In a 3-D stress analysis, the scenario where the third Mohr Circle is smaller than the first and second occurs when the stress tensor exhibits specific characteristics. For the given stress tensor, σ = [[50, 0, 0], [0, 0, 0], [0, 0, 50]] MPa, the x-y and y-z Mohr's circles are equivalent, while the x-z Mohr's circle reduces to a single point at 50 MPa. This indicates a unique case in stress distribution where two planes share similar stress states, and one plane experiences a singular stress condition.
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