● Analyze the following structure using the Flexibility Method. EI is constant. Compute all support reactions Draw the complete FBD Draw V, M, and qualitative deflected shape diagrams. On the released structure, sketch deflected shapes with all flexibility coefficients and relevant deflections/rotations labelled. 24 ft. 1 kip/ft. 16 ft.
● Analyze the following structure using the Flexibility Method. EI is constant. Compute all support reactions Draw the complete FBD Draw V, M, and qualitative deflected shape diagrams. On the released structure, sketch deflected shapes with all flexibility coefficients and relevant deflections/rotations labelled. 24 ft. 1 kip/ft. 16 ft.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Structural Analysis Using Flexibility Method
#### Task Description:
Analyze the following structure using the Flexibility Method. The constant EI is assumed for the structure.
#### Steps to Follow:
1. **Compute all support reactions:**
- Determine the reactions at each support point, ensuring equilibrium is maintained throughout the structure.
2. **Draw the complete FBD (Free Body Diagram):**
- Create a detailed Free Body Diagram illustrating all forces, moments, and support reactions.
3. **Draw V, M, and qualitative deflected shape diagrams:**
- **V (Shear Force Diagram):** Show how shear forces vary along the length of the structure.
- **M (Bending Moment Diagram):** Indicate the bending moments experienced by the structure at various points.
- **Deflected Shape Diagram:** Provide a qualitative sketch of how the structure would deform under the applied loads.
4. **On the released structure, sketch deflected shapes with all flexibility coefficients and relevant deflections/rotations labeled:**
- Illustrate the deflected shapes, ensuring all flexibility coefficients (related to structural stiffness and displacement) are indicated and labeled with corresponding figures.
#### Structure Analysis Diagram:
- **Support Configuration:**
- Left support (at the left-most side of the beam) is a fixed support.
- Right support (at point C on the far-right end) is pinned.
- Middle support (at point B) is a roller support.
- **Load Applied:**
- A uniform distributed load of \(1 \text{ kip/ft}\) is applied along the segment BC.
- **Dimensions:**
- Distance from the left support to point B is \(24 \text{ ft}\).
- Distance from point B to point C (span of uniform load) is \(16 \text{ ft}\).
By following these steps and using the provided data, a comprehensive analysis of the structural behavior under the described load can be achieved.
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