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In a wire drawing operation, diameter of a Steel wire is reduced from 10 mm to 8 mm. The mean flow stress of the material is 400 MPa. The ideal force required for drawing (ignoring friction and redundant work) is
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- 4.48 kN
- 8.97 kN
- 20.11 kN
- 31.41 kN
Correct Option: B
Di = 10 mm, Di = 8mm
σ0
= 400 MPa
| σd = σ0ln |  | Di |  | ² | ||
| Df |
| σd = 400ln | | 10 | | ² | ||
| 8 |
σd = 178.51 MPa
| Ideal force = 178.51 × 106 × | (0.008)² | 4 |
I deal force 8.97 KN
