3. A circular steel cylinder of external diameter 0.2 m and internal diameter 0.1 m is shrunk onto a circular aluminium alloy cylinder of external diameter 0.1 m and internal diameter 0.05 m, where the dimensions are nominal. Determine the radial and hoop stresses at the bores and outside surfaces, such that when there is an internal pressure (retained by end caps) of 300 MPa, the maximum hoop stress in the inner cylinder is 150 MPa.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
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3. A circular steel cylinder of external diameter 0.2 m and internal diameter 0.1 m is shrunk onto a
circular aluminium alloy cylinder of external diameter 0.1 m and internal diameter 0.05 m, where
the dimensions are nominal. Determine the radial and hoop stresses at the bores and outside
surfaces, such that when there is an internal pressure (retained by end caps) of 300 MPa, the
maximum hoop stress in the inner cylinder is 150 MPa.
Transcribed Image Text:3. A circular steel cylinder of external diameter 0.2 m and internal diameter 0.1 m is shrunk onto a circular aluminium alloy cylinder of external diameter 0.1 m and internal diameter 0.05 m, where the dimensions are nominal. Determine the radial and hoop stresses at the bores and outside surfaces, such that when there is an internal pressure (retained by end caps) of 300 MPa, the maximum hoop stress in the inner cylinder is 150 MPa.
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