4-166. Replace the loading by an equivalent resultant force and couple moment acting at point A.
4-166. Replace the loading by an equivalent resultant force and couple moment acting at point A.
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
change the first 3m length to 4.5 m and the second 3m length to 7.5 m
![**Problem 4-166:**
Replace the loading by an equivalent resultant force and couple moment acting at point A.
**Diagram Explanation:**
The diagram illustrates a simply supported beam AB with a length of 6 meters. There is a triangular distributed load along the beam, starting from 400 N/m at point A and tapering off to zero just before point B.
- **Beam and Supports:**
- The beam is horizontal and extends from point A to point B.
- Point A is on the left, with a roller support.
- Point B is on the right, with a pin support.
- **Loading:**
- The triangular load is uniformly distributed from point A up to the midpoint of the beam, 3 meters from A.
- The intensity of the load decreases linearly from 400 N/m at A to 0 N/m before reaching point B.
The objective is to calculate the equivalent resultant force and resulting couple moment that would replace the triangular distributed load, applied at point A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe38bb56b-da42-44ea-a3d9-c87319b95f18%2F9dc32199-df8e-410d-8af1-891d649408f4%2Fco76krq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4-166:**
Replace the loading by an equivalent resultant force and couple moment acting at point A.
**Diagram Explanation:**
The diagram illustrates a simply supported beam AB with a length of 6 meters. There is a triangular distributed load along the beam, starting from 400 N/m at point A and tapering off to zero just before point B.
- **Beam and Supports:**
- The beam is horizontal and extends from point A to point B.
- Point A is on the left, with a roller support.
- Point B is on the right, with a pin support.
- **Loading:**
- The triangular load is uniformly distributed from point A up to the midpoint of the beam, 3 meters from A.
- The intensity of the load decreases linearly from 400 N/m at A to 0 N/m before reaching point B.
The objective is to calculate the equivalent resultant force and resulting couple moment that would replace the triangular distributed load, applied at point A.
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