Using Mohr's circle and analytical method, determine the following: (a) the principal stresses; (b) average stress; (c) maximum shear stress; (d) the angle of rotation of principal stress element; and (e) the angle of rotation of the maximum shear stress element.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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For the given set of stresses,
Using Mohr's circle and analytical method, determine the following:
(a) the principal stresses;
(b) average stress;
(c) maximum shear stress;
(d) the angle of rotation of principal stress element; and
(e) the angle of rotation of the maximum shear stress element.
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15
Ox
20 ksi
-85 ksi
40 ksi
-80 ksi
-120 ksi
-100 MPa
-250 MPa
50 MPa
150 MPa
0 MPa
40 ksi
0 ksi
38 ksi
55 ksi
22 ksi
σy
0 ksi
40 ksi
-40 ksi
40 ksi
40 ksi
0 MPa
80 MPa
-80 MPa
-80 MPa
0 MPa
0 ksi
0 ksi
-25 ksi
0 ksi
0 ksi
Txy
10 ksi
30 ksi
-30 ksi
-30 ksi
-20 ksi
80 MPa
-110 MPa
40 MPa
-40 MPa
40 MPa
0 ksi
40 ksi
-18 ksi
0 ksi
6.8 ksi
Transcribed Image Text:For the given set of stresses, Using Mohr's circle and analytical method, determine the following: (a) the principal stresses; (b) average stress; (c) maximum shear stress; (d) the angle of rotation of principal stress element; and (e) the angle of rotation of the maximum shear stress element. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Ox 20 ksi -85 ksi 40 ksi -80 ksi -120 ksi -100 MPa -250 MPa 50 MPa 150 MPa 0 MPa 40 ksi 0 ksi 38 ksi 55 ksi 22 ksi σy 0 ksi 40 ksi -40 ksi 40 ksi 40 ksi 0 MPa 80 MPa -80 MPa -80 MPa 0 MPa 0 ksi 0 ksi -25 ksi 0 ksi 0 ksi Txy 10 ksi 30 ksi -30 ksi -30 ksi -20 ksi 80 MPa -110 MPa 40 MPa -40 MPa 40 MPa 0 ksi 40 ksi -18 ksi 0 ksi 6.8 ksi
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