The following figure show the relationship between the voids ratio and effective stress for a soil sample collected from the mid depth of a 6 m thick clay layer. The Cc and Cr values have been determined to be 0.3 and 0.04 respectively. For the given information:If the current effective stress at the mid depth is 70 kPa, calculate the ultimate consolidation settlement when the effective stress at mid depth increases by 10 kPa due to an applied load. If the coefficient of consolidation is 0.555 m2/s and the clay layer is single drained, calculate the time taken to reach 45% consolidation. 0.90.80.7a 0.60.50.40.3101001000o'vc(log scale) Uavg = average consolidation at a given time. Averaged w.r.t. depthC, (t)HarTUavg0.10.0080.20.0310.30.0710.40.1260.50.1970.60.2870.70.4030.80.5670.90.8480.951.1631.0S(t)Uavg

Given, e = 0.8 H = 6 m σ1 =70 kpa∆σ =10 kpaCc =0.3Cr = 0.04Expresion for consolidation settlement is Sf=CcH1+elogσ1+∆σ1σ1Putting valuesSf=o.3×61+0.8log70+1070Sf=0.0579 mTv for 45% consolidation is 0.158Tv =CvtH2Putting values0.158=0.555×t62t =0.158×360.555t = 10.24 sec So time required for 45 % consolidation is 10.24 sec.

Answered: The following figure show the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The following figure show the relationship between the voids ratio and effective stress for a soil sample collected from the mid depth of a 6 m thick clay layer. The C_c and C_r values have been determined to be 0.3 and 0.04 respectively.

For the given information:

If the current effective stress at the mid depth is 70 kPa, calculate the ultimate consolidation settlement when the effective stress at mid depth increases by 10 kPa due to an applied load.
If the coefficient of consolidation is 0.555 m²/s and the clay layer is single drained, calculate the time taken to reach 45% consolidation.

0.9
0.8
0.7
a 0.6
0.5
0.4
0.3
10
100
1000
o'vc(log scale)

Uavg = average consolidation at a given time. Averaged w.r.t. depth
C, (t)
Har
T
Uavg
0.1
0.008
0.2
0.031
0.3
0.071
0.4
0.126
0.5
0.197
0.6
0.287
0.7
0.403
0.8
0.567
0.9
0.848
0.95
1.163
1.0
S(t)
Uavg

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