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ME206_Q5 - Surname Name ID number 28.12.2010 ME206 Fall...

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Surname: Name: ID number: 28.12.2010 ME206 - Fall 2010 QUIZ 5 Q. A cylindrical pressure vessel is subjected to torsion as shown below. The vessel has an inner diameter of 1.2 m and a thickness of 15 mm. Internal pressure of the vessel is p = 1 MPa. Consider an arbitrary point on the surface of the vessel as shown above. a) Show the state of plane stress on the element. b) Determine the principal stresses. c) Determine the maximum in plane shear stress. Hint: , 2 pr pr t t SOLUTION: Circumferencial and longitudinal stresses can be found as follows:     1 600 40 Mpa 15 1 600 20 Mpa 2 2 15 y x pr t pr t Shear stress due to torsion can be found as follows:
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