### Problem Description**Objective:** Determine the location of the resultant force acting on the beam from point A. Draw a free body diagram of the beam with the resultant force and its location clearly labeled. Make sure you include the reactions at the supports in your free body diagram.### Diagram ExplanationThe diagram depicts a beam AB, which is subject to a linearly varying distributed load. The load intensity decreases from 800 N/m at point A to 500 N/m at point B. The beam is supported at point A by a pin support and at point B by a roller support, indicating that the beam is statically determinate.**Details:**- **Distributed Load:** - Load starts at 800 N/m at point A. - Load decreases linearly to 500 N/m at point B.- **Beam:** - Length: 6 meters, divided into two segments of 3 meters each.- **Supports:** - **Point A:** Pin support allowing rotation but no translation. - **Point B:** Roller support allowing horizontal translation but no vertical translation.### Instructions1. **Calculate the Resultant Force:** - Integrate the load distribution function over the length of the beam to find the resultant force. 2. **Determine the Location of the Resultant Force:** - Use the principle of moments or centroid of the loading distribution to find the location of the resultant force.3. **Draw the Free Body Diagram:** - Show the resultant force at its calculated location. - Include reactions at A and B, indicating direction and magnitude.### Solution StepsThe resultant force and its location can be found using principles of static equilibrium and geometry.

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Determine the location of the resultant force acting on the beam from point A. Draw a free body diagram of the beam with the resultant force and it's location clearly labeled. Make sure you include the reactions at the supports in your free body diagram. 800 N/m A 3 m 500 N/m 3 m B

Determine the location of the resultant force acting on the beam from point A. Draw a free body diagram of the beam with the resultant force and it's location clearly labeled. Make sure you include the reactions at the supports in your free body diagram. 800 N/m A 3 m 500 N/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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Question

### Problem Description

**Objective:**
Determine the location of the resultant force acting on the beam from point A. Draw a free body diagram of the beam with the resultant force and its location clearly labeled. Make sure you include the reactions at the supports in your free body diagram.

### Diagram Explanation

The diagram depicts a beam AB, which is subject to a linearly varying distributed load. The load intensity decreases from 800 N/m at point A to 500 N/m at point B. The beam is supported at point A by a pin support and at point B by a roller support, indicating that the beam is statically determinate.

**Details:**

- **Distributed Load:**
- Load starts at 800 N/m at point A.
- Load decreases linearly to 500 N/m at point B.

- **Beam:**
- Length: 6 meters, divided into two segments of 3 meters each.

- **Supports:**
- **Point A:** Pin support allowing rotation but no translation.
- **Point B:** Roller support allowing horizontal translation but no vertical translation.

### Instructions

1. **Calculate the Resultant Force:**
- Integrate the load distribution function over the length of the beam to find the resultant force.

2. **Determine the Location of the Resultant Force:**
- Use the principle of moments or centroid of the loading distribution to find the location of the resultant force.

3. **Draw the Free Body Diagram:**
- Show the resultant force at its calculated location.
- Include reactions at A and B, indicating direction and magnitude.

### Solution Steps

The resultant force and its location can be found using principles of static equilibrium and geometry.

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