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Pin supports, such as that at A, may have horizontal and vertical components to the support reaction. Roller supports, such as that at B, have only a vertical component. What are the support reactions for this beam? Ax = Ay = By =

Pin supports, such as that at A, may have horizontal and vertical components to the support reaction. Roller supports, such as that at B, have only a vertical component. What are the support reactions for this beam? Ax = Ay = By =

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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Pin supports, such as that at A, may have horizontal and vertical components to the support reaction. Roller supports, such as that at B, have only a vertical component. What are the support reactions for this beam?

Ax =
Ay =
By = 
The image displays a beam diagram commonly used in statics or engineering mechanics to analyze forces and moments. **Description of Diagram:** - The beam is straight, supported at two points. On the left, it appears to be pinned or hinged, allowing rotation but not translation. On the right, there is a roller support, allowing horizontal movement but no vertical displacement. - A concentrated force \( P \) acts vertically downward on the beam at a specified point between the supports. - A uniformly distributed load \( w \) is applied over a distance \( a \) from the left end of the beam. - The total length of the beam is labeled as \( L \). - The segment \( b \) represents the horizontal distance from the point of load \( P \) to the right end of the beam. **Parameters:** - \( w \): Magnitude of the uniform load per unit length. - \( P \): Magnitude of the concentrated load. - \( a \): Distance from the left support to the start of the distributed load. - \( b \): Distance from the point of force \( P \) to the right support. - \( L \): Total length of the beam from left to right support. This setup is typically used to calculate reactions at the supports, bending moments, shear forces, and deflections at specific points along the beam.
Transcribed Image Text:The image displays a beam diagram commonly used in statics or engineering mechanics to analyze forces and moments. **Description of Diagram:** - The beam is straight, supported at two points. On the left, it appears to be pinned or hinged, allowing rotation but not translation. On the right, there is a roller support, allowing horizontal movement but no vertical displacement. - A concentrated force \( P \) acts vertically downward on the beam at a specified point between the supports. - A uniformly distributed load \( w \) is applied over a distance \( a \) from the left end of the beam. - The total length of the beam is labeled as \( L \). - The segment \( b \) represents the horizontal distance from the point of load \( P \) to the right end of the beam. **Parameters:** - \( w \): Magnitude of the uniform load per unit length. - \( P \): Magnitude of the concentrated load. - \( a \): Distance from the left support to the start of the distributed load. - \( b \): Distance from the point of force \( P \) to the right support. - \( L \): Total length of the beam from left to right support. This setup is typically used to calculate reactions at the supports, bending moments, shear forces, and deflections at specific points along the beam.
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