Solve 11.7 analyze each structure by moment distribution determine all reactions and draw the shear and moment diagrams, locating points of inflection and labeling values of maximum shear and moment in each span. unless otherwise noted El is constant. ** PLEASE ONLY USE DIRECT DISPLACEMENT METHOD ONLY!!**

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Structural Analysis by Moment Distribution

**Problem Statement:**
Solve 11.7 analyze each structure by moment distribution. Determine all reactions and draw the shear and moment diagrams, locating points of inflection and labeling values of maximum shear and moment in each span, unless otherwise noted EI (Flexural Rigidity) is constant.

**Instructions:**
**Please only use the Direct Displacement Method Only.**

**Diagram Details:**
The structure given in the diagram is a continuous beam with four supports: A, B, C, and D. 

- **Span between Supports:**
  - The distance from A to B is 9 feet.
  - The distance from B to C is 6 feet.
  - The distance from C to D is 15 feet.

- **Loads:**
  - There is a point load of 30 kips acting vertically downward at a distance of 6 feet from support B (closer to B).
  - There is a distributed load of 4 kips/ft acting over the 9 feet span from C to D.

### Explanation: 

1. **Support Reactions:**
   - A is a fixed support.
   - B, C, and D are roller supports.
   
2. **Steps to Solve:**
   - Use moment distribution method to determine the moments at supports.
   - Calculate reactions at each support.
   - Draw shear force diagram by integrating loads and support reactions.
   - Draw bending moment diagram by integrating shear diagram.
   - Locate points of inflection (where bending moment changes sign).
   - Label maximum values of shear and moment in each span.

Given that EI is constant, the flexural rigidity of the beam remains uniform, simplifying calculations.

This problem requires a structured analytical approach using principles of structural analysis to ensure accurate determination of internal forces and moments.
Transcribed Image Text:### Structural Analysis by Moment Distribution **Problem Statement:** Solve 11.7 analyze each structure by moment distribution. Determine all reactions and draw the shear and moment diagrams, locating points of inflection and labeling values of maximum shear and moment in each span, unless otherwise noted EI (Flexural Rigidity) is constant. **Instructions:** **Please only use the Direct Displacement Method Only.** **Diagram Details:** The structure given in the diagram is a continuous beam with four supports: A, B, C, and D. - **Span between Supports:** - The distance from A to B is 9 feet. - The distance from B to C is 6 feet. - The distance from C to D is 15 feet. - **Loads:** - There is a point load of 30 kips acting vertically downward at a distance of 6 feet from support B (closer to B). - There is a distributed load of 4 kips/ft acting over the 9 feet span from C to D. ### Explanation: 1. **Support Reactions:** - A is a fixed support. - B, C, and D are roller supports. 2. **Steps to Solve:** - Use moment distribution method to determine the moments at supports. - Calculate reactions at each support. - Draw shear force diagram by integrating loads and support reactions. - Draw bending moment diagram by integrating shear diagram. - Locate points of inflection (where bending moment changes sign). - Label maximum values of shear and moment in each span. Given that EI is constant, the flexural rigidity of the beam remains uniform, simplifying calculations. This problem requires a structured analytical approach using principles of structural analysis to ensure accurate determination of internal forces and moments.
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