**Problem 4.30**Given the following state of stress at a point in a continuum:\[[\sigma] = \begin{bmatrix}5x_2 x_3 & 3x_2^2 & 0 \\3x_2^2 & 0 & -x_1 \\0 & -x_1 & 0\end{bmatrix} \, \text{MPa},\]determine the body force vector such that the stress tensor corresponds to an equilibrium state.

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Answered: Given the following state of stress at…

Given the following state of stress at a point in a continuum, 523 3 0 0-21 -21 0 [a] = 3x² 0 MPa, determine the body force vector such that the stress tensor corresponds to an equilibrium state.

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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**Problem 4.30**

Given the following state of stress at a point in a continuum:

\[
[\sigma] = \begin{bmatrix}
5x_2 x_3 & 3x_2^2 & 0 \\
3x_2^2 & 0 & -x_1 \\
0 & -x_1 & 0
\end{bmatrix} \, \text{MPa},
\]

determine the body force vector such that the stress tensor corresponds to an equilibrium state.

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