O MPa and an axial stress of 325 MPa that act on an element imposes a bending stress of 250 MPa and a torsional stress of O Show the stress components on a differential volume element loc Find the principle stresses (0₁, 02, and 03) at point "A".

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 7.3.16P: A propeller shaft subjected to combined torsion and axial thrust is designed to resist a shear...
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The pressurized cylinder shown in the following figure is rigidly attached at one end and loaded
with a pipe wrench at the other. The internal pressure in the cylinder causes a tangential stress
of 650 MPa and an axial stress of 325 MPa that act on an element at point "A". The pipe wrench
superimposes a bending stress of 250 MPa and a torsional stress of 375 MPa.
a.) Show the stress components on a differential volume element located at point "A".
b.) Find the principle stresses (0₁, 02, and 03) at point "A".
"1
c.) Determine the absolute maximum shear stress "TAbs Max "A"" in the cylinder material at point
"A".
"1
d.) Determine the absolute maximum normal stress "Abs Max "A"
"A".
Partial Ans.
TAbs Max "A" = 494.7 MPa
in the cylinder material at point
Abs Max "A"
= 989.4 MPa
Transcribed Image Text:The pressurized cylinder shown in the following figure is rigidly attached at one end and loaded with a pipe wrench at the other. The internal pressure in the cylinder causes a tangential stress of 650 MPa and an axial stress of 325 MPa that act on an element at point "A". The pipe wrench superimposes a bending stress of 250 MPa and a torsional stress of 375 MPa. a.) Show the stress components on a differential volume element located at point "A". b.) Find the principle stresses (0₁, 02, and 03) at point "A". "1 c.) Determine the absolute maximum shear stress "TAbs Max "A"" in the cylinder material at point "A". "1 d.) Determine the absolute maximum normal stress "Abs Max "A" "A". Partial Ans. TAbs Max "A" = 494.7 MPa in the cylinder material at point Abs Max "A" = 989.4 MPa
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