plastic equilibrium

# plastic equilibrium - Plastic Equilibrium Foundation Design...

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Plastic Equilibrium Foundation Design CE 482

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Fundamental Assumptions For geotechnical problems such as lateral earth pressures, bearing capacityof footings, and slope stability, two sets of forces are compared: Resisting forces Driving forces This type of evaluation/analysis is called a stability calculation
Fundamental Assumptions For a stability calculation , the position of the sliding (failure) surface must be determined and the resistance against sliding along this surface must be computed/estimated

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Fundamental Assumptions Sliding resistance “s” per unit area depends on: Soil type Effective normal stress For analysis, simplified expressions of shear strength are used: s = ( σ – u) tan φ s = c’ + ( σ – u) tan φ s = s u
Fundamental Assumptions

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Fundamental Assumptions If failure envelope is a straight line: σ 1 = σ 3 N φ + 2c’ (N φ ) 1/2 where N φ = tan 2 (45 ° + φ ’/2)
Fundamental Assumptions If c’ = 0: σ 1 = σ 3 N φ If φ = 0: σ 1 = σ 3 + 2 s u

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