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Question

In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2 mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is

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Solution

Given α=9

t=0.2mm

tcmax=0.4mm

tcmin=0.25mm

tanϕmax=rmaxcosα1rmaxsinα=0.20.25cos910.20.25sin9

orϕmax=42.09

tanϕmin=tmincosα1rminsinα=0.20.4cos910.20.4sin9

orϕmin=28.18

Ratio=ϕmaxϕmin=42.0928.18=1.494


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