A steel rotor of a gas turbine of 400mm outside diameter, 150mm inside diameter and 25mm thick is shrunk onto a solid steel shaft. At its service speed of 3000rev/min the radial stress on the outside of the rotor is 1.45MPA. Determine the shrinkage allowance required in order to avoid failure, if the design stress limit of the material is 200MPA. For the material assume a Young's Modulus, Poisson Ratio and density of 210GPa, 0.3 and 7850k g/m³ respectively.

A steel rotor of a gas turbine of 400mm outside diameter, 150mm inside diameter and 25mm thick is shrunk onto a solid steel shaft. At its service speed of 3000rev/min the radial stress on the outside of the rotor is 1.45MPA. Determine the shrinkage allowance required in order to avoid failure, if the design stress limit of the material is 200MPA. For the material assume a Young's Modulus, Poisson Ratio and density of 210GPa, 0.3 and 7850k g/m³ respectively.

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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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

4. A steel rotor of a gas turbine of 400mm outside diameter, 150mm inside diameter and 25mm
thick is shrunk onto a solid steel shaft. At its service speed of 3000rev/min the radial stress on
the outside of the rotor is 1.45MPA. Determine the shrinkage allowance required in order to
avoid failure, if the design stress limit of the material is 200MPA.
For the material assume a Young's Modulus, Poisson Ratio and density of 210GPA, 0.3 and
7850k g/m3
respectively.

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