Solve parts (a) to (c) using transformation equations only (not Mohr's circle), and show the complete state of stress with the appropriate stress element properly oriented relative to the given xy coordinate system. Given the state of plane stress shown, (a) determine the state of stress for an element oriented 20° clockwise relative to the given xy coordinate system. (b) determine the state of stress for the element containing the principal stresses. (c) determine the state of stress for the element containing the maximum in- plane shear stresses.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Solve parts (a) to (c) using transformation equations only (not Mohr's circle),
and show the complete state of stress with the appropriate stress element
properly oriented relative to the given xy coordinate system. Given the state of
plane stress shown,
(a) determine the state of stress for an element oriented 20° clockwise
relative to the given xy coordinate system.
(b) determine the state of stress for the element containing the principal
stresses.
(c) determine the state of stress for the element containing the maximum in-
plane shear stresses.
(d) determine the state of stress for the element containing the maximum
shear stresses.
(e) draw Mohr's circle indicating the states of stress and angular orientation
found in parts (a) to (c).
-
8 MPa
40 MPa
12 MPa
x
Transcribed Image Text:Solve parts (a) to (c) using transformation equations only (not Mohr's circle), and show the complete state of stress with the appropriate stress element properly oriented relative to the given xy coordinate system. Given the state of plane stress shown, (a) determine the state of stress for an element oriented 20° clockwise relative to the given xy coordinate system. (b) determine the state of stress for the element containing the principal stresses. (c) determine the state of stress for the element containing the maximum in- plane shear stresses. (d) determine the state of stress for the element containing the maximum shear stresses. (e) draw Mohr's circle indicating the states of stress and angular orientation found in parts (a) to (c). - 8 MPa 40 MPa 12 MPa x
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