The state of stress at a point with respect to a Ox₁x₂x3 coordinate system is given by 10.1= 3 2 31 0 20 -21 What are the stress components with respect to axes Oxxx, which are obtained from the first by a 45° rotation (positive counterclockwise) about the x3 axis
The state of stress at a point with respect to a Ox₁x₂x3 coordinate system is given by 10.1= 3 2 31 0 20 -21 What are the stress components with respect to axes Oxxx, which are obtained from the first by a 45° rotation (positive counterclockwise) about the x3 axis
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The state of stress at a point with respect to a \( O x_1 x_2 x_3 \) coordinate system is given by:
\[
[\sigma_{ij}] =
\begin{bmatrix}
1 & 3 & 2 \\
3 & 1 & 0 \\
2 & 0 & -2
\end{bmatrix}
\]
What are the stress components with respect to axes \( O x_1' x_2' x_3' \), which are obtained from the first by a \(45^\circ\) rotation (positive counterclockwise) about the \( x_3 \) axis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe38bbf6b-f72d-45f6-b779-5783494b3fda%2F8e6f1ec6-5237-4f99-af5c-e4e53a2c8ebe%2F4wc8gkr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The state of stress at a point with respect to a \( O x_1 x_2 x_3 \) coordinate system is given by:
\[
[\sigma_{ij}] =
\begin{bmatrix}
1 & 3 & 2 \\
3 & 1 & 0 \\
2 & 0 & -2
\end{bmatrix}
\]
What are the stress components with respect to axes \( O x_1' x_2' x_3' \), which are obtained from the first by a \(45^\circ\) rotation (positive counterclockwise) about the \( x_3 \) axis?
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