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The axially aligned pressure vessel, shown in Fig Q2, is made from aluminium exhibiting a Young's Modulus of 73GPA and a Poisson ratio of 0.34. It has an outer diameter D, of 86mm and a wall thickness t of 5mm. The vessel is subject to an internal pressure P of 150bar and externally applied torque T of 4.5kNm. a) Draw the 2D planar state of stress of any finite element located on the outer surface of the pressure vessel, according to the polar coordinate system provided. b) Sketch the longitudinal, circumferential and planar shear strain profile through the thickness of the vessel wall. c) Determine the minimum factor of safety for the given load cases, assuming the aluminium has a yield strength of 175MPA, and comment on the most likely mode and locus of failure.

The axially aligned pressure vessel, shown in Fig Q2, is made from aluminium exhibiting a Young's Modulus of 73GPA and a Poisson ratio of 0.34. It has an outer diameter D, of 86mm and a wall thickness t of 5mm. The vessel is subject to an internal pressure P of 150bar and externally applied torque T of 4.5kNm. a) Draw the 2D planar state of stress of any finite element located on the outer surface of the pressure vessel, according to the polar coordinate system provided. b) Sketch the longitudinal, circumferential and planar shear strain profile through the thickness of the vessel wall. c) Determine the minimum factor of safety for the given load cases, assuming the aluminium has a yield strength of 175MPA, and comment on the most likely mode and locus of failure.

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
Problem 1.1MA
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The axially aligned pressure vessel, shown in Fig Q2, is made from aluminium exhibiting a Young's Modulus of 73GPa and a Poisson ratio of 0.34. It has an outer diameter D, of 86mm and a wall thickness t of 5mm. The vessel is subject to an internal pressure P of 150bar and externally applied torque T of 4.5kNm. a) Draw the 2D planar state of stress of any finite element located on the outer surface of the pressure vessel, according to the polar coordinate system provided. b) Sketch the longitudinal, circumferential and planar shear strain profile through the thickness of the vessel wall. c) Determine the minimum factor of safety for the given load cases, assuming the aluminium has a yield strength of 175MPA, and comment on the most likely mode and locus of failure. theta i. - Z - T Do Section A-A: Side View End View
Transcribed Image Text:The axially aligned pressure vessel, shown in Fig Q2, is made from aluminium exhibiting a Young's Modulus of 73GPa and a Poisson ratio of 0.34. It has an outer diameter D, of 86mm and a wall thickness t of 5mm. The vessel is subject to an internal pressure P of 150bar and externally applied torque T of 4.5kNm. a) Draw the 2D planar state of stress of any finite element located on the outer surface of the pressure vessel, according to the polar coordinate system provided. b) Sketch the longitudinal, circumferential and planar shear strain profile through the thickness of the vessel wall. c) Determine the minimum factor of safety for the given load cases, assuming the aluminium has a yield strength of 175MPA, and comment on the most likely mode and locus of failure. theta i. - Z - T Do Section A-A: Side View End View
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