How to solve for the centroid of the composite body using the principle of moments and treat each part as a finite element of the whole figure (show a step by step solution) **Problem 6.6** - Determine a) the magnitude and location of the resultant of the distributed load; and b) the reactions at supports A and B.### Diagram Explanation:The diagram depicts a simply supported beam subjected to a linearly varying distributed load. - The beam is supported at two points: A (left end) and B (right end).- The distributed load starts at 200 lb/ft at support A and decreases linearly to 50 lb/ft at support B.- The total span of the beam is 12 ft.- The distributed load is represented by a triangular loading pattern.### Tasks:- **Part a)** Calculate the magnitude and location of the resultant force due to the distributed load.- **Part b)** Determine the reaction forces at supports A and B.

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Answered: Problem 6.6 - Determine a) the…

Problem 6.6 - Determine a) the magnitude and location of the resultant of the distributed load, and b) the reactions at supports A and B.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

How to solve for the centroid of the composite body using the principle of moments and treat each part as a finite element of the whole figure (show a step by step solution)

**Problem 6.6** - Determine a) the magnitude and location of the resultant of the distributed load; and b) the reactions at supports A and B.

### Diagram Explanation:

The diagram depicts a simply supported beam subjected to a linearly varying distributed load.

- The beam is supported at two points: A (left end) and B (right end).
- The distributed load starts at 200 lb/ft at support A and decreases linearly to 50 lb/ft at support B.
- The total span of the beam is 12 ft.
- The distributed load is represented by a triangular loading pattern.

### Tasks:

- **Part a)** Calculate the magnitude and location of the resultant force due to the distributed load.
- **Part b)** Determine the reaction forces at supports A and B.

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