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

**Problem #4**

**Given:**
- A beam with a total length of 40 feet is subject to various forces. 
- There is a uniformly distributed load of 9 kips per foot over a span of 20 feet in the center of the beam.
- A point load of 48 kips is applied at the left end of the beam.
- A moment of 240 foot-kips is applied at the right end of the beam.

**Beam Supports:**
- Support A is located at the left end, 10 feet from the start of the beam.
- Support B is located 20 feet from Support A, providing a pin support.
- Support C is located 10 feet from Support B, providing a roller support.

**Objective:**
Determine the reactions at supports, and draw the shear force diagram, moment diagram, and the qualitative deflected shape of the beam shown above.

---
**Notes for Analysis:**

1. **Reaction Forces:** 
   - Calculate the reactions at supports A, B, and C due to the applied loads and moments.

2. **Shear Force Diagram:**
   - Create a diagram to represent the shear force along the length of the beam.

3. **Moment Diagram:**
   - Construct a diagram indicating the bending moments along the beam.

4. **Deflected Shape:**
   - Illustrate the qualitative deflection showing how the beam is expected to bend under the loading conditions. 

This problem is essential for understanding the principles of statics and structural analysis, showcasing how a beam responds to multiple types of loading and support conditions.
Transcribed Image Text:**Beam Analysis Problem** **Problem #4** **Given:** - A beam with a total length of 40 feet is subject to various forces. - There is a uniformly distributed load of 9 kips per foot over a span of 20 feet in the center of the beam. - A point load of 48 kips is applied at the left end of the beam. - A moment of 240 foot-kips is applied at the right end of the beam. **Beam Supports:** - Support A is located at the left end, 10 feet from the start of the beam. - Support B is located 20 feet from Support A, providing a pin support. - Support C is located 10 feet from Support B, providing a roller support. **Objective:** Determine the reactions at supports, and draw the shear force diagram, moment diagram, and the qualitative deflected shape of the beam shown above. --- **Notes for Analysis:** 1. **Reaction Forces:** - Calculate the reactions at supports A, B, and C due to the applied loads and moments. 2. **Shear Force Diagram:** - Create a diagram to represent the shear force along the length of the beam. 3. **Moment Diagram:** - Construct a diagram indicating the bending moments along the beam. 4. **Deflected Shape:** - Illustrate the qualitative deflection showing how the beam is expected to bend under the loading conditions. This problem is essential for understanding the principles of statics and structural analysis, showcasing how a beam responds to multiple types of loading and support conditions.
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