GATE ME 2019 Set 2 — Question 32
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Strength of Materials → Beams & Columns → Bending & Shear Stresses
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Question
A wire of circular cross-section of diameter is bent into a circular arc of radius by application of pure bending moments at its ends. The Young's modulus of the material of the wire is . The maximum tensile stress developed in the wire is ______ MPa.
Correct answer
49 to 51
Solution
Given:
Diameter of the wire,
Radius of the circular arc,
Young's modulus, The bending stress at a distance from the neutral axis is given by the bending equation:The maximum tensile stress occurs at the outermost fiber of the wire:Substituting the values:The maximum tensile stress developed in the wire is .
Diameter of the wire,
Radius of the circular arc,
Young's modulus, The bending stress at a distance from the neutral axis is given by the bending equation:The maximum tensile stress occurs at the outermost fiber of the wire:Substituting the values:The maximum tensile stress developed in the wire is .
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