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Q1 A thick-walled, steel cylinder of internal radius r₁ = 0.08m and external radius ro = 0.12m is subjected to an internal pressure, Pi = 150MPa. The internal pressure is retained by pistons that may be assumed to slide without friction in the bore of the cylinder, Figure Q1a. Pi ro ri Figure Q1a (a) Calculate the radial and circumferential stresses at the inner and outer surfaces of the cylinder. (b) Calculate the axial strain for the internal pressure of 150MPa and the change in length, if the pressurised length of the cylinder is 0.8m when unloaded. Esteel 205GPa = Vsteel = 0.3 (c) The design is modified and the cylinder is mounted between rigid surfaces at both ends such that its length remains fixed, Figure Q1b. By consideration of stresses at the internal radius, r₁, of the cylinder according to the Von Mises Criterion, calculate the pressure required to initiate yield in the cylinder wall. The yield stress for the material, σy = 450 MPa. Pi Figure Q1b

Q1 A thick-walled, steel cylinder of internal radius r₁ = 0.08m and external radius ro = 0.12m is subjected to an internal pressure, Pi = 150MPa. The internal pressure is retained by pistons that may be assumed to slide without friction in the bore of the cylinder, Figure Q1a. Pi ro ri Figure Q1a (a) Calculate the radial and circumferential stresses at the inner and outer surfaces of the cylinder. (b) Calculate the axial strain for the internal pressure of 150MPa and the change in length, if the pressurised length of the cylinder is 0.8m when unloaded. Esteel 205GPa = Vsteel = 0.3 (c) The design is modified and the cylinder is mounted between rigid surfaces at both ends such that its length remains fixed, Figure Q1b. By consideration of stresses at the internal radius, r₁, of the cylinder according to the Von Mises Criterion, calculate the pressure required to initiate yield in the cylinder wall. The yield stress for the material, σy = 450 MPa. Pi Figure Q1b

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Q1 A thick-walled, steel cylinder of internal radius r₁ = 0.08m and external radius ro = 0.12m is subjected to an internal pressure, Pi = 150MPa. The internal pressure is retained by pistons that may be assumed to slide without friction in the bore of the cylinder, Figure Q1a. Pi ro ri Figure Q1a (a) Calculate the radial and circumferential stresses at the inner and outer surfaces of the cylinder. (b) Calculate the axial strain for the internal pressure of 150MPa and the change in length, if the pressurised length of the cylinder is 0.8m when unloaded. Esteel 205GPa = Vsteel = 0.3 (c) The design is modified and the cylinder is mounted between rigid surfaces at both ends such that its length remains fixed, Figure Q1b. By consideration of stresses at the internal radius, r₁, of the cylinder according to the Von Mises Criterion, calculate the pressure required to initiate yield in the cylinder wall. The yield stress for the material, σy = 450 MPa. Pi Figure Q1b
Transcribed Image Text:Q1 A thick-walled, steel cylinder of internal radius r₁ = 0.08m and external radius ro = 0.12m is subjected to an internal pressure, Pi = 150MPa. The internal pressure is retained by pistons that may be assumed to slide without friction in the bore of the cylinder, Figure Q1a. Pi ro ri Figure Q1a (a) Calculate the radial and circumferential stresses at the inner and outer surfaces of the cylinder. (b) Calculate the axial strain for the internal pressure of 150MPa and the change in length, if the pressurised length of the cylinder is 0.8m when unloaded. Esteel 205GPa = Vsteel = 0.3 (c) The design is modified and the cylinder is mounted between rigid surfaces at both ends such that its length remains fixed, Figure Q1b. By consideration of stresses at the internal radius, r₁, of the cylinder according to the Von Mises Criterion, calculate the pressure required to initiate yield in the cylinder wall. The yield stress for the material, σy = 450 MPa. Pi Figure Q1b
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