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This lecture focuses on shallow foundations under Tresca criterion, analyzing non-drained conditions to determine the lower bound of the bearing capacity. The instructor explains the approach through stress analysis in three different zones, ensuring equilibrium equations and unity conditions are met. By establishing simple stress fields and transitioning between coordinate systems, the lecture delves into the continuity of stresses and equilibrium equations in polar coordinates. The instructor simplifies the equations by assuming constant stresses in certain zones, leading to independent stress components and the determination of integration constants. The lecture concludes by discussing the boundary conditions between different zones and the implications for stress components.