GATE ME 2015 Set 1 — Question 47
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Manufacturing Processes → Forming → Rolling (Load & Torque)
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Question
In a slab rolling operation, the maximum thickness reduction () is given by , where is the radius of the roll and is the coefficient of friction between the roll and the sheet. If , the maximum angle subtended by the deformation zone at the centre of the roll (bite angle in degrees) is ________
Correct answer
5.6 to 5.8
Solution
The bite angle is the angle subtended by the deformation zone at the center of the roll. For self-feeding in rolling, the condition is . The maximum bite angle occurs when:Given :Note: The question provides the formula . Using the geometric relation , we get . For small angles, , which would imply . However, the standard range provided in the answer key (5.6 to 5.8) corresponds to the exact relation .
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