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GATE 2022 PI – Question 29

Manufacturing Processes II · Machining · 1 mark · Numerical answer

Orthogonal machining uses a zero-rake single-point tool. Chip-compression ratio is 1.25. Find shear angle in degrees to one decimal.

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Correct answer: 38.0 to 39.0

Explanation

Chip thickness ratio is the reciprocal of compression ratio: r = 1/1.25 = 0.8. Using $\tan\phi=r\cos\alpha/(1-r\sin\alpha)$ with α = 0 gives tanφ = 0.8. Hence **φ = 38.7°**.

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