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.
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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F594838af-74e9-41da-ae02-df56efaa43d5%2F482b4b71-38ac-441a-92db-e0435b038608%2Fk1ca799_processed.png&w=3840&q=75)
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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