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GATE Mechanical Engineering (ME) 2022 Shift 1 Solved Paper
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Question : 56
Total: 65
A 4 mm thick aluminum sheet of width w = 100 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, μ = 0.1. The flow stress (σ) of the material in MPa is σ = 207 + 414 𝜀, where 𝜀 is the true strain. Assuming rolling to be a plane strain deformation process, the roll separation force (F) for maximum permissible draft (thickness reduction) is _________ kN (round off to the nearest integer).
Use:
F
=
1.15
¯
σ
(
1
+
µ
L
2
¯
h
)
wL, where
¯
σ
is average flow stress, L is roll-workpiece contact length, and
¯
h
is the average sheet thickness
Your Answer:
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Solution:
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