GATE ME 2026 Set 1 — Question 52
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Strength of Materials → Stress, Strain & Elastic Constants → Mohr's Circle
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Question
A welded square plate of is subjected to biaxial state of stress of magnitude and , as shown in the figure below. The ratio of the normal stress acting in the perpendicular direction of the weld to the shear stress of the weld is ________ (rounded off to 2 decimal places).
Solution
The weld lies along the diagonal of the square plate, i.e. at to the horizontal. From the figure, the vertical stress is tensile and the horizontal stress is compressive:The normal to the weld line makes (equivalently ) with the -axis, so and .Normal stress perpendicular to the weld:Shear stress along the weld:Ratio:(Treating the 6.5 MPa stress as tensile would give , which is incorrect for the loading shown.)Answer: 0.59
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