Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 16 MPa in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the stresses σn, σt, and the magnitude of τnt 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).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 16 MPa in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the stresses σn, σt, and the magnitude of τnt 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).

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 16 MPa in size.
(a) Determine the stresses o,, Oy, and the magnitude of Txyand show them on a stress element.
(b) Determine the stresses o,n, O, 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:
(a) Ox =
30
MPa
Oy =
-90
MPa
Txy =
90
MPa
(b) ơn =
80
MPа
Ot -
-120
MPа
Int =
30
MPa
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 16 MPa in size. (a) Determine the stresses o,, Oy, and the magnitude of Txyand show them on a stress element. (b) Determine the stresses o,n, O, 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: (a) Ox = 30 MPa Oy = -90 MPa Txy = 90 MPa (b) ơn = 80 MPа Ot - -120 MPа Int = 30 MPa
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