Question

In a turning process using orthogonal tool geometry, a chip length of 100 mm is obtained for an uncut chip length of 250 mm.

The cutting conditions are cutting speed = 30 m/min. rake angle = 20°.

The shear plane angle is _________ degrees (round off to one decimal place).

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Answer :

Correct answer is : 23.5

Given: Length of chip = 100 mm, Uncut chip length = 250 mm, Rake angle, α = 20°

r = 100 250 = 2 5 = 0.4

Now,

tan ϕ = 0.4 cos 20 1 0.4 sin 20 = 0.3758 0.86319 = 0.4354

∴ ϕ = tan-1 (0.4354)

∴ ϕ = 23.53°

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