Ox+0y , Ox-Oy Plane-stress transformation: 0r, =· 2 -cos20 + Txysin20 Txryı 2 sin20 + TxyC0s20 2 Ox+0y Ox-Oy Oy, = 2 cos20 – 2 - Txysin20 The state of plane stress at a point is represented on the element shown in the figure below. Determine the state of stress at this point on another element oriented 28° clockwise from the position shown. Show your work. 25 ksi 12 ksi

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 7.3.18P: -18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a)...
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Ox+0y , Ox-Oy
Plane-stress transformation: 0x, =
2
-cos20 + TxySin20 Txryı
2
sin20 + TxyCos20
2
Ox+0y Ox-Oy
Oyi
у
-cos20 – Txysin20
2
2
The state of plane stress at a point is represented on the element shown in the figure below. Determine the state of
stress at this point on another element oriented 28° clockwise from the position shown. Show your work.
25 ksi
12 ksi
Transcribed Image Text:Ox+0y , Ox-Oy Plane-stress transformation: 0x, = 2 -cos20 + TxySin20 Txryı 2 sin20 + TxyCos20 2 Ox+0y Ox-Oy Oyi у -cos20 – Txysin20 2 2 The state of plane stress at a point is represented on the element shown in the figure below. Determine the state of stress at this point on another element oriented 28° clockwise from the position shown. Show your work. 25 ksi 12 ksi
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