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Draw the shear diagram for the following beam

Draw the shear diagram for the following beam

Structural Analysis
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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Draw the shear diagram for the following beam 

The diagram represents a simple beam with multiple forces acting on it, commonly used in structural analysis in engineering. ### Description of the Beam: - **Points:** - \( A \), \( B \), \( C \), and \( D \) are points along the beam. - The distance between each point is \( 5' \) (5 feet). - **Reactions:** - At point \( A \), there is a horizontal reaction force denoted as \( A_x = 0 \) and a vertical reaction force \( A_y = 9 \text{k} \) (9 kips). - **Loads:** - At point \( B \), there is a vertical concentrated load of \( 8 \text{k} \) (8 kips) acting downward. - At point \( C \), there is a vertical concentrated load of \( 6 \text{k} \) (6 kips) acting downward. - Between points \( C \) and \( D \), there is a uniformly distributed load of \( 2 \text{k/ft} \) (2 kips per foot), extending over \( 5' \). - **Support:** - At point \( D \), there is a vertical reaction force denoted as \( D_y = 15 \text{k} \) (15 kips). ### Notes: - The beam is supported at points \( A \) and \( D \), which experience reactions due to the applied loads. - The uniform load between \( C \) and \( D \) is distributed evenly over its length, adding to the complexity of analysis. This diagram is typical for demonstrating equilibrium and force balance in beam analysis, requiring calculation of reactions at supports and internal forces/moments within the beam structure.
Transcribed Image Text:The diagram represents a simple beam with multiple forces acting on it, commonly used in structural analysis in engineering. ### Description of the Beam: - **Points:** - \( A \), \( B \), \( C \), and \( D \) are points along the beam. - The distance between each point is \( 5' \) (5 feet). - **Reactions:** - At point \( A \), there is a horizontal reaction force denoted as \( A_x = 0 \) and a vertical reaction force \( A_y = 9 \text{k} \) (9 kips). - **Loads:** - At point \( B \), there is a vertical concentrated load of \( 8 \text{k} \) (8 kips) acting downward. - At point \( C \), there is a vertical concentrated load of \( 6 \text{k} \) (6 kips) acting downward. - Between points \( C \) and \( D \), there is a uniformly distributed load of \( 2 \text{k/ft} \) (2 kips per foot), extending over \( 5' \). - **Support:** - At point \( D \), there is a vertical reaction force denoted as \( D_y = 15 \text{k} \) (15 kips). ### Notes: - The beam is supported at points \( A \) and \( D \), which experience reactions due to the applied loads. - The uniform load between \( C \) and \( D \) is distributed evenly over its length, adding to the complexity of analysis. This diagram is typical for demonstrating equilibrium and force balance in beam analysis, requiring calculation of reactions at supports and internal forces/moments within the beam structure.
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