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Find the correct match between the plane stress states and the Mohr’s circles. (P) horizontal tensile stresses of 10 on the left and right faces; (Q) shear stresses of 10 acting clockwise on all four faces; (R) vertical compressive stress of 10 on the top face and vertical tensile stress of 10 on the bottom face; (S) normal stresses of 10 acting inward on all four faces.

1. (P)-(III); (Q)-(IV); (R)-(I); (S)-(II)
2. (P)-(III); (Q)-(II); (R)-(I); (S)-(IV)
3. (P)-(I); (Q)-(IV); (R)-(III); (S)-(II)
4. (P)-(I); (Q)-(II); (R)-(III); (S)-(IV)

Correct answer: (P)-(III); (Q)-(II); (R)-(I); (S)-(IV)

Solution

Each stress state corresponds to a specific Mohr’s circle based on its normal and shear components. Pure tension/compression cases map to circles on the stress axis, while pure shear maps to a circle centered at the origin. Matching the stress states with their characteristic circles gives the stated pairing.

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