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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 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?

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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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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