GATE ME 2025 Set 1 — Question 28
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Strength of Materials → Stress, Strain & Elastic Constants → Mohr's Circle
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Question
A metallic square plate is subjected to a uniform hydrostatic pressure (). Choose the correct Mohr’s circle representing the state of stress at any point in the plate from the options given below. For the Mohr’s circle, normal stress is positive towards right and shear stress is positive in the upward direction.
Correct answer
(B) [figure]
Solution
In a state of uniform hydrostatic pressure , the normal stresses in all directions are equal and compressive. Thus, and the shear stress . The center of the Mohr's circle is given by:The radius of the Mohr's circle is given by:Since the radius is zero, the Mohr's circle reduces to a single point at on the normal stress axis. This is correctly represented in option (B).
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