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A thick cylinder is built up by shrinking an aluminium tube 20mm thick upon a hollow aluminium cylinder having an outside diameter 150mm and inside diameter 100mm thereby causing a contact pressure of 20MPa. What is the largest internal pressure that can be applied to the assembly without exceeding a tangential stress of 100MPa at the inner surface.

A thick cylinder is built up by shrinking an aluminium tube 20mm thick upon a hollow aluminium cylinder having an outside diameter 150mm and inside diameter 100mm thereby causing a contact pressure of 20MPa. What is the largest internal pressure that can be applied to the assembly without exceeding a tangential stress of 100MPa at the inner surface.

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
Problem 1.1MA
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A thick cylinder is built up by shrinking an aluminium tube 20mm thick upon a hollow aluminium cylinder having an outside diameter 150mm and inside
diameter 100mm thereby causing a contact pressure of 20MPa. What is the
largest internal pressure that can be applied to the assembly without
exceeding a tangential stress of 100MPa at the inner surface.
Ans: Pi = 97.5MPa

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