Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 MPa in size. (a) Determine the stresses oy, Oy, and the magnitude of Tyyand show them on a stress element. (b) Determine the stresses on, Ot, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). y Answer:

Structural Analysis
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Chapter2: Loads On Structures
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Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 MPa in size.
(a) Determine the stresses oy, Oy, and the magnitude of Tyy and show them on a stress element.
(b) Determine the stresses on, Ot, and the magnitude of Tpt and show them on a stress element that is properly rotated with respect to
the x-y element. The sketch must include the magnitude of the angle between thex and n axes and an indication of the rotation
direction (i.e., either clockwise or counterclockwise).
Answer:
MPа
(a) ox = -52
MPa
Oy =
110.0720
110.0720
MPа
Txy =
MPa
(b) On =
58.30865
MPа
Ot =
-162.30865
MPa
Tnt =
110.3086
Transcribed Image Text:Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 MPa in size. (a) Determine the stresses oy, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the stresses on, Ot, and the magnitude of Tpt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: MPа (a) ox = -52 MPa Oy = 110.0720 110.0720 MPа Txy = MPa (b) On = 58.30865 MPа Ot = -162.30865 MPa Tnt = 110.3086
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