In: Civil Engineering
As indicated in the following figure, an
incompressible silty sand fill 16.4 ft thick was
placed on top of a 49.2 ft thick layer of soft and compressible
silty clay. Underlying the
clay is a layer of incompressible sandy gravel. The soil properties
of the silty clay layer are
given in the following figure. The ultimate settlement, Sult = 5.64
ft, from the primary
consolidation of silty clay layer due to the weight of the silty
sand fill is calculated.
A) the time rate of settlement by showing the Time
[year] vs. Settlement [ft] curve.
Show sample calculation when percentage of consolidation, Uavg =
50% to receive full
credits!
the time rate of settlement by showing the Time [year] vs.
Settlement [ft] curve.
Show sample calculation when percentage of consolidation, Uavg =
50% to receive full
credits!
γ = 94.89 pcf
eo = 1.1
Cc = 0.36
Cα= 0.06
cv = 9.235 ft2
/year
Fill Material - Silty Sand
(SM), γ = 124.86 pcf,
Dense Sandy Gravel (GP),
Incompressible layer
16.4 ft
0 ft
U | Tv (when U<=60%) | Tv (When U>60%) | t | St |
0 | 0.0000 | - | 0.00 | 0.000 |
5 | 0.0020 | - | 0.13 | 0.282 |
10 | 0.0079 | - | 0.51 | 0.564 |
15 | 0.0177 | - | 1.16 | 0.846 |
20 | 0.0314 | - | 2.06 | 1.128 |
25 | 0.0491 | - | 3.22 | 1.410 |
30 | 0.0707 | - | 4.63 | 1.692 |
35 | 0.0962 | - | 6.30 | 1.974 |
40 | 0.1257 | - | 8.23 | 2.256 |
45 | 0.1590 | - | 10.42 | 2.538 |
50 | 0.1963 | - | 12.87 | 2.820 |
55 | 0.2376 | - | 15.57 | 3.102 |
60 | 0.2827 | - | 18.53 | 3.384 |
65 | - | 0.3404 | 22.31 | 3.666 |
70 | - | 0.4028 | 26.40 | 3.948 |
75 | - | 0.4767 | 31.24 | 4.230 |
80 | - | 0.5671 | 37.16 | 4.512 |
85 | - | 0.6837 | 44.80 | 4.794 |
90 | - | 0.8480 | 55.57 | 5.076 |
92 | - | 0.9384 | 61.49 | 5.189 |
94 | - | 1.0550 | 69.13 | 5.302 |
96 | 1.2193 | 79.90 | 5.414 | |
97 | 1.3358 | 87.54 | 5.471 | |
98 | 1.5001 | 98.30 | 5.527 | |
99 | 1.7810 | 116.71 | 5.584 |
[In the above table Tv for U<60% is calculated using equation (3) and Tv for U> 60% is calculated using equation (4)]