Consider gravity loading under complete lateral

Consider gravity loading under complete lateral restraint in flat, stratified ground where each stratum is homogeneous, isotropic, and linearly elastic. Assume compression is positive, ν is Poisson’s ratio, z is depth, and γ is average specific weight to any particular depth. A 250 ft thick, water-bearing sandstone is encountered at a depth of 1,300 ft. Water pressure at the top of the sandstone is 80 psi. Estimate the total and effective stresses at the center of the sandstone.

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