Please see photo for question Title: Calculating the Resultant Force on a Beam**Objective:** Replace the loading by a single resultant force, and specify its location on the beam measured from point A. Provide the answer to 2 decimal places.**Description:**In this problem, we are presented with a beam subjected to a distributed load. The task is to simplify this loading system into a single resultant force and determine its position from a specific point on the beam—point A.**Diagram Explanation:**The diagram shows a horizontal beam, denoted by points A and B. The beam is under a linearly varying distributed load, starting at a peak intensity of 800 N/m at point B and tapering down to zero as it approaches point A.- **Beam configuration:** - The beam is divided into two segments: - The first segment (closer to point A) is 3 meters in length. - The second segment (closer to point B) is 4 meters in length, making the total length of the beam 7 meters.- **Load detail:** - The distributed load is represented by arrows pointing downward, indicating the force exerted on the beam. The highest intensity of 800 N/m is at point B, decreasing linearly towards A.**Steps to Solve:**To find the single resultant force:1. Calculate the area under the load distribution graph to find the magnitude of the resultant force.2. Determine the centroid of this area to locate the point of action of the resultant force from point A.The resultant force is derived by integrating the distributed load over the beam's length, while its position is found through moment calculations relative to point A.

Answered: Image /qna-images/answer/8a29bb30-7051-4350-aead-816bd705de92.jpg

Answered: Replace the loading by a single…

Replace the loading by a single resultant force, and specify its location on the beam measured from point A. Give the answer to 2 decimal places. 800 N/m 3 m 4 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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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

Please see photo for question

Title: Calculating the Resultant Force on a Beam

**Objective:**
Replace the loading by a single resultant force, and specify its location on the beam measured from point A. Provide the answer to 2 decimal places.

**Description:**

In this problem, we are presented with a beam subjected to a distributed load. The task is to simplify this loading system into a single resultant force and determine its position from a specific point on the beam—point A.

**Diagram Explanation:**

The diagram shows a horizontal beam, denoted by points A and B. The beam is under a linearly varying distributed load, starting at a peak intensity of 800 N/m at point B and tapering down to zero as it approaches point A.

- **Beam configuration:**
- The beam is divided into two segments:
- The first segment (closer to point A) is 3 meters in length.
- The second segment (closer to point B) is 4 meters in length, making the total length of the beam 7 meters.

- **Load detail:**
- The distributed load is represented by arrows pointing downward, indicating the force exerted on the beam. The highest intensity of 800 N/m is at point B, decreasing linearly towards A.

**Steps to Solve:**

To find the single resultant force:
1. Calculate the area under the load distribution graph to find the magnitude of the resultant force.
2. Determine the centroid of this area to locate the point of action of the resultant force from point A.

The resultant force is derived by integrating the distributed load over the beam's length, while its position is found through moment calculations relative to point A.

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