干燥,c'=10, φ'=25°, β=30°, γ=18, z=3 m → FS ≈ 1.2353 τ = 18·3·cos30°·sin30° ≈ 23.38 kPa。粘聚力贡献 ≈ 0.4277,摩擦贡献 ≈ 0.8076。FS ≈ 1.2353(临界)。{"result":"Infinite-slope stability (dry), c'=10 kPa, φ'=25°, β=30°, z=3 m, γ=18 kN/m³. Driving shear τ = γ·z·cosβ·sinβ = 23.3827 kPa. Cohesion contribution = 0.4277, friction contribution = tanφ'/tanβ = 0.8076. FS = 1.2353. Classification: marginal (1 ≤ FS < 1.5).","metadata":{"input":{"mode":"dry","c":10,"phi":25,"beta":30,"z":3,"gamma":18},"result":{"mode":"dry","factorOfSafety":1.2353,"drivingShear":23.3827,"drivingShearUnit":"kPa","cohesionContribution":0.4277,"frictionContribution":0.8076,"classification":"marginal (1 ≤ FS < 1.5)"}}}
平行渗流,c'=5, φ'=25°, β=30°, γ_sat=20, z=3 m → FS ≈ 0.6040 γ' = 20−9.81 = 10.19 kN/m³。τ ≈ 25.98 kPa。粘聚力贡献 ≈ 0.1925,摩擦贡献 ≈ 0.4116。FS ≈ 0.6040(不稳定)。{"result":"Infinite-slope stability (seepage parallel to slope), c'=5 kPa, φ'=25°, β=30°, z=3 m, γ_sat=20 kN/m³, γ_w=9.81 kN/m³. γ' = γ_sat − γ_w = 10.19 kN/m³. Driving shear τ = γ_sat·z·cosβ·sinβ = 25.9808 kPa. Cohesion contribution = 0.1925, friction contribution = (γ'/γ_sat)·tanφ'/tanβ = 0.4116. FS = 0.6040. Classification: unstable (FS < 1).","metadata":{"input":{"mode":"parallel","c":5,"phi":25,"beta":30,"z":3,"gammaSat":20,"gammaW":9.81},"result":{"mode":"parallel","factorOfSafety":0.604,"drivingShear":25.9808,"drivingShearUnit":"kPa","effectiveUnitWeight":10.19,"cohesionContribution":0.1925,"frictionContribution":0.4116,"classification":"unstable (FS < 1)"}}}