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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.

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.153P: Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.
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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).
Transcribed Image Text: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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