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GATE 2024 PI – Question 53

Manufacturing Processes I · Metal Forming · 2 marks · Numerical answer

A cold-rolling pass reduces a plate to 3 mm using 400 mm diameter rolls at 300 rpm. Roll elastic deflection is negligible, bite angle 10°, and neutral point lies 7° from the exit. Find thickness at neutral point (one decimal mm).

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Correct answer: 5.8 to 6.1

Explanation

Roll-gap geometry gives $h(\theta)=h_f+2R(1-\cos\theta)$. With R = 200 mm and θ = 7°, $h_n=3+400(1-\cos7^\circ)=5.9815$ mm, rounding to **6.0 mm**. Rotation speed does not affect this geometric thickness.

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