What is the magnitude of the resultant force equivalent the distributed load applied to this beam (kN)?

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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### Transcription for Educational Website:

#### Diagram Explanation:

The image shows a simply supported beam with a non-uniform distributed load. The beam is labeled with two support points, A and B. 

- **Support A**: Situated on the left end of the beam.
- **Support B**: Located 4 meters from support A along the beam.

The total length of the beam is 6 meters from point A to point x on the right side.

#### Load Distribution:

The distributed load changes linearly along the beam:

- At the left end (point A), the load starts at 2 kN/m.
- At point x, 6 meters from A, the load increases to 5 kN/m.

The distributed load is represented by several downward arrows, which illustrate the direction of the load acting on the beam.

#### Problem Statement:

The question accompanying the diagram asks:

"What is the magnitude of the resultant force equivalent to the distributed load applied to this beam (kN)?"

This requires calculating the total force resulting from integrating the varying load over the length of the beam.
Transcribed Image Text:### Transcription for Educational Website: #### Diagram Explanation: The image shows a simply supported beam with a non-uniform distributed load. The beam is labeled with two support points, A and B. - **Support A**: Situated on the left end of the beam. - **Support B**: Located 4 meters from support A along the beam. The total length of the beam is 6 meters from point A to point x on the right side. #### Load Distribution: The distributed load changes linearly along the beam: - At the left end (point A), the load starts at 2 kN/m. - At point x, 6 meters from A, the load increases to 5 kN/m. The distributed load is represented by several downward arrows, which illustrate the direction of the load acting on the beam. #### Problem Statement: The question accompanying the diagram asks: "What is the magnitude of the resultant force equivalent to the distributed load applied to this beam (kN)?" This requires calculating the total force resulting from integrating the varying load over the length of the beam.
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