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A steel wire is drawn from an initial diameter (di) of 10 mm to a final diameter (df) of 7.5 mm. The half cone angle (α) of the die is 5° and the coefficient of friction (μ) between the die and the wire is 0.1. The average of the initial and final yield stress [(σy )avg] is 350 MPa. The equation for drawing stress σf. (in MPa) is given as:
The drawing stress (in MPa) required to carry out this operation is (correct to two decimal places).
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- 316.25 MPa
- - 316.25 MPa
- 314.25 MPa
- 315.25 MPa
Correct Option: A
Di = 10 mm, Df = 7.5 mm
α = 5°, µ = 0.1
(σy)avg = 350 MPa
σf = 316.25 MPa