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Draw the shear and bending-moment diagrams for the beam. 50 lb/ft 200 lb-ft A B 20 ft 10 ft

Draw the shear and bending-moment diagrams for the beam. 50 lb/ft 200 lb-ft A B 20 ft 10 ft

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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**Title: Drawing Shear and Bending-Moment Diagrams for Beams** **Problem Statement:** Draw the shear and bending-moment diagrams for the given beam. **Description of the Beam:** - **Supports and Loads:** - The beam is simply supported at point \(A\) on the left (pinned connection) and has a roller support at point \(B\). - There is a uniformly distributed load of \(50 \, \text{lb/ft}\) extending between points \(A\) and \(B\). - At the right end of the beam, point \(C\), there is a clockwise moment of \(200 \, \text{lb} \cdot \text{ft}\). - **Dimensions:** - The distance from point \(A\) to point \(B\) is \(20 \, \text{ft}\). - The distance from point \(B\) to point \(C\) is \(10 \, \text{ft}\). **Explanation for Drawing the Diagrams:** 1. **Shear Force Diagram:** - Calculate the reactions at the supports \(A\) and \(B\). - Plot the shear force starting from \(A\) moving towards \(C\), considering the effect of the distributed load and the reactions. - The change in shear force is linearly decreasing due to the distributed load. - At point \(B\), the shear force will account for the reaction at \(B\). 2. **Bending Moment Diagram:** - Start from point \(A\) with a moment of zero. - Calculate the moment at various points along the beam, such as at supports and under the distributed load. - The moment at point \(C\) includes the additional effect of the applied moment of \(200 \, \text{lb} \cdot \text{ft}\). These diagrams will provide insight into the internal forces and moments the beam experiences under the applied loading conditions.
Transcribed Image Text:**Title: Drawing Shear and Bending-Moment Diagrams for Beams** **Problem Statement:** Draw the shear and bending-moment diagrams for the given beam. **Description of the Beam:** - **Supports and Loads:** - The beam is simply supported at point \(A\) on the left (pinned connection) and has a roller support at point \(B\). - There is a uniformly distributed load of \(50 \, \text{lb/ft}\) extending between points \(A\) and \(B\). - At the right end of the beam, point \(C\), there is a clockwise moment of \(200 \, \text{lb} \cdot \text{ft}\). - **Dimensions:** - The distance from point \(A\) to point \(B\) is \(20 \, \text{ft}\). - The distance from point \(B\) to point \(C\) is \(10 \, \text{ft}\). **Explanation for Drawing the Diagrams:** 1. **Shear Force Diagram:** - Calculate the reactions at the supports \(A\) and \(B\). - Plot the shear force starting from \(A\) moving towards \(C\), considering the effect of the distributed load and the reactions. - The change in shear force is linearly decreasing due to the distributed load. - At point \(B\), the shear force will account for the reaction at \(B\). 2. **Bending Moment Diagram:** - Start from point \(A\) with a moment of zero. - Calculate the moment at various points along the beam, such as at supports and under the distributed load. - The moment at point \(C\) includes the additional effect of the applied moment of \(200 \, \text{lb} \cdot \text{ft}\). These diagrams will provide insight into the internal forces and moments the beam experiences under the applied loading conditions.
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