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When a body is subjected to biaxial stress i.e. direct stresses (σx) and (σy) in two mutually perpendicular planes accompanied by a simple shear stress (τxy), then maximum normal stress is

A. (σx + σy)/2 + (1/2) × √[(σx - σy)² + 4 τ²xy]

B. (σx + σy)/2 - (1/2) × √[(σx - σy)² + 4 τ²xy]

C. (σx - σy)/2 + (1/2) × √[(σx + σy)² + 4 τ²xy]

D. (σx - σy)/2 - (1/2) × √[(σx + σy)² + 4 τ²xy]

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Correct Answer :

A. (σx + σy)/2 + (1/2) × √[(σx - σy)² + 4 τ²xy]


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