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Wire Drawing Stress, Load and Power - I

An aluminium ...

Question

An aluminium wire is drawn from 14.5 mm to 12.2 mm diameter at a speed of 1.5 m/sec. Coefficient of friction between wire and dies is 0.12, semi die angle is $6^{o}$ . Mean flow stress of aluminium is 200 MPa. Drawing load will be ____kN.
14.29

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Solution

The correct option is A 14.29
Drawing stress,

$σ_{d} = \frac{σ_{0} (1 + B)}{B} [1 - {(\frac{r_{0}}{r_{1}})}^{2 B}]$

$B = μ c o t α$

$= 0.12 c o t 6^{o}$

$B = 1.142$

$= 200 \frac{(1 + 1.42)}{1.14} [1 - {(\frac{12.2}{14.5})}^{2 \times 1.142}]$

$σ_{d} = 122.28 M P a$

drawing load

$P = σ_{d} \times \frac{π}{4} d_{0}^{2} = 122.28 \times \frac{π}{4} \times (12.2)^{2}$

$P = 14.29 k N$

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