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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

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