A pressure vessel has an outside diameter of 50 mm and a wall thickness of 2mm and is subject to an internal Pressure of 50 bar. It is also subject to a positive Torque of 1000 Nm. Calculate the stresses acting on an element on the outer surface of the vessel and show the resulting state of stress on a cube diagram. Calculate the principal stresses and the principal angle and show this state of transformed stress on a cube diagram. Calculate the effective stress according to both Tresca and von Mises failure criteria, and determine the minimum yield strength required to provide a factor of safety of 3 for the load case provided. Sketch a Mohr's circle of stress, showing the principal stresses calculated in (b) and the maximum shear stress.
A pressure vessel has an outside diameter of 50 mm and a wall thickness of 2mm and is subject to an internal Pressure of 50 bar. It is also subject to a positive Torque of 1000 Nm. Calculate the stresses acting on an element on the outer surface of the vessel and show the resulting state of stress on a cube diagram. Calculate the principal stresses and the principal angle and show this state of transformed stress on a cube diagram. Calculate the effective stress according to both Tresca and von Mises failure criteria, and determine the minimum yield strength required to provide a factor of safety of 3 for the load case provided. Sketch a Mohr's circle of stress, showing the principal stresses calculated in (b) and the maximum shear stress.
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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![A pressure vessel has an outside diameter of 50 mm and a wall thickness of
2mm and is subject to an internal Pressure of 50 bar. It is also subject to a
positive Torque of 1000 Nm.
Calculate the stresses acting on an element on the outer surface of the vessel
and show the resulting state of stress on a cube diagram.
Calculate the principal stresses and the principal angle and show this state of
transformed stress on a cube diagram.
Calculate the effective stress according to both Tresca and von Mises failure
criteria, and determine the minimum yield strength required to provide a factor
of safety of 3 for the load case provided.
Sketch a Mohr's circle of stress, showing the principal stresses calculated in (b)
and the maximum shear stress.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefc4cde9-56dc-4afa-9c45-879ca2c9f347%2Fa3a027c4-c850-4e00-8975-feea9c5d5f29%2Foo2nfpq_processed.png&w=3840&q=75)
Transcribed Image Text:A pressure vessel has an outside diameter of 50 mm and a wall thickness of
2mm and is subject to an internal Pressure of 50 bar. It is also subject to a
positive Torque of 1000 Nm.
Calculate the stresses acting on an element on the outer surface of the vessel
and show the resulting state of stress on a cube diagram.
Calculate the principal stresses and the principal angle and show this state of
transformed stress on a cube diagram.
Calculate the effective stress according to both Tresca and von Mises failure
criteria, and determine the minimum yield strength required to provide a factor
of safety of 3 for the load case provided.
Sketch a Mohr's circle of stress, showing the principal stresses calculated in (b)
and the maximum shear stress.
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