Draw Shear & Moment diagrams 12k/f 8' in 3' B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![**Draw Shear & Moment Diagrams**
**Problem Statement:**
Draw the Shear and Moment diagrams for the given beam configuration.
**Diagram Explanation:**
The diagram shows a simply supported beam with two supports labeled as A and B. The beam is subjected to a uniformly distributed load of \(12 \text{kips/foot}\) (12k/f) over a central span of 8 feet. The total length of the beam is divided into three segments:
- Segment AB: An initial segment of 5 feet from point A to the start of the distributed load.
- Segment BC: A middle segment of 8 feet where the distributed load is applied.
- Segment CD: A final segment of 3 feet from the end of the distributed load to point B.
The following needs to be done:
1. Calculate reactions at supports A and B.
2. Construct the Shear Force diagram for the beam.
3. Construct the Bending Moment diagram for the beam.
**Steps for Construction:**
1. **Calculate Reactions:**
- Use static equilibrium equations (\(\sum F = 0\) and \(\sum M = 0\)) to find the reactions at the supports.
2. **Shear Force Diagram:**
- Start at one end of the beam and move toward the other end.
- Add or subtract shear force values based on the loads and reactions on the beam.
3. **Moment Diagram:**
- Use the shear force values to calculate the bending moment.
- Integrate the shear force diagram to get the moment diagram.
By following the above steps, you can effectively construct the shear and moment diagrams for the given beam configuration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6abdb772-2674-4ccf-b97c-7a87bba16f16%2Fd8d8fdd2-45d1-4d76-b9b2-8bb1042a4a21%2Ff3wdzma_processed.png&w=3840&q=75)
Transcribed Image Text:**Draw Shear & Moment Diagrams**
**Problem Statement:**
Draw the Shear and Moment diagrams for the given beam configuration.
**Diagram Explanation:**
The diagram shows a simply supported beam with two supports labeled as A and B. The beam is subjected to a uniformly distributed load of \(12 \text{kips/foot}\) (12k/f) over a central span of 8 feet. The total length of the beam is divided into three segments:
- Segment AB: An initial segment of 5 feet from point A to the start of the distributed load.
- Segment BC: A middle segment of 8 feet where the distributed load is applied.
- Segment CD: A final segment of 3 feet from the end of the distributed load to point B.
The following needs to be done:
1. Calculate reactions at supports A and B.
2. Construct the Shear Force diagram for the beam.
3. Construct the Bending Moment diagram for the beam.
**Steps for Construction:**
1. **Calculate Reactions:**
- Use static equilibrium equations (\(\sum F = 0\) and \(\sum M = 0\)) to find the reactions at the supports.
2. **Shear Force Diagram:**
- Start at one end of the beam and move toward the other end.
- Add or subtract shear force values based on the loads and reactions on the beam.
3. **Moment Diagram:**
- Use the shear force values to calculate the bending moment.
- Integrate the shear force diagram to get the moment diagram.
By following the above steps, you can effectively construct the shear and moment diagrams for the given beam configuration.
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