400 N/m 3 m + 3 m - B

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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Determine the magnitude and location of the equivalent resultant of force.
 
 
 
### Diagram Explanation:

This diagram illustrates a beam subjected to a linearly varying distributed load. The beam, labeled as \( AB \), is supported at points \( A \) and \( B \), which appear to be a roller support at \( A \) and a pinned support at \( B \).

#### Key Features:

1. **Distributed Load:**
   - The load is shown as linearly decreasing from left to right.
   - The load intensity starts at \( 400 \, \text{N/m} \) at the left end.
   - Arrows indicate the direction of the load acting vertically downward.

2. **Dimensions:**
   - The beam is divided into two equal sections, each measuring \( 3 \, \text{m} \).
   - The total length of the beam \( AB \) is \( 6 \, \text{m} \).

3. **Supports:**
   - \( A \): A roller support that allows for horizontal movement but restricts vertical movement.
   - \( B \): A pinned support that restricts both vertical and horizontal movement.

The diagram is likely used to study the effects of distributed loads on the reactions at the supports and the internal forces within the beam.
Transcribed Image Text:### Diagram Explanation: This diagram illustrates a beam subjected to a linearly varying distributed load. The beam, labeled as \( AB \), is supported at points \( A \) and \( B \), which appear to be a roller support at \( A \) and a pinned support at \( B \). #### Key Features: 1. **Distributed Load:** - The load is shown as linearly decreasing from left to right. - The load intensity starts at \( 400 \, \text{N/m} \) at the left end. - Arrows indicate the direction of the load acting vertically downward. 2. **Dimensions:** - The beam is divided into two equal sections, each measuring \( 3 \, \text{m} \). - The total length of the beam \( AB \) is \( 6 \, \text{m} \). 3. **Supports:** - \( A \): A roller support that allows for horizontal movement but restricts vertical movement. - \( B \): A pinned support that restricts both vertical and horizontal movement. The diagram is likely used to study the effects of distributed loads on the reactions at the supports and the internal forces within the beam.
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