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Wire Drawing Stress, Load and Power - II

A 10 mm diame...

Question

A 10 mm diameter annealed steel wire is drawn through a die at a speed of 0.5 m/s to reduce the diameter by 20%. the yield stress of the material is 800 MPa

The power required for the drawing process (in kW) is

A

8.97

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B

14.0

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C

17.95

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D

28.0

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Solution

The correct option is A 8.97
Power required,

$P = F_{d} \times v$

$= 357 \times \frac{π}{4} \times (d_{f})^{2} \times v$

$= 357 \times \frac{π}{4} \times (8)^{2} \times 0.5$

= 8.972 kW

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