1.(a)Explain briefly why a single-cylinder ('mono cylinder') may be replacedwith a force-fitted compound cylinder ('duplex cylinder') with the sameinner and outer diameters for a high internal pressure bearingapplication.(b) An alloy steel cylinder of bore radius (n) 40 mm and outer radius (R) 60mm is subjected to an external pressure of 30 MNM2.(1) Determine the circumferential stresses generated at the bore andouter surface of the cylinder.(II) Sketch the form of distribution of radial and circumferentialstresses across a radius.(c) The cylinder in (b) above is to be used as a hydraulic cylinder. For thisapplication, it needs to be strengthened by shrink fitting onto it a sleeveof outer radius (ro) of 80 mm of the same steel as shown in Figure 1(c).The interference pressure generated due to this fit is 30 MNM2.Observe: This pressure is the same as the external pressure used in thecalculations in part (b).(1) Determine the circumferential stress generated in the sleeve(outer cylinder) at the common interface due to this fit.(II) Sketch the form of distribution of radial and circumferentialstresses across a radius in the compound cylinder.AssemblyFigure 1(c)(d) If Young's modulus for steel is 210 GNM2, calculate the shrinkageAllowance (6c) required to generate the fit in (c).

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(a) Explain briefly why a single-cylinder ('mono cylinder') may be replaced with a force-fitted compound cylinder ('duplex cylinder') with the same inner and outer diameters for a high internal pressure bearing application.

(a) Explain briefly why a single-cylinder ('mono cylinder') may be replaced with a force-fitted compound cylinder ('duplex cylinder') with the same inner and outer diameters for a high internal pressure bearing application.

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

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

1.
(a)
Explain briefly why a single-cylinder ('mono cylinder') may be replaced
with a force-fitted compound cylinder ('duplex cylinder') with the same
inner and outer diameters for a high internal pressure bearing
application.
(b) An alloy steel cylinder of bore radius (n) 40 mm and outer radius (R) 60
mm is subjected to an external pressure of 30 MNM2.
(1) Determine the circumferential stresses generated at the bore and
outer surface of the cylinder.
(II) Sketch the form of distribution of radial and circumferential
stresses across a radius.
(c) The cylinder in (b) above is to be used as a hydraulic cylinder. For this
application, it needs to be strengthened by shrink fitting onto it a sleeve
of outer radius (ro) of 80 mm of the same steel as shown in Figure 1(c).
The interference pressure generated due to this fit is 30 MNM2.
Observe: This pressure is the same as the external pressure used in the
calculations in part (b).
(1) Determine the circumferential stress generated in the sleeve
(outer cylinder) at the common interface due to this fit.
(II) Sketch the form of distribution of radial and circumferential
stresses across a radius in the compound cylinder.
Assembly
Figure 1(c)
(d) If Young's modulus for steel is 210 GNM2, calculate the shrinkage
Allowance (6c) required to generate the fit in (c).

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