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A wire of circular cross-section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure bending moments at its ends. The Young’s modulus of the material of the wire is 100 GPa. The maximum tensile stress developed in the wire is ____ MPa.
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- 52 MPa
- 50 MPa
- 51 MPa
- 49 MPa
Correct Option: B
y = | = | = 0.5 mm | ||
2 | 2 |
⇒ | = | ||
y | R |
⇒ σ = | y = | ||
R | 1000 |
Max tensile stress σmax = 50 MPa