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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
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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**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.
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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