GATE ME 2023 Set 1 — Question 44
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Manufacturing Processes → Machining & Machine Tools → Orthogonal & Oblique Cutting
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Question
In an ideal orthogonal cutting experiment (see figure), the cutting speed is , the rake angle of the tool , and the shear angle, , is known to be . Applying the ideal orthogonal cutting model, consider two shear planes and close to each other. As they approach the thin shear zone (shown as a thick line in the figure), plane gets sheared with respect to (point shears to , and shears to ). Assuming that the perpendicular distance between and is , what is the value of shear strain rate (in ) that the material undergoes at the shear zone?
Correct answer
(B) 5.20 × 10⁴
Solution
The shear strain rate is given by the ratio of shear velocity to the shear zone thickness :The shear velocity in orthogonal cutting is related to the cutting speed by:Given:
Calculating :Calculating :Rounding to two decimal places, we get .
Calculating :Calculating :Rounding to two decimal places, we get .
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