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soil stresses

# soil stresses - Soil Stresses Foundation Design CE 482 Fall...

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Soil Stresses Foundation Design CE 482 Fall 2007

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Geostatic Stresses Ground surface is horizontal Homogeneous strata σ v = z γ σ v = Σγ Δ z σ h = Κ σ v
Stresses from Applied Loads From theory of elasticity Stress ( σ ) is proportional to strain ( ε ) Based on assumptions of homogeneity and isotropy Graphical form of elastic solution for various loading cases (Boussinesq, Westergaard, Newmark) Pressure (stress) bulbs

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Principal Stresses At any stressed point, three orthogonal planes exist on which there are zero shear stresses Normal stresses that act on these planes are called the principal stresses The largest stress is called the major principal stress, σ 1 The smallest is called the minor principal stress, σ 3 The third is called the intermediate principal stress, σ 2
Principal Stresses For geostatic condition, the horizontal plane through a point is a principal plane All vertical planes through the point are also principal planes When K < 1, σ v = σ 1 , σ h = σ 3 , and σ 2 = σ 3 = σ h When K > 1, σ h = σ 1 , σ v = σ 3 , and σ 2 = σ 1 = σ h When K = 1, σ h = σ v = σ 1 = σ 2 = σ 3

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