If an infinite slope of clay at a depth 5 m has cohesion of 1 t/m2 and unit weight of 2 t/m3, then the stability number will be

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Concept:

Taylor's stability number method:

(i) Taylor introduced a dimensional parameter, called taylor's stability number, which is given by

\({S_n} = \frac{C}{{γ {H_c}}} = \frac{C}{{γ FH}}\)

Where, H = Effective height of slope

Hc = Critical height of slope

F = FOS

(ii) In this method, Taylor's stability number is read from taylor's chart in order to analyze the stability of slope for a given values of strength parameters of the soil.

(iii) Taylor's method is suitable for c-ϕ soils and for ϕ = 0 (pue clays)

Calculation:

Given, C = 1 t/m2, γ = 2 t/m2 and Hc = 5 m

∵ We know that, \({S_n} = \frac{C}{{\gamma {H_c}}}\)

⇒ \({S_n} = \frac{1}{{2 \times 5}} = 0.1\)

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