Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 18 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txyand 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 C X n

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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M8

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 18 MPa in size.
(a) Determine the stresses Ox, Oy, and the magnitude of Txyand 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).
Answer:
(a) ox- i
Oy- i
Txy-
(b) On-i
Ot- i
Tnt - i
i
y
C
MPa
MPa
MPa
MPa
MPa
MPa
X
n
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 18 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txyand 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). Answer: (a) ox- i Oy- i Txy- (b) On-i Ot- i Tnt - i i y C MPa MPa MPa MPa MPa MPa X n
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