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Determine the reactions at supports A and B of the beam shown. Neglect the weight of the beam.

Determine the reactions at supports A and B of the beam shown. Neglect the weight of the beam.

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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4.27 Determine the reactions at supports A and B of the beam shown. Neglect the weight of the beam.

**Problem 4.27** **Objective:** Determine the reactions at supports A and B of the beam shown. Neglect the weight of the beam. **Diagram Explanation:** - The beam is horizontally supported at point A by a pin support and at point B by a roller support. - The beam is subjected to two external forces: - An 800 lb force inclined at 60 degrees to the horizontal, located 3 feet from point A. - A 500 lb vertical force located 5 feet from the 800 lb force, and 3 feet from point B. - Point A offers both horizontal and vertical reaction forces due to the pin support. - Point B, with the roller support, only provides a reaction force perpendicular to the inclined surface. - A right triangle is shown at point B with legs of 3 and 4, indicating the incline's angle with the horizontal. **Dimensional Details:** - The distances between the forces and supports are clearly marked: - From point A to the 800 lb force: 3 feet. - Between the 800 lb force and 500 lb force: 5 feet. - From the 500 lb force to point B: 3 feet. The aim is to calculate the reaction forces at A and B, considering these details and neglecting the weight of the beam itself.
Transcribed Image Text:**Problem 4.27** **Objective:** Determine the reactions at supports A and B of the beam shown. Neglect the weight of the beam. **Diagram Explanation:** - The beam is horizontally supported at point A by a pin support and at point B by a roller support. - The beam is subjected to two external forces: - An 800 lb force inclined at 60 degrees to the horizontal, located 3 feet from point A. - A 500 lb vertical force located 5 feet from the 800 lb force, and 3 feet from point B. - Point A offers both horizontal and vertical reaction forces due to the pin support. - Point B, with the roller support, only provides a reaction force perpendicular to the inclined surface. - A right triangle is shown at point B with legs of 3 and 4, indicating the incline's angle with the horizontal. **Dimensional Details:** - The distances between the forces and supports are clearly marked: - From point A to the 800 lb force: 3 feet. - Between the 800 lb force and 500 lb force: 5 feet. - From the 500 lb force to point B: 3 feet. The aim is to calculate the reaction forces at A and B, considering these details and neglecting the weight of the beam itself.
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