A 4.0 m thick layer of fill material is to be placed on the ground surface of the soil profile shown in Figure Q1. The total unit weight of the fill is 20.2 kN/m³. Assume unit weight of water 10 kN/m³. (a) Calculate the effective vertical stress in the middle of the clay layer. Calculate the preconsolidation pressure in the middle of the clay layer. (b) (c) (d) Estimate the final consolidation settlement of the clay layer due to the placement of the fill layer. Calculate the coefficient of consolidation (Cv) of the clay, if in a consolidation test, a specimen of the clay reached 70% of final consolidation settlement in 1.5 hours. The specimen was 20 mm thick and a porous plate was placed only at the top of the sample. A solid plate was placed at the bottom of the sample. (e) Calculate the time in years for the clay layer (shown in Figure Q1) to reach 60% of its final settlement.
A 4.0 m thick layer of fill material is to be placed on the ground surface of the soil profile shown in Figure Q1. The total unit weight of the fill is 20.2 kN/m³. Assume unit weight of water 10 kN/m³. (a) Calculate the effective vertical stress in the middle of the clay layer. Calculate the preconsolidation pressure in the middle of the clay layer. (b) (c) (d) Estimate the final consolidation settlement of the clay layer due to the placement of the fill layer. Calculate the coefficient of consolidation (Cv) of the clay, if in a consolidation test, a specimen of the clay reached 70% of final consolidation settlement in 1.5 hours. The specimen was 20 mm thick and a porous plate was placed only at the top of the sample. A solid plate was placed at the bottom of the sample. (e) Calculate the time in years for the clay layer (shown in Figure Q1) to reach 60% of its final settlement.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A 4.0 m thick layer of fill material is to be placed on the ground surface of the soil profile shown in
Figure Q1. The total unit weight of the fill is 20.2 kN/m³. Assume unit weight of water 10 kN/m³.
(a) Calculate the effective vertical stress in the middle of the clay layer.
(b) Calculate the preconsolidation pressure in the middle of the clay layer.
(c) Estimate the final consolidation settlement of the clay layer due to the placement of the fill layer.
(d) Calculate the coefficient of consolidation (Cv) of the clay, if in a consolidation test, a specimen
of the clay reached 70% of final consolidation settlement in 1.5 hours. The specimen was 20
mm thick and a porous plate was placed only at the top of the sample. A solid plate was placed
at the bottom of the sample.
(e)
Clay
Sand
Saturated Yar = 18 kN/m³
Sand
Calculate the time in years for the clay layer (shown in Figure Q1) to reach 60% of its final
settlement.
Ysat 19.3 kN/m³
eo= 0.81
Cc =0.46
Cr= 0.05
OCR = 1.5
Yat 18.6 kN/m³
Figure Q1
WT
1
1.5 m
1.5 m
3 m
5 m
For T ≤ 0.217 (U ≤ 52.6 %):
4T
U=
7
For T≥ 0.217 (U≥ 52.6 %):
0.085+T
0.933
U=1-10
k = Cv mv Yw
my (AH/H) / Ao
=
Strain = ΔΗ/Η
AH (H/1+eo) Co log(o'2/01)
AH (H/1+eo) Cr log('2/01)
T = (cv t/H²d)
U=(AH/AH)
OCR = o'p/oo'
Strain = Ae/(1+e)
H
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VIEWStep 2: a) Calculate effective vertical stress in middle of clay layer
VIEWStep 3: b) Calculate pre consolidation in middle of clay
VIEWStep 4: c) Calculate final consolidation settlement of clay layer due to placement of fill
VIEWStep 5: d) Calculate coefficient of consolidation
VIEWStep 6: e) Calculate time to reach 60% settlement
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