Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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### 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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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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