The state of stress in a body is uniform and is given by: 0xx = 3MPa ; Txy = 2 MPa; Txz = 4MPa Tyy = 5MPa; Tyz = OMPa; ozz = 2MPa a. Determine the principal stresses and their corresponding eigenvectors (work must be performed by hand) b. Determine the stress vector on a plane oriented at nx=.707, ny=.707, n₂=0 c. Determine the normal stress on the plane given in item (b)

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 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...
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The state of stress in a body is uniform and is given by:
0xx = 3MPa; Txy = 2 MPa; Txz = 4MPa
Oyy = 5MPa; Tyz = OMPa; ozz 2MPa
=
a. Determine the principal stresses and their corresponding eigenvectors (work must be
performed by hand)
b. Determine the stress vector on a plane oriented at nx=.707, ny=.707, n₂=0
c. Determine the normal stress on the plane given in item (b)
Transcribed Image Text:The state of stress in a body is uniform and is given by: 0xx = 3MPa; Txy = 2 MPa; Txz = 4MPa Oyy = 5MPa; Tyz = OMPa; ozz 2MPa = a. Determine the principal stresses and their corresponding eigenvectors (work must be performed by hand) b. Determine the stress vector on a plane oriented at nx=.707, ny=.707, n₂=0 c. Determine the normal stress on the plane given in item (b)
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