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Taylor’s stability charts are based on the general assumptions that the analysis is considering
only a two-dimensional limit equilibrium, the slopes are simple and homogenous, and that the
slip surfaces are circular (Steward et al., 2011). The exact location of the slip circle is not
defined using the stability charts but the type of circle can be identified. The stability charts
developed by Taylor do not consider the pore water pressures.
Figure 4.2 shows Taylor’s stability chart for undrained clays which is used to determine the
stability number when 𝑛𝑑 and 𝛽 are known. Equation 4.1 is then used to determine the
mobilised shear strength. The factor of safety can then be calculated using Equation 3.6,
assuming 𝜏𝑓 = 𝑐𝑢 and 𝜏𝑚𝑜𝑏 = 𝑐𝑢,𝑚𝑜𝑏 .
Figure 4.2: Taylor’s stability chart for undrained clay slopes (Steward et al. ., 2011)
Therefore, using Equation 3.6, the factor of safety can be defined as:
𝐹=
𝜏𝑓
𝜏𝑚𝑜𝑏
c ′ + σ′ tan𝜙 ′
= ′
𝑐 𝑚𝑜𝑏 + 𝜎 ′ 𝑡𝑎𝑛𝜙 ′ 𝑚𝑜𝑏
4.2
The factors of safety with respect to cohesion (𝐹𝑐′ ) and angle of shearing resistance (𝐹𝜙′ ) can
be defined as (Liu & Evett, 2004):
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