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A) Draw a free body diagram of the bar AB. B) Compute the reactions at A and B.

A) Draw a free body diagram of the bar AB. B) Compute the reactions at A and B.

Elements Of Electromagnetics
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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### Diagram Description The image depicts a beam labeled as AB resting on two supports, with several forces acting on it. Key details are as follows: - **Beam Details:** - The beam rests horizontally on two supports, with point A on the left and point B on the right. - The beam length between the supports is 10 feet. - **Forces Acting on the Beam:** - At point A, there is a counter-clockwise moment shown as 6000 ft-lb. - A uniformly distributed load is applied on the beam from point A to point B, with a magnitude of 400 lb/ft. - At point B, a downward point load of 1000 lb is applied. - **Support Distances:** - The distance from the left end of the beam to the first support at point A is 3 feet. - The distance from the right end, point B, to the nearest support is 2 feet. ### Tasks **A) Draw a free body diagram of the bar AB.** The free body diagram should depict: - The beam represented as a straight horizontal line. - All applied forces, including the distributed load (illustrated as a set of downward arrows along the beam), the point load at B, and the moment at A. - The reactions at the supports, which you'll need to compute. **B) Compute the reactions at A and B.** This involves calculating the forces exerted by the supports to hold the beam in equilibrium. Consider the equilibrium conditions for moments and forces in horizontal and vertical directions.
Transcribed Image Text:### Diagram Description The image depicts a beam labeled as AB resting on two supports, with several forces acting on it. Key details are as follows: - **Beam Details:** - The beam rests horizontally on two supports, with point A on the left and point B on the right. - The beam length between the supports is 10 feet. - **Forces Acting on the Beam:** - At point A, there is a counter-clockwise moment shown as 6000 ft-lb. - A uniformly distributed load is applied on the beam from point A to point B, with a magnitude of 400 lb/ft. - At point B, a downward point load of 1000 lb is applied. - **Support Distances:** - The distance from the left end of the beam to the first support at point A is 3 feet. - The distance from the right end, point B, to the nearest support is 2 feet. ### Tasks **A) Draw a free body diagram of the bar AB.** The free body diagram should depict: - The beam represented as a straight horizontal line. - All applied forces, including the distributed load (illustrated as a set of downward arrows along the beam), the point load at B, and the moment at A. - The reactions at the supports, which you'll need to compute. **B) Compute the reactions at A and B.** This involves calculating the forces exerted by the supports to hold the beam in equilibrium. Consider the equilibrium conditions for moments and forces in horizontal and vertical directions.
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