Given the following state of stress at a point in a continuum, [X₁ X₂ X₂² 2 0 2 [0] = x₂² 0 2 X2X3 X3² MPa. X32 X3X1 Determine: (a) The body force vector such that the stress tensor corresponds to an equilibrium state. (b) The stress vector (t) at point (1, 2, 3) on the plane whose outward unit normal vector makes equal angles with the 3 positive coordinate axes.
Given the following state of stress at a point in a continuum, [X₁ X₂ X₂² 2 0 2 [0] = x₂² 0 2 X2X3 X3² MPa. X32 X3X1 Determine: (a) The body force vector such that the stress tensor corresponds to an equilibrium state. (b) The stress vector (t) at point (1, 2, 3) on the plane whose outward unit normal vector makes equal angles with the 3 positive coordinate axes.
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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![Given the following state of stress at a point in a continuum,
[X₁ X₂ X₂²
2
0
2
[0] = x₂²
0
2
X2X3 X3² MPa.
X32 X3X1
Determine:
(a) The body force vector such that the stress tensor corresponds to an equilibrium state.
(b) The stress vector (t) at point (1, 2, 3) on the plane whose outward unit normal vector
makes equal angles with the 3 positive coordinate axes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F780f9839-f737-4aba-91a2-6210989911b1%2F0902ed03-f42e-4eba-896e-457eff60f883%2Ffwtpq3tw_processed.png&w=3840&q=75)
Transcribed Image Text:Given the following state of stress at a point in a continuum,
[X₁ X₂ X₂²
2
0
2
[0] = x₂²
0
2
X2X3 X3² MPa.
X32 X3X1
Determine:
(a) The body force vector such that the stress tensor corresponds to an equilibrium state.
(b) The stress vector (t) at point (1, 2, 3) on the plane whose outward unit normal vector
makes equal angles with the 3 positive coordinate axes.
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