For the loading shown on the L-shaped part, determine the state of stress at points a, b, and c. Write each state of 12 in. stress in the form of a tensor, observing the r-y-z coor- dinate system shown, and sketch the stresses acting on a differential element at each point. 1.8 in. 1.2 kip 6 in. 1.2 kip 0.5 in. B 1.0 in. 1.0 in.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Text Transcription:**

For the loading shown on the L-shaped part, determine the state of stress at points \(a\), \(b\), and \(c\). Write each state of stress in the form of a tensor, observing the \(x-y-z\) coordinate system shown, and sketch the stresses acting on a differential element at each point.

**Diagram Explanation:**

The diagram illustrates an L-shaped part with specific dimensions and forces acting upon it. The key features include:

- Coordinate axes (\(x\), \(y\), and \(z\)) are marked for reference.
- The L-shaped part has two notable segments: one extending vertically and one extending horizontally.
- Important dimensions are marked: the vertical segment is 1.8 inches in height, and the horizontal segment is 6 inches in width, extending 12 inches in length.
- A force of 1.2 kip is applied diagonally from point \(A\) in the direction shown.
- Points \(A\) and \(B\) inside the L-shape are marked where the state of stress needs determination.
- The inset shows the cross-section at point \(c\), which is a 1.0 inch by 1.0 inch square.

This representation helps in visualizing the physical setup for calculating and analyzing stress at the given points.
Transcribed Image Text:**Text Transcription:** For the loading shown on the L-shaped part, determine the state of stress at points \(a\), \(b\), and \(c\). Write each state of stress in the form of a tensor, observing the \(x-y-z\) coordinate system shown, and sketch the stresses acting on a differential element at each point. **Diagram Explanation:** The diagram illustrates an L-shaped part with specific dimensions and forces acting upon it. The key features include: - Coordinate axes (\(x\), \(y\), and \(z\)) are marked for reference. - The L-shaped part has two notable segments: one extending vertically and one extending horizontally. - Important dimensions are marked: the vertical segment is 1.8 inches in height, and the horizontal segment is 6 inches in width, extending 12 inches in length. - A force of 1.2 kip is applied diagonally from point \(A\) in the direction shown. - Points \(A\) and \(B\) inside the L-shape are marked where the state of stress needs determination. - The inset shows the cross-section at point \(c\), which is a 1.0 inch by 1.0 inch square. This representation helps in visualizing the physical setup for calculating and analyzing stress at the given points.
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