Given the beam problem shown in Fig 1.1
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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Transcribed Image Text:### Beam Problem Analysis
**Problem Statement (4-1):**
Given the beam problem shown in Figure 1.1.
- A beam is fixed on one end with a support that resists 1000 lb vertically.
- The beam extends horizontally and experiences additional uniform loading.
- A distributed load of 200 lb/ft acts over a 4-foot span.
- The beam has two points marked as A and B.
### Diagram Details
#### Figure 4.1:
- **Left End:** Fixed support resisting 1000 lb.
- **Span:** Total length of the beam with labeled sections: 2 feet before point A, 2 feet between points A and B, and a 4-foot section after point B bearing the distributed load.
### Tasks
#### a) Free Body Diagram
**Objective:**
Apply all known and unknown forces to create a free body diagram.
**Diagram Components:**
- Mark points A and B on the beam.
- Indicate the direction of forces acting on the beam.
#### b) Hand Calculations
**Objective:**
Determine the true magnitude and direction of the reactions at points A and B.
**Calculation Requirements:**
- Utilize equilibrium equations for force and moment balance to compute unknown reactions.
- Document calculations and assumptions clearly.
#### c) Balanced Free Body Diagram
**Objective:**
Revise the free body diagram to reflect the true magnitude and direction of all forces.
**Diagram Components:**
- Update the representation at points A and B based on calculated forces.
- Ensure the diagram accurately shows equilibrium state.
By completing these tasks, students can better understand beam loading effects and the principles of static equilibrium in structural analysis.
Expert Solution

Step 1
a) Free body diagram of known and unknown forces:
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