Geoscience Reference
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0.4
Recommended Curve
for conditions where
void redistribution effects
are expected to be negligible
0.3
0.2
0.1
Recommended Curve
for conditions where
void redistribution effects
could be significant
0.0
0
30
60
90
120
150
180
Equivalent Clean Sand CPT Normalized Corrected Tip Resistance, q c1Ncs-Sr
Fig. 1.10. Proposed curves for relatingresidual shear strengthratio, S r / σ vo ,of liquefied
soil tomedian values ofequivalent clean sand CPT normalized corrected tip resistance
for
σ vo lessthan 400kPa
The above expressions were used to map the S r / σ vo relationship in Figure 1.5 to the
relationship in Figure 1.10 by converting the
N 1 ) 60cs - Sr values to q c1Ncs - Sr values. The
resulting relationships can be closelyapproximated as
S r
σ vo =
(
exp q c1Ncs - Sr
24
42
q c1Ncs - Sr
61
2
q c1Ncs - Sr
106
3
5
+
4
.
.
.
7
φ
tan
(1.9)
for thecase where void redistributioncould be significant, and as
S r
σ vo =
exp q c1Ncs - Sr
24
42
q c1Ncs - Sr
61
2
q c1Ncs - Sr
106
3
5
+
4
.
.
.
7
1
exp q c1Ncs - Sr
11
82
φ
×
+
1
9
.
tan
(1.10)
.
for thecase where void redistributioneffects areexpected tobe negligible.
4.2. CPTVALUES FORCASE HISTORIES
Estimates of CPT penetration resistances for each of the case histories in Table 1.1 were
obtained using a modified form of the correlation between CPT and SPT penetration
resistances presented by Suzuki et al. (1998). Suzuki et al. showed that the ratio q c /
N
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