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
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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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.
Transcribed Image Text: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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