GATE ME 2019 Set 2 — Question 62
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Manufacturing Processes → Forming → Rolling (Load & Torque)
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Question
The thickness of a sheet is reduced by rolling (without any change in width) using 600 mm diameter rolls. Neglect elastic deflection of the rolls and assume that the coefficient of friction at the roll-workpiece interface is 0.05. The sheet enters the rotating rolls unaided. If the initial sheet thickness is 2 mm, the minimum possible final thickness that can be produced by this process in a single pass is ______ mm (round off to two decimal places).
Correct answer
1.24 to 1.26
Solution
Given:
Diameter of rolls, mm Radius, mm
Coefficient of friction,
Initial thickness, mmFor unaided entry in rolling, the maximum draft () is given by:The final thickness is:To find the minimum possible final thickness, we use the maximum draft:
Diameter of rolls, mm Radius, mm
Coefficient of friction,
Initial thickness, mmFor unaided entry in rolling, the maximum draft () is given by:The final thickness is:To find the minimum possible final thickness, we use the maximum draft:
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