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.

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Answered: 4-166. Replace the loading by an…

Engineering

Mechanical Engineering

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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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

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.

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