GATE ME 2022 Set 1 — Question 56
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Manufacturing Processes → Forming → Rolling (Load & Torque)
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Question
A 4 mm thick aluminum sheet of width mm is rolled in a two-roll mill of roll diameter 200 mm each. The workpiece is lubricated with a mineral oil, which gives a coefficient of friction, . The flow stress () of the material in MPa is , where is the true strain. Assuming rolling to be a plane strain deformation process, the roll separation force () for maximum permissible draft (thickness reduction) is _________ kN (round off to the nearest integer).Use:
, where ar{\sigma} is average flow stress, is roll-workpiece contact length, and is the average sheet thickness.
, where ar{\sigma} is average flow stress, is roll-workpiece contact length, and is the average sheet thickness.
Correct answer
340 to 360
Solution
Given:
Initial thickness, mm
Width, mm
Roll diameter, mm Roll radius, mm
Coefficient of friction,
Flow stress,
Initial thickness, mm
Width, mm
Roll diameter, mm Roll radius, mm
Coefficient of friction,
Flow stress,
1.Maximum permissible draft ():
Final thickness, 2.True strain ():
3.Average flow stress ():
4.Roll-workpiece contact length ():
5.Average sheet thickness ():
6.Roll separation force ():
Rounding to the nearest integer, kN.Continue learning with Success Tracker
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