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9. A thin plate in plane stress is subjected to stresses o, , (o, , and Ty (see figure). The stress (o, equals 10 MPa (tension). It is also known that on planes oriented at 0 = 40° and 80° the normal stresses are 28 MPa (tension). Determine the stresses o, and tzy 10 MP 0. Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. 25 MPa

9. A thin plate in plane stress is subjected to stresses o, , (o, , and Ty (see figure). The stress (o, equals 10 MPa (tension). It is also known that on planes oriented at 0 = 40° and 80° the normal stresses are 28 MPa (tension). Determine the stresses o, and tzy 10 MP 0. Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. 25 MPa

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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56 MP 9. A thin plate in plane stress is subjected to stresses o, , (o, , and try (see figure). The stress (o, equals 10 MPa (tension). It is also known that on planes oriented at 0 = 40° and 80° the normal stresses are 28 MPa (tension). Determine the stresses o, andtry 0. Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. + 25 MPa 100 MPa
Transcribed Image Text:56 MP 9. A thin plate in plane stress is subjected to stresses o, , (o, , and try (see figure). The stress (o, equals 10 MPa (tension). It is also known that on planes oriented at 0 = 40° and 80° the normal stresses are 28 MPa (tension). Determine the stresses o, andtry 0. Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. + 25 MPa 100 MPa
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