A longitudinal rolling process for plates is given. The diameter of the work rolls is dw = 150 mm. The plate should leave the rolling stand at a speed of v₁ = 18 m/min. It is fed to the rolling stand with an initial thickness of ho = 2 mm. The friction between sheet and roll is μ = 0.1. a) To what minimum thickness himin can the sheet be rolled? For this purpose, first derive the formula for the minimum roller diameter dmin using a sketch from the gripping condition μ > tan αE. Then calculate the pressure angle &E, the maximum change in sheet thickness Ah and finally the smallest sheet thickness h1min! b) At what speed vo must the sheet be fed to the rolling stand?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A longitudinal rolling process for plates is given. The diameter of the work rolls is dw = 150 mm.
The plate should leave the rolling stand at a speed of v₁ = 18 m/min. It is fed to the rolling
stand with an initial thickness of ho = 2 mm. The friction between sheet and roll is μ = 0.1.
a) To what minimum thickness himin can the sheet be rolled?
For this purpose, first derive the formula for the minimum roller diameter
dmin using a sketch from the gripping condition μ > tan E. Then
calculate the pressure angle &E, the maximum change in sheet
thickness Ah and finally the smallest sheet thickness h1min!
b) At what speed vo must the sheet be fed to the rolling stand?
Transcribed Image Text:A longitudinal rolling process for plates is given. The diameter of the work rolls is dw = 150 mm. The plate should leave the rolling stand at a speed of v₁ = 18 m/min. It is fed to the rolling stand with an initial thickness of ho = 2 mm. The friction between sheet and roll is μ = 0.1. a) To what minimum thickness himin can the sheet be rolled? For this purpose, first derive the formula for the minimum roller diameter dmin using a sketch from the gripping condition μ > tan E. Then calculate the pressure angle &E, the maximum change in sheet thickness Ah and finally the smallest sheet thickness h1min! b) At what speed vo must the sheet be fed to the rolling stand?
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