2. Elastic Stress Distributions in a Compound Cylinder In an alternative design, the cylinder has been constructed as a compound cylinder (duplex cylinder) with the same bore and outer radii by shrink-fitting two tubes of the same steel. The nominal radius at the common interface is 150 mm and the radial interference (shrinkage allowance, 8) is 100 μm (micro-meters). The compound cylinder is subjected to the same operating pressure of 200 MPa as in Part 1 above. a) Determine using Lame's equations, the radial and circumferential stresses at the cylinder bore, common interface, and outer surface.

2. Elastic Stress Distributions in a Compound Cylinder In an alternative design, the cylinder has been constructed as a compound cylinder (duplex cylinder) with the same bore and outer radii by shrink-fitting two tubes of the same steel. The nominal radius at the common interface is 150 mm and the radial interference (shrinkage allowance, 8) is 100 μm (micro-meters). The compound cylinder is subjected to the same operating pressure of 200 MPa as in Part 1 above. a) Determine using Lame's equations, the radial and circumferential stresses at the cylinder bore, common interface, and outer surface.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

2. Elastic Stress Distributions in a Compound Cylinder
In an alternative design, the cylinder has been constructed as a compound
cylinder (duplex cylinder) with the same bore and outer radii by shrink-fitting two
tubes of the same steel. The nominal radius at the common interface is 150 mm
and the radial interference (shrinkage allowance, ō) is 100 μm (micro-meters).
The compound cylinder is subjected to the same operating pressure of 200
MPa as in Part 1 above.
a) Determine using Lame's equations, the radial and circumferential
stresses at the cylinder bore, common interface, and outer surface.

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Step 1: Given data;

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Step 2: At inner dia. and Outer dia.;

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Step 3: Calculation of Circumferential Stress by Lame's Equation.

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