5-38. Determine the reactions at the supports at A, E, and B of the compound beam.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem 5-38: Support Reactions of a Compound Beam**

*Objective:*
Determine the reactions at the supports at points A, E, and B in the compound beam structure.

*Description of Diagram:*

The diagram illustrates a compound beam with multiple support points and distributed loads. Here's a detailed description of the elements presented in the diagram:

1. **Beam Structure:**
   - The beam is segmented and rests on supports at points A, E, and B.
   - The beam is composed of straight horizontal segments with junctions at points C and D.

2. **Supports:**
   - Point A: The beam is fixed to a wall, likely providing both vertical and horizontal support.
   - Point E: The beam rests on a standard support, suggesting vertical support only.
   - Point B: The beam ends on a pulley-like or roller support, likely providing vertical support only.

3. **Distributed Loads:**
   - There are two triangular distributed load areas acting on the beam:
     - The first load, from point A to point C, has a maximum intensity of 900 N/m over a distance of 3 meters. 
     - The second load, from point D to point E, also has a maximum intensity of 900 N/m over a distance of 3 meters.

4. **Segment Lengths:**
   - The segment lengths are marked:
     - A to C: 3 meters
     - C to D: 4 meters
     - D to E: 3 meters
     - E to B: 3 meters

The objective is to calculate the support reactions at these specific points considering the load distribution across the beams and the roles of the supports.
Transcribed Image Text:**Problem 5-38: Support Reactions of a Compound Beam** *Objective:* Determine the reactions at the supports at points A, E, and B in the compound beam structure. *Description of Diagram:* The diagram illustrates a compound beam with multiple support points and distributed loads. Here's a detailed description of the elements presented in the diagram: 1. **Beam Structure:** - The beam is segmented and rests on supports at points A, E, and B. - The beam is composed of straight horizontal segments with junctions at points C and D. 2. **Supports:** - Point A: The beam is fixed to a wall, likely providing both vertical and horizontal support. - Point E: The beam rests on a standard support, suggesting vertical support only. - Point B: The beam ends on a pulley-like or roller support, likely providing vertical support only. 3. **Distributed Loads:** - There are two triangular distributed load areas acting on the beam: - The first load, from point A to point C, has a maximum intensity of 900 N/m over a distance of 3 meters. - The second load, from point D to point E, also has a maximum intensity of 900 N/m over a distance of 3 meters. 4. **Segment Lengths:** - The segment lengths are marked: - A to C: 3 meters - C to D: 4 meters - D to E: 3 meters - E to B: 3 meters The objective is to calculate the support reactions at these specific points considering the load distribution across the beams and the roles of the supports.
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