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Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross section. y 1.2 m A ● 1.4 kN 1.8 m 15 kN.m B ● 1.8 m 30° C 3 kN -1x

Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross section. y 1.2 m A ● 1.4 kN 1.8 m 15 kN.m B ● 1.8 m 30° C 3 kN -1x

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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**Problem Statement:** Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross-section. **Diagram Details:** - The diagram depicts a horizontal beam supported at point O. - The beam experiences several forces and moments along its length: - A vertical upward force of 1.4 kN is applied at point A, located 1.2 meters from the left end O. - A 15 kN·m clockwise moment is applied at point B, which is 1.8 meters from point A. - A 3 kN force at a 30° angle below the horizontal is applied at the right end C of the beam. Point C is 1.8 meters from point B. - The beam extends along the x-axis, with the y-axis representing the vertical direction at point O. - The beam has a total mass of 500 kg, contributing to a uniform gravitational force distributed across its length. **Solution Approach:** To find the support reactions at point O, consider: 1. Calculating the gravitational force due to the mass of the beam. 2. Resolving the angled force at C into horizontal and vertical components. 3. Applying equilibrium equations for forces and moments (∑Fx = 0, ∑Fy = 0, and ∑M = 0) to solve for the reactions at O.
Transcribed Image Text:**Problem Statement:** Find the support reactions at the fixed support O. The beam has a mass of 500 kg, and it has a uniform cross-section. **Diagram Details:** - The diagram depicts a horizontal beam supported at point O. - The beam experiences several forces and moments along its length: - A vertical upward force of 1.4 kN is applied at point A, located 1.2 meters from the left end O. - A 15 kN·m clockwise moment is applied at point B, which is 1.8 meters from point A. - A 3 kN force at a 30° angle below the horizontal is applied at the right end C of the beam. Point C is 1.8 meters from point B. - The beam extends along the x-axis, with the y-axis representing the vertical direction at point O. - The beam has a total mass of 500 kg, contributing to a uniform gravitational force distributed across its length. **Solution Approach:** To find the support reactions at point O, consider: 1. Calculating the gravitational force due to the mass of the beam. 2. Resolving the angled force at C into horizontal and vertical components. 3. Applying equilibrium equations for forces and moments (∑Fx = 0, ∑Fy = 0, and ∑M = 0) to solve for the reactions at O.
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