A 45° slope of height 15 m in soil with undrained strength 115 kN/m², γ = 20.2 kN/m³, stability number 0.181. Factor of safety is

Taylor's stability number method for slopes: Factor of safety F = c / (Sn * gamma * H), where c = undrained cohesion (kN/m^2), Sn = Taylor's stability number (from stability chart, depends on slope angle and depth factor Nd), gamma = bulk unit weight (kN/m^3), H = slope height (m). Used for short-term (undrained) stability of clay slopes (phi_u = 0). F = c/(Sn γ H)=115/(0.181×20.2×15)≈2.10

ScoreCardAI links this solution with subject, topic and difficulty signals so your scorecard can identify weak areas after a full mock test.