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The image shows a mechanical engineering problem related to the analysis of a simply supported beam. The beam is subject to several loads, including point and distributed loads, and is supported at two points (A and F). The problem asks for the following:

### Question 1 (25 Marks)
A simply supported beam is loaded as shown in **Figure 1**.

1. **Reactions at the supports**: Calculate the reactions at supports A and F. [8 marks]
2. **Shear force and bending moment values**: Calculate these values at points A, B, C, D, E, and F. [5 marks]
3. **Shear force and bending moment diagrams**: Draw the diagrams for the entire beam. [5 marks]
4. **Maximum shear force and location**: Identify the section where maximum shear force occurs. [3 marks]
5. **Maximum bending moment and location**: Determine the maximum bending moment and where it occurs. [4 marks]

### Beam Specifications:
- **Point Loads**: 
  - 40 kN at point A.
  - 60 kN at point F.
- **Distributed Load**: 
  - A 20 kN/m load distributed over the section from B to D, spanning 4 meters.
- **Length of Beam**: The total length is 9 meters with intervals shown as follows:
  - From A to B: 1 meter.
  - From B to C: 1 meter.
  - From C to D: 4 meters (where the distributed load applies).
  - From D to E: 2 meters.
  - From E to F: 1 meter.

### Plan for Solving:
1. **Step 1 - Reaction Forces**: Use equilibrium equations (sum of moments and sum of forces) to calculate the reaction forces at the supports A and F.
   
2. **Step 2 - Shear Force and Bending Moment**: Calculate the shear force and bending moment at each key point (A, B, C, D, E, F).

3. **Step 3 - Diagrams**: Draw shear force and bending moment diagrams.

4. **Step 4 - Maximum Values**: Identify the maximum shear force and bending moment and the corresponding sections of the beam.

Would you like to begin by calculating the reaction forces at the supports, or do you have a different focus in mind for the solution?

Also, here are some related questions to consider:
1. How are reaction forces at the supports calculated using moments and forces?
2. What is the relationship between shear force and bending moment in beam analysis?
3. Why is it important to identify the locations of maximum shear force and bending moment?
4. How does a distributed load affect shear force and bending moment differently than point loads?
5. What assumptions are typically made when analyzing a simply supported beam?

**Tip**: Always start by identifying the reactions at the supports, as they are the key to solving the rest of the problem.

A simply supported beam is loaded as shown in Figure 1. Calculate the reactions at the supports, shear force and bending moment values at specific points, and draw the diagrams.

Learn how to analyze a simply supported beam subjected to various loads, including point and distributed loads. This problem covers calculating reactions, shear force, and bending moment values at key points, and drawing the respective diagrams.

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