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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 6o. Mean flow stress of aluminium is 200 MPa. Drawing load will be ____kN.
  1. 14.29

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Solution

The correct option is A 14.29
Drawing stress,

σd=σ0(1+B)B[1(r0r1)2B]

B=μcotα

=0.12cot6o

B=1.142

=200(1+1.42)1.14[1(12.214.5)2×1.142]

σd=122.28MPa

drawing load

P=σd×π4d20=122.28×π4×(12.2)2

P=14.29kN

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