THICK-WALLED PRESSURE VESSELS A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm inside diameter. When subjected to an operating pressure of 200 MPa, the radial pressure generated at the common interface is 75 MNm-². a) Determine using Lame's equations, i. ii. the radial and circumferential stresses at the cylinder bore, common interface and the outer surface. Graphically present the variation of each of these stresses across the cylinder wall, clearly indicating the values at the inner and outer surfaces of each cylinder.

THICK-WALLED PRESSURE VESSELS A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm inside diameter. When subjected to an operating pressure of 200 MPa, the radial pressure generated at the common interface is 75 MNm-². a) Determine using Lame's equations, i. ii. the radial and circumferential stresses at the cylinder bore, common interface and the outer surface. Graphically present the variation of each of these stresses across the cylinder wall, clearly indicating the values at the inner and outer surfaces of each cylinder.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

THICK-WALLED PRESSURE VESSELS
A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter
and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm
inside diameter. When subjected to an operating pressure of 200 MPa, the radial
pressure generated at the common interface is 75 MNm-².
a) Determine using Lame's equations,
i. the radial and circumferential stresses at the cylinder bore,
common interface and the outer surface.
ii.
Graphically present the variation of each of these stresses across
the cylinder wall, clearly indicating the values at the inner and outer
surfaces of each cylinder.

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Step 2: Calculation of hoop stress in Inner cylinder

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Step 3: Calculation of hoop stress in outer cylinder

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Step 4: Calculation of hoop stress due to operating presure

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