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The upper bound technique of limit analysis is used to develop approximate solutions for the bearing capacity of cohesive soils with weight. Solutions are presented for smooth and rough and surface and subsurface footings. Soil is treated as a perfectly plastic medium with the associated flow rule after Drucker. The limit analysis solutions for smooth surface footings are shown to compare favorably with slip-line solutions. Meyerhof's solutions and the limit analysis solutions for rough, subsurface footings are shown to agree remarkably well.
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Chen et al. (1973) studied this question.
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