Draw Shear & Moment diagrams 12k/f 8' in 3' B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**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.
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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