Consolidation Properties
Submitted to
Professor Dr. Myoung Soo Won
By
Sanchari Halder
Contents
› Degree of Consolidation Isochronal Curve
› Correction for Gradual Application of Load
Solution of 1D Consolidation
v
The solution yields,
The time factor is a non dimensional number. Because
consolidation progresses by the dissipation of excess pore
water pressure, the degree of consolidation at a distance z at
any time t is
where, uz= excess pore water pressure at time t.
=
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
0.0 0.2 0.4 0.6 0.8 1.0
Z=z/H
ue=ue/ui
Tv=0.05
Tv=0.15
Tv=0.20
Tv=0.30
Tv=0.40
Tv=0.50
Tv=0.60
Tv=0.70
Tv=0.80
Tv=0.90
Tv=0.10
Tv=1.40
The graphical solution of the equation,
is an illustration in which the lines of equal
time factor are known as Isochrones.
Let us consider,
Time Factor, Tv = 0.1
Z m=0 m=1 m=2 m=3 Uz
0 0.000 0.000 0.000 0.000 0.000
0.2 0.307 0.037 0.001 0.000 0.345
0.4 0.585 0.044 0.000 0.000 0.629
0.6 0.805 0.014 -0.001 0.000 0.819
0.8 0.946 -0.027 0.000 0.000 0.919
1 0.995 -0.046 0.001 0.000 0.949
1.2 0.946 -0.027 0.000 0.000 0.919
1.4 0.805 0.014 -0.001 0.000 0.819
1.6 0.585 0.044 0.000 0.000 0.629
1.8 0.307 0.037 0.001 0.000 0.345
2 0.000 0.000 0.000 0.000 0.000
= 0,1,2,3…
0.000 , 0
0.345 , 0.2
0.629 , 0.4
0.819 , 0.6
0.919 , 0.8
0.949 , 1
0.919 , 1.2
0.819 , 1.4
0.629 , 1.6
0.345 , 1.8
0.000 , 2
Load-Time-Settlement Graph:
Settlement
Time
Load
Correction for Gradual Application of Load:
Load
O
Settlement
Loading curve
Time
Instanous
Curve
Currected Curve
½ t1
½ t1
t1t½t
P
Q
R
S
T
Effective Construction
Time
σt
σ1
Thank you all…

Degree of Consolidation

  • 1.
    Consolidation Properties Submitted to ProfessorDr. Myoung Soo Won By Sanchari Halder
  • 2.
    Contents › Degree ofConsolidation Isochronal Curve › Correction for Gradual Application of Load
  • 3.
    Solution of 1DConsolidation v The solution yields,
  • 4.
    The time factoris a non dimensional number. Because consolidation progresses by the dissipation of excess pore water pressure, the degree of consolidation at a distance z at any time t is where, uz= excess pore water pressure at time t. =
  • 5.
    0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0.0 0.2 0.40.6 0.8 1.0 Z=z/H ue=ue/ui Tv=0.05 Tv=0.15 Tv=0.20 Tv=0.30 Tv=0.40 Tv=0.50 Tv=0.60 Tv=0.70 Tv=0.80 Tv=0.90 Tv=0.10 Tv=1.40 The graphical solution of the equation, is an illustration in which the lines of equal time factor are known as Isochrones. Let us consider, Time Factor, Tv = 0.1 Z m=0 m=1 m=2 m=3 Uz 0 0.000 0.000 0.000 0.000 0.000 0.2 0.307 0.037 0.001 0.000 0.345 0.4 0.585 0.044 0.000 0.000 0.629 0.6 0.805 0.014 -0.001 0.000 0.819 0.8 0.946 -0.027 0.000 0.000 0.919 1 0.995 -0.046 0.001 0.000 0.949 1.2 0.946 -0.027 0.000 0.000 0.919 1.4 0.805 0.014 -0.001 0.000 0.819 1.6 0.585 0.044 0.000 0.000 0.629 1.8 0.307 0.037 0.001 0.000 0.345 2 0.000 0.000 0.000 0.000 0.000 = 0,1,2,3… 0.000 , 0 0.345 , 0.2 0.629 , 0.4 0.819 , 0.6 0.919 , 0.8 0.949 , 1 0.919 , 1.2 0.819 , 1.4 0.629 , 1.6 0.345 , 1.8 0.000 , 2
  • 6.
  • 7.
    Correction for GradualApplication of Load: Load O Settlement Loading curve Time Instanous Curve Currected Curve ½ t1 ½ t1 t1t½t P Q R S T Effective Construction Time σt σ1
  • 8.