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A shrink-fit process has been used to enhance the pressure carrying capacity of a cylinder. During...

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Mechanical Engineering

A shrink-fit process has been used to enhance the pressurecarrying capacity of a cylinder. During the process, two concentriccylinders are shrunk fitted together to form a composite open-endedcylinder. Before the shrink-fit process, the inner cylinder has aninner radius of 50 mm and outer radius 75.025 mm, while the outercylinder has an inner radius of 75 mm and outer radius of 150 mm.Both cylinders are made of steel with Young’s modulus E = 200 GPa,Poisson’s ratio  = 0.28, and yield stress Y = 600 MPa. Due to theshrink-fit process, an interface pressure (or shrink-fit pressure),Pc = 16.9 MPa, develops at the interface between the twocylinders.

(a) Determine the magnitude of the stresses at the inner surfaceof the inner cylinder and at the inner surface of the outercylinder due to the shrink-fit process.

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