3- Calculate the reactions at supports A and F of the beam shown below.
3- Calculate the reactions at supports A and F of the beam shown below.
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:**Educational Content: Beam Reactions and Force Analysis**
### Problem Statement
1. **Calculate the reactions at supports A and F of the beam shown below.**
**Diagram Explanation:**
- The beam is supported at points A and F.
- There are two point loads on the beam:
- 12 kN at point B located 5 meters from A.
- 21 kN at point D located 3 meters from B.
- The distances between supports and loads are as follows:
- A to B: 5 meters
- B to D: 3 meters
- D to F: composed of sections of 4 meters and 4 meters respectively.
2. **Assignment Details**
- **Course Code:** ES - 110
- **Homework Number:** 6
- **Due Date:** 10/19/21
### Additional Problem (Force Analysis)
- A structure is illustrated involving a load and forces:
- **300 lb** force applied at point D.
- The structure includes a smooth surface at point A.
- Forces are considered at various points including vertical (A<sub>V</sub>) and horizontal (A<sub>H</sub>) reactions at A, and a reaction at F (R<sub>F</sub>).
- Geometric details are included:
- Vertical height of 6 units from point D.
- Horizontal distances of 1 unit, 2 units, 4 units, etc., leading to a trapezoidal arrangement.
### Notes for Analysis
- **Statics principles** are applied to solve for reactions at supports.
- Use equilibrium equations:
- Sum of vertical forces = 0
- Sum of horizontal forces = 0
- Sum of moments about any point = 0
These exercises aim to practice the application of static equilibrium conditions to solve for unknown reactions in structural engineering problems.
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