A compound thick cylinder has a bore of 100 mm diameter, a common diameter of 200 mm and an outside diameter of 300 mm. The outer tube is shrunk on to the inner tube, and the radial stress at the common surface owing to shrinkage is 30 MN/m² Find the maximum internal pressure the cylinder can receive if the maximum circumferential stress in the outer tube is limited to 110 MN/m². Determine also the resulting circumferential stress at the outer radius of the inner tube.

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
Question
A compound thick cylinder has a bore of 100 mm diameter, a common diameter of 200 mm and an
outside diameter of 300 mm. The outer tube is shrunk on to the inner tube, and the radial stress at the
common surface owing to shrinkage is 30 MN/m² Find the maximum internal pressure the cylinder can
receive if the maximum circumferential stress in the outer tube is limited to 110 MN/m². Determine also
the resulting circumferential stress at the outer radius of the inner tube.
Transcribed Image Text:A compound thick cylinder has a bore of 100 mm diameter, a common diameter of 200 mm and an outside diameter of 300 mm. The outer tube is shrunk on to the inner tube, and the radial stress at the common surface owing to shrinkage is 30 MN/m² Find the maximum internal pressure the cylinder can receive if the maximum circumferential stress in the outer tube is limited to 110 MN/m². Determine also the resulting circumferential stress at the outer radius of the inner tube.
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