Q2) The state of plane stress at a point can be described by a known tensile stress -70 MPa, an unknown tensile stress o, and an unknown shear stress T, as indicated in Figure (2). At this point the maximum in - plane shear stress is 78 MPa, and one of the two in - plane principal stresses is 22 MPa (tension). Determine the values of the two unknown stresses, labeled o and T on the Figure, and determine the second in – plane principal stress. The stresses act in the directions shown on Figure (2), chat is, o-o and T-T.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
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Q2) The state of plane stress at a point can be described by a known tensile stress
o-70 MPa, an unknown tensile stress o, and an unknown shear stress T, as indicated
in Figure (2). At this point the maximum in – plane shear stress is 78 MPa, and one
of the two in - plane principal stresses is 22 MPa (tension). Determine the values of
the two unknown stresses, labeled o and t on the Figure, and determine the second
in – plane principal stress. The stresses act in the directions shown on Figure (2),
that is, oy-o and Ty-T.
70 MPa
Figure (2)
Transcribed Image Text:Q2) The state of plane stress at a point can be described by a known tensile stress o-70 MPa, an unknown tensile stress o, and an unknown shear stress T, as indicated in Figure (2). At this point the maximum in – plane shear stress is 78 MPa, and one of the two in - plane principal stresses is 22 MPa (tension). Determine the values of the two unknown stresses, labeled o and t on the Figure, and determine the second in – plane principal stress. The stresses act in the directions shown on Figure (2), that is, oy-o and Ty-T. 70 MPa Figure (2)
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