Undrained Shear Strength Correlations

Undrained shear strength Su may be correlated with several parameters, including the following:

Standard Penetration Test:

Su = 6N    (Eq. 1)
where N is the SPT-N60 number

Table 1 — SPT ‘N’ relative to consistency (HB 160-2006)
SPT ‘N’ blows per 300 mm* Shear strength (kPa) Term Abbreviation Field guide
0–2 <12 Very soft VS A finger can be pushed well into the soil with little effort
2–4 12–25 Soft S A finger can be pushed into the soil to about 25 mm depth
4–8 25–50 Firm F The soil can be penetrated about 5 mm with the thumb
8–15 50–100 Stiff St The surface of the soil can be indented with the thumb, but not penetrated
15–30 100–200 Very stiff VSt The surface of the soil can be marked by the fingers, but not indented with thumb pressure
>30 >200 Hard H The surface of the soil can be marked only with the thumb nail


Dynamic Cone Penetrometer:

DCP results can be used to estimate the consistency of subgrade soils.

Table 2 — Correlation of fine grained soil consistency to DCP results (HB 160-2006)
Consistency Blows/100 mm
Very soft to Soft <1
Firm 1–2
Stiff 3–4
Very stiff 5–10
Hard >10


Atterberg Limits:

In normally consolidated clays, the undrained shear strength su to effective overburden pressure p′o ratio can be determined as:

1. Bjerrum and Simons (1960) provided Eq. (2) as a best fit to their work:

su/p′o = 0.45(IP)1/2,   IP > 0.5     (Eq. 2)

Using the liquidity index IL, they derived an approximation of

su/p′o = 0.18(IL)1/2,   IL > 0.5     (Eq. 3)

In both of these equations, use the plasticity index IP and liquidity index IL as decimal entries.

2. A linear equation for the su/p′o ratio for nc clays was presented earlier in curve form by Skempton and Henkel (1953) which can be approximated from the plots as:

su/p′o = 0.11 + 0.37IP    (Eq. 4)

In this equation use IP in decimal.

3. Karlsson and Viberg (1967) suggest

su/p′o = 0.5wL,   wL > 0.20     (Eq. 5)

where the liquid limit wL is a decimal value.

Undrained_strength_1

Figure - Unconsolidated-undrained triaxial test results for saturated clay