Question: Show that under complete lateral restraint and gravity loading only, that the vertical normal stress in a homogeneous, isotropic linearly elastic earth at a depth

Show that under complete lateral restraint and gravity loading only, that the vertical normal stress in a homogeneous, isotropic linearly elastic earth at a depth z measured from the surface with compression positive is γ z and that the horizontal normal stresses are equal to ν/(1 − ν) times the vertical stress where ν is Poisson’s ratio.

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