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7) Find the reactions developed at A,E, and B. A 900 N/m -3m- -3m- |C 4 m 900 N/m B +3m--3m-

7) Find the reactions developed at A,E, and B. A 900 N/m -3m- -3m- |C 4 m 900 N/m B +3m--3m-

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 7: Find the reactions developed at A, E, and B.** **Description**: The diagram illustrates a beam supported in several locations with distributed loads and concentrated forces applied. The beam is pinned at point A and point E. The loads and dimensions are detailed as follows: - **Distributed Load**: - From A to C: A triangular distributed load decreasing from 900 N/m to 0 over a distance of 6 meters (from 3 m to 3 m). - From D to B: A rectangular distributed load of 900 N/m over a distance of 6 meters (from 3 m to 3 m). - **Beam Segments**: - Span from A to C (3 meters each between A and C, total 6 meters). - Span from C to D (4 meters between C and D). - Span from D to E (3 meters between D and E). - Span from E to B (3 meters between E and B). **Objective**: Determine the reactions at supports A, E, and B due to the applied distributed loads. **Approach**: 1. Analyze the effects of distributed loads by finding equivalent point loads. 2. Use equilibrium equations (ΣF = 0 and ΣM = 0) to solve for reactions at the supports. **Analysis**: - Convert the triangular and rectangular distributed loads to point loads. - Apply equilibrium equations to find reactions at specified points.
Transcribed Image Text:**Problem 7: Find the reactions developed at A, E, and B.** **Description**: The diagram illustrates a beam supported in several locations with distributed loads and concentrated forces applied. The beam is pinned at point A and point E. The loads and dimensions are detailed as follows: - **Distributed Load**: - From A to C: A triangular distributed load decreasing from 900 N/m to 0 over a distance of 6 meters (from 3 m to 3 m). - From D to B: A rectangular distributed load of 900 N/m over a distance of 6 meters (from 3 m to 3 m). - **Beam Segments**: - Span from A to C (3 meters each between A and C, total 6 meters). - Span from C to D (4 meters between C and D). - Span from D to E (3 meters between D and E). - Span from E to B (3 meters between E and B). **Objective**: Determine the reactions at supports A, E, and B due to the applied distributed loads. **Approach**: 1. Analyze the effects of distributed loads by finding equivalent point loads. 2. Use equilibrium equations (ΣF = 0 and ΣM = 0) to solve for reactions at the supports. **Analysis**: - Convert the triangular and rectangular distributed loads to point loads. - Apply equilibrium equations to find reactions at specified points.
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