The figure below shows a loaded beam. Determine the reactions at the supports \( A \) and \( B \). Note that the origin \((x = 0)\) for the weight function \( w(x) \) is at point \( A \).The diagram depicts a beam undergoing multiple loads and supports:- The beam is supported at point \( A \) by a fixed support and at point \( B \) by a roller support.- Between points \( A \) and \( B \), there is a downward point force of \( 8 \) kips applied at a distance of \( 2 \) ft from point \( A \).- The beam stretches from point \( A \) to point \( C \), with distances marked as follows: \( 2 \) ft from \( A \) to the point of the 8 kip load, \( 2 \) ft from this point to point \( B \), and \( 2 \) ft from \( B \) to \( C \).- There is a distributed load starting at point \( B \), represented by the equation \( w = 6 + 3(x - 4)^2 \) kip/ft, acting over the segment from \( B \) to \( C \).The task is to calculate the reactions at the supports \( A \) and \( B \) considering these applied loads.

Answered: Image /qna-images/answer/1152ba25-f513-44a0-8ae4-e7eca944d040.jpgNow, apply moment equilibrium about point A.Apply force equilibrium in vertical direction.Write the answers-

Engineering

Mechanical Engineering

The figure below shows a loaded beam. Determine the reactions at the supports A and B. Note that the origin (x = 0) for the weight function w(x) is at point A. 8 kip W 2 ft 2 ft w = 6 + 3(x-4)² kip/ft B 1 ft + 1 ft C

The figure below shows a loaded beam. Determine the reactions at the supports A and B. Note that the origin (x = 0) for the weight function w(x) is at point A. 8 kip W 2 ft 2 ft w = 6 + 3(x-4)² kip/ft B 1 ft + 1 ft C

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

The figure below shows a loaded beam. Determine the reactions at the supports \( A \) and \( B \). Note that the origin \((x = 0)\) for the weight function \( w(x) \) is at point \( A \).

The diagram depicts a beam undergoing multiple loads and supports:

- The beam is supported at point \( A \) by a fixed support and at point \( B \) by a roller support.
- Between points \( A \) and \( B \), there is a downward point force of \( 8 \) kips applied at a distance of \( 2 \) ft from point \( A \).
- The beam stretches from point \( A \) to point \( C \), with distances marked as follows: \( 2 \) ft from \( A \) to the point of the 8 kip load, \( 2 \) ft from this point to point \( B \), and \( 2 \) ft from \( B \) to \( C \).
- There is a distributed load starting at point \( B \), represented by the equation \( w = 6 + 3(x - 4)^2 \) kip/ft, acting over the segment from \( B \) to \( C \).

The task is to calculate the reactions at the supports \( A \) and \( B \) considering these applied loads.

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Step 1: Draw the free-body diagram of the beam.

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Step 2: Apply force and moment equilibrium to find the reactions.

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