A long, copper strip, 500 mm wide, 3 mm thick, was found to have 450 MPa yield stress. The strip is required to be rolled in order to reduce its thickness. In the rolling process, the width remains practically unchanged while the rolls apply pressure in the thickness direction. An additional tension of 150 KN is applied in the longitudinal direction to assist the forming process. Ignoring the change in the width and any friction effects, determine what roll pressure would just cause deformation: according to the Von Mises yield criterion. according to the Tresca yield criterion. Material properties in the elastic range: E=75 GPa, v=0.4. (a) (b)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A long, copper strip, 500 mm wide, 3 mm thick, was found to have 450 MPa yield stress. The strip is required
to be rolled in order to reduce its thickness. In the rolling process, the width remains practically unchanged
while the rolls apply pressure in the thickness direction. An additional tension of 150 kN is applied in the
longitudinal direction to assist the forming process. Ignoring the change in the width and any friction effects,
determine what roll pressure would just cause deformation:
according to the Von Mises yield criterion.
according to the Tresca yield criterion.
Material properties in the elastic range: E=75 GPa, v=0.4.
(a)
(b)
Transcribed Image Text:A long, copper strip, 500 mm wide, 3 mm thick, was found to have 450 MPa yield stress. The strip is required to be rolled in order to reduce its thickness. In the rolling process, the width remains practically unchanged while the rolls apply pressure in the thickness direction. An additional tension of 150 kN is applied in the longitudinal direction to assist the forming process. Ignoring the change in the width and any friction effects, determine what roll pressure would just cause deformation: according to the Von Mises yield criterion. according to the Tresca yield criterion. Material properties in the elastic range: E=75 GPa, v=0.4. (a) (b)
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