2.(a) A steel cylinder of 60 mm inner radius and 80 mm outer radius issubjected to an internal pressure of 30 MNm ². Determine theresulting hoop stress values at the inner and outer surfaces andgraphically represent (sketch) the general form of hoop stressvariation through the thickness of the cylinder wall.(b)(c)The cylinder in (a) is to be used as a shrink-fitted sleeve tostrengthen a hydraulic cylinder manufactured of the same steel.The cylinder bore radius is 40 mm. When the hydraulic cylinderis not subjected to internal pressure, the interference pressuregenerated due to the shrink fit alone is 30 MNm2. Note: This isthe same value of pressure as in the problem analysed in part(a).Determine the resulting hoop stress values at the inner and outerwalls of the inner cylinder.Graphically represent the general form of hoop stress variationthrough the wall thickness in the combination indicating the keyvalues as calculated in parts (a) and (b).(d)If the Young's modulus for steel is 210 GNm2, determine theshrinkage allowance for the compound cylinder in (b). Young'smodulus for steel is 210 GNm-².(e)If the two cylinders were of different materials, what additionaldata would have been required to calculate the shrinkageallowance?

Note: As per the bartleby guidelines only three subpart will be solved at a time for remaining…

(a) A steel cylinder of 60 mm inner radius and 80 mm outer radius is subjected to an internal pressure of 30 MNm2. Determine the resulting hoop stress values at the inner and outer surfaces and graphically represent (sketch) the general form of hoop stress variation through the thickness of the cylinder wall. (b) (c) The cylinder in (a) is to be used as a shrink-fitted sleeve to strengthen a hydraulic cylinder manufactured of the same steel. The cylinder bore radius is 40 mm. When the hydraulic cylinder is not subjected to internal pressure, the interference pressure generated due to the shrink fit alone is 30 MNm². Note: This is the same value of pressure as in the problem analysed in part (a). Determine the resulting hoop stress values at the inner and outer walls of the inner cylinder. Graphically represent the general form of hoop stress variation through the wall thickness in the combination indicating the key values as calculated in parts (a) and (b).

(a) A steel cylinder of 60 mm inner radius and 80 mm outer radius is subjected to an internal pressure of 30 MNm2. Determine the resulting hoop stress values at the inner and outer surfaces and graphically represent (sketch) the general form of hoop stress variation through the thickness of the cylinder wall. (b) (c) The cylinder in (a) is to be used as a shrink-fitted sleeve to strengthen a hydraulic cylinder manufactured of the same steel. The cylinder bore radius is 40 mm. When the hydraulic cylinder is not subjected to internal pressure, the interference pressure generated due to the shrink fit alone is 30 MNm². Note: This is the same value of pressure as in the problem analysed in part (a). Determine the resulting hoop stress values at the inner and outer walls of the inner cylinder. Graphically represent the general form of hoop stress variation through the wall thickness in the combination indicating the key values as calculated in parts (a) and (b).

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

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.
(a) A steel cylinder of 60 mm inner radius and 80 mm outer radius is
subjected to an internal pressure of 30 MNm ². Determine the
resulting hoop stress values at the inner and outer surfaces and
graphically represent (sketch) the general form of hoop stress
variation through the thickness of the cylinder wall.
(b)
(c)
The cylinder in (a) is to be used as a shrink-fitted sleeve to
strengthen a hydraulic cylinder manufactured of the same steel.
The cylinder bore radius is 40 mm. When the hydraulic cylinder
is not subjected to internal pressure, the interference pressure
generated due to the shrink fit alone is 30 MNm2. Note: This is
the same value of pressure as in the problem analysed in part
(a).
Determine the resulting hoop stress values at the inner and outer
walls of the inner cylinder.
Graphically represent the general form of hoop stress variation
through the wall thickness in the combination indicating the key
values as calculated in parts (a) and (b).
(d)
If the Young's modulus for steel is 210 GNm2, determine the
shrinkage allowance for the compound cylinder in (b). Young's
modulus for steel is 210 GNm-².
(e)
If the two cylinders were of different materials, what additional
data would have been required to calculate the shrinkage
allowance?

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