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Volume 6 – Geotechnical Manual, Site Investigation and Engineering ...

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Chapter 4 SOIL SETTLEMENT<br />

Percent consolidation U<br />

0<br />

20<br />

40<br />

60<br />

80<br />

U T v<br />

10 0.0077<br />

20 0.0314<br />

30 0.0707<br />

40 0.126<br />

50 0.196<br />

60 0.286<br />

70 0.403<br />

80 0.567<br />

90 0.848<br />

100 Infinity<br />

100<br />

0 0.2 0.4 0.6 0.8<br />

Time factor T v<br />

Figure 4.6 Average Degree of Consolidation U versus Time Factor, Tv under Various Drainage<br />

Conditions<br />

Note that the longest drainage distance, H d<br />

of a soil layer confined by more permeable layers on<br />

both ends is equal to one-half of the layer thickness. When confined by a more permeable layer on<br />

one side <strong>and</strong> an impermeable boundary on the other side, the longest drainage distance is equal to<br />

the layer thickness. The value of the dimensionless time factor Tv may be determined from Table<br />

4.6 for any average degree of consolidation. U. The actual time, t, it takes for this percent of<br />

consolidation to occur is a function of the boundary drainage conditions, i.e., the longest distance to<br />

a drainage boundary, as indicated by Equation 4.8. By using the normalized time factor, Tv,<br />

settlement time can be computed for various percentages of settlement due to primary<br />

consolidation, to develop a predicted settlement-time curve. A typical settlement-time curve for a<br />

clay deposit under an embankment loading is shown in Figure 4.6<br />

Coefficient of consolidation, c v can be obtained from laboratory consolidation test data. Two<br />

graphical procedures are commonly used for this i.e. the logarithm-of-time method (log t) proposed<br />

by Casagr<strong>and</strong>e <strong>and</strong> Fadum (1940) <strong>and</strong> the square-root-of-time method proposed by Taylor (1948).<br />

These methods are can be found in various textbooks such as Holtz <strong>and</strong> Kovacs, <strong>and</strong> Soil <strong>and</strong><br />

Foundations, FHWA.<br />

4-8 March 2009

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