’(f), needed to eliminate the entire primary
consolidation settlement in nine months by pre-compression.
Solution :
a. Total primary consolidation settlement of the bridge without
pre-compression
May be calculated as follow :
Sc(p) =
CCHC
1+e0
log
σ '0+Δσ '(p)
σ '0
=
(0.81)(10)
1+0.27
log
215+115
210
= 1.2097 m
b. The surcharge (Δσ’(f)), needed to eliminate the entire primary
consolidation settlement in nine months by pre-compression.
Time factor (Tv)
Tv =
(coef . of consolidation)(time)
(max . drainage path )2
=
Cvt2
H2
=
(1.08)(9)
(5)2