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
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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.
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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