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The compound beam is supported by a rocker at B and is fixed to the wall at A. Part A: If it is hinged (pinned) together at C, determine the horizontal component of reaction at the support A. Neglect the thickness of the beam. Part B: Determine the vertical component of reaction at the support A. Part C: Determine the vertical component of reaction at the support B. Part D: Determine the direction of the moment at the support A. Part E: Determine the magnitude of the moment at the support A.

The compound beam is supported by a rocker at B and is fixed to the wall at A. Part A: If it is hinged (pinned) together at C, determine the horizontal component of reaction at the support A. Neglect the thickness of the beam. Part B: Determine the vertical component of reaction at the support A. Part C: Determine the vertical component of reaction at the support B. Part D: Determine the direction of the moment at the support A. Part E: Determine the magnitude of the moment at the support A.

Elements Of Electromagnetics
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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The compound beam is supported by a rocker at B and is fixed to the wall at A.

Part A: If it is hinged (pinned) together at C, determine the horizontal component of reaction at the support A. Neglect the thickness of the beam.

Part B: Determine the vertical component of reaction at the support A.

Part C: Determine the vertical component of reaction at the support B.

Part D: Determine the direction of the moment at the support A.

Part E: Determine the magnitude of the moment at the support A.

### Diagram Description This image depicts a structural mechanics problem involving a horizontal beam supported at two points, A and B. The beam is subject to various forces and moments. #### Diagram Details: - **Beam and Supports:** - The beam is mounted horizontally, extending from point A on the left to point B on the right. - Point A is fixed to a wall or support. - Point B is shown with a moment (curved arrow), suggesting a rotational force. - **Dimensions:** - From A to the first marked section is 4 ft. - Another 4 ft section brings the total distance from A to C to 8 ft. - From C to the next section is 8 ft. - From the last mark to B is 4 ft. - Total length from A to B is 20 ft. - **Forces:** - A 500 lb force is applied at the first marked section from left, angled downward, described by the ratio 5:12. - A 200 lb force is applied vertically downward at the midpoint (C) with an angle of 60° from the horizontal. - A counter-clockwise moment of 4000 lb-ft is applied at point B. - **Coordinate System:** - A coordinate system is shown at the bottom left with positive directions for x (horizontal) and y (vertical). ### Summary This setup focuses on evaluating the effects of applied forces and the resultant stresses on the beam. Understanding the distribution of forces, the angles at which they are applied, and the moment acting on the structure are crucial for solving related mechanical problems, such as determining reactions at the supports and the internal moments at various points along the beam.
Transcribed Image Text:### Diagram Description This image depicts a structural mechanics problem involving a horizontal beam supported at two points, A and B. The beam is subject to various forces and moments. #### Diagram Details: - **Beam and Supports:** - The beam is mounted horizontally, extending from point A on the left to point B on the right. - Point A is fixed to a wall or support. - Point B is shown with a moment (curved arrow), suggesting a rotational force. - **Dimensions:** - From A to the first marked section is 4 ft. - Another 4 ft section brings the total distance from A to C to 8 ft. - From C to the next section is 8 ft. - From the last mark to B is 4 ft. - Total length from A to B is 20 ft. - **Forces:** - A 500 lb force is applied at the first marked section from left, angled downward, described by the ratio 5:12. - A 200 lb force is applied vertically downward at the midpoint (C) with an angle of 60° from the horizontal. - A counter-clockwise moment of 4000 lb-ft is applied at point B. - **Coordinate System:** - A coordinate system is shown at the bottom left with positive directions for x (horizontal) and y (vertical). ### Summary This setup focuses on evaluating the effects of applied forces and the resultant stresses on the beam. Understanding the distribution of forces, the angles at which they are applied, and the moment acting on the structure are crucial for solving related mechanical problems, such as determining reactions at the supports and the internal moments at various points along the beam.
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