The 'infinite slope analysis' is used for:
Choose the correct answer
Only deep circular failure surfaces in homogeneous soil
Long shallow failures where slip surface is parallel to slope — cohesionless: FOS = tanφ'/tanα
Isolated footings on rock
Pile group failure mechanism
Correct Answer
B. Long shallow failures where slip surface is parallel to slope — cohesionless: FOS = tanφ'/tanα
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Infinite slope: for long shallow slopes where slip surface is parallel to slope. FOS = (c' + γz·cos²α·tanφ') / (γz·sinα·cosα). For c'=0 (cohesionless): FOS = tanφ'/tanα. When FOS=1: α=φ'. For saturated slope (worst case, seepage parallel to slope): FOS = (γ'/(γsat))×(tanφ'/tanα). Applicable: residual soils, long hillside slopes with thin soil mantle, shallow landslides.
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