A building is to be constructed on a 6 m thick stratum of the clay for which consolidation data are given in Problem 1. a) The average in-situ void ratio of this clay stratum is 0.91 and initial effective vertical stress on this clay stratum is 200 kPa. Given that the average stress in the clay after construction of the building is 300 kPa, estimate the decrease in the thickness of the clay stratum caused by full consolidation under the building load; b) What would the decrease in the thickness of the clay stratum be if the initial effective stress on this clay stratum were 50 kPa? The initial void ratio is also assumed to be 0.91. c) Show on the e-logo' plot of Problem 1 the values of Ae used for making the estimates in (a) and (b).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A building is to be constructed on a 6 m thick stratum of the clay for which consolidation
data are given in Problem 1.
(a) The average in-situ void ratio of this clay stratum is 0.91 and initial effective vertical
stress on this clay stratum is 200 kPa. Given that the average stress in the clay after
construction of the building is 300 kPa, estimate the decrease in the thickness of the clay
stratum caused by full consolidation under the building load;
(b) What would the decrease in the thickness of the clay stratum be if the initial effective
stress on this clay stratum were 50 kPa? The initial void ratio is also assumed to be 0.91.
(c) Show on the e-logo' plot of Problem 1 the values of Ae used for making the estimates in
(a) and (b).
Pressure (kPa)
Void ratio
0.791-0.719
0.878 – 0.691
C.
log(1280/320)
3D 0.31, С. ~
=0.06, oc'= 220 kPa
20
0.958
log(320/20)
40
0.948
80
0.938
160
0.92
320
0.878
PROBLEM#1
640
0.789
1280
0.691
320
0.719
80
0.754
20
0.791
1
0.89
Transcribed Image Text:A building is to be constructed on a 6 m thick stratum of the clay for which consolidation data are given in Problem 1. (a) The average in-situ void ratio of this clay stratum is 0.91 and initial effective vertical stress on this clay stratum is 200 kPa. Given that the average stress in the clay after construction of the building is 300 kPa, estimate the decrease in the thickness of the clay stratum caused by full consolidation under the building load; (b) What would the decrease in the thickness of the clay stratum be if the initial effective stress on this clay stratum were 50 kPa? The initial void ratio is also assumed to be 0.91. (c) Show on the e-logo' plot of Problem 1 the values of Ae used for making the estimates in (a) and (b). Pressure (kPa) Void ratio 0.791-0.719 0.878 – 0.691 C. log(1280/320) 3D 0.31, С. ~ =0.06, oc'= 220 kPa 20 0.958 log(320/20) 40 0.948 80 0.938 160 0.92 320 0.878 PROBLEM#1 640 0.789 1280 0.691 320 0.719 80 0.754 20 0.791 1 0.89
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