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An earthen dam of height H is made of cohesive soil whose cohesion and unit weight are c and γ, respectively. If the factor of safety against cohesion is F_c, the Taylor’s stability number (Sₙ) is

1. γH/(cF_c)
2. cF_c/(γH)
3. c/(F_cγH)
4. F_cγH/c

Correct answer: c/(F_cγH)

Solution

Taylor's stability number is Sn = c_mobilized/(gamma H) with mobilized cohesion c/Fc, giving Sn = c/(Fc x gamma x H). That is option index 2, not the stored cFc/(gamma H).

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