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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab46a0ea-17d6-40e4-a6a7-497d3a3101a5%2Fbfb1e5f9-1cbb-4bb6-9848-3565f960aea5%2Fw6pu2zc_processed.png&w=3840&q=75)
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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