**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.

Answered: Image /qna-images/answer/db451e5d-b9d9-4b48-b8b0-e4699dec95b9.jpg

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.

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

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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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

**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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