https://r2.erweima.ai/mathbot/image/1724812332499ft4venzp.jpg

The image you provided shows a structural diagram with a beam that includes a distributed load, a point force, and supports. The problem likely involves calculating the shear force and bending moment at various points along the beam.

Here's a breakdown of the diagram:

- **Points A, B, and C**: These are key points on the beam.
- **Distributed Load**: The distributed load is between points A and B, with a magnitude of \(1 \, \text{kN/m}\).
- **Point Force**: A concentrated load of 4 kN is applied at point B.
- **Dimensions**: The length between A to B and B to C is each 3 meters.
- **Support at Point C**: This appears to be a fixed or roller support (represented by a vertical line with a base), providing vertical reactions.

### Steps to Solve the Problem:

1. **Determine Reactions at the Supports**:
   - The reaction at C (vertical reaction \(C_y\)) can be found using the equilibrium conditions (sum of moments around A or B and sum of vertical forces).

2. **Shear Force Diagram (V)**:
   - Start from point A, move towards B, considering the effect of the distributed load and then account for the point load at B.

3. **Bending Moment Diagram (M)**:
   - Use the shear force diagram to calculate the bending moment along the beam. Typically, integrate the shear force diagram or use the area under the shear force curve.

### Key Equations:

- **Equilibrium Conditions**:
  - \(\sum F_y = 0\): Sum of vertical forces.
  - \(\sum M_A = 0\): Sum of moments about point A (or any other point).

Would you like a detailed step-by-step calculation for the shear force and moment diagrams, or any specific part of the solution? Let me know!

### Related Questions:
1. How do you calculate the reaction forces for a beam with a distributed load and point load?
2. What is the difference between shear force and bending moment?
3. How does a distributed load affect the shear force along a beam?
4. What are the boundary conditions for solving beam problems with different support types?
5. How do you interpret the shear force and moment diagrams in structural analysis?

### Tip:
When solving beam problems, always start with the equilibrium conditions to find the support reactions before proceeding to draw the shear force and bending moment diagrams.

Explore how to solve a beam analysis problem involving distributed load, point force, and supports. Learn to calculate shear force and bending moment diagrams step-by-step with detailed equations and diagrams. Suitable for engineering students and professionals.

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