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The question appears to be from a statics problem, asking for the forces in each member of a structure composed of segments \( AB \), \( BC \), and \( BD \). The structure includes a semicircular arc and various forces, including a downward force labeled \( L \) at point \( D \).

Here’s a structured approach to solving it:

1. **Identify Reaction Forces at Supports**:
   - Point \( A \) is likely a fixed or pinned support, which could provide both horizontal and vertical reaction components.
   - Point \( C \) seems to have a roller support, allowing movement along the horizontal axis but providing a vertical reaction.

2. **Analyze Each Member**:
   - Segment \( AB \): This segment may experience compression or tension based on the direction of the external force \( L \).
   - Segment \( BD \): Since \( BD \) is an arc, it would involve analyzing both radial (normal) forces and tangential forces due to the shape.
   - Segment \( BC \): This would typically handle compression or tension as a horizontal member connecting points \( B \) and \( C \).

3. **Free Body Diagram (FBD)**:
   - Draw a separate FBD for each segment (AB, BC, and BD).
   - Show the applied force \( L \) acting downward at \( D \).
   - Include reaction forces at \( A \) (horizontal and vertical) and at \( C \) (vertical only).
   - Add internal forces within each member as either tensile or compressive forces, depending on the structural analysis.

4. **Equilibrium Equations**:
   - Use the equations of static equilibrium: \(\sum F_x = 0\), \(\sum F_y = 0\), and \(\sum M = 0\) at key points to solve for unknowns.
   - Focus on moments about \( A \) or \( C \) to reduce the number of variables initially.

Would you like a detailed step-by-step solution for each part, or do you need help setting up the equations for equilibrium? 

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### Additional Questions
1. How does the curved shape of member \( BD \) affect the force distribution?
2. What would be the effect if the applied force \( L \) changed direction?
3. How would the problem change if there were no roller support at \( C \)?
4. Can you identify the type of forces (tension or compression) in each member after setting up the equilibrium?
5. How would adding an additional horizontal force at \( D \) impact the analysis?

### Tip:
Always start with a clear free-body diagram to visualize all forces and simplify calculations.

Determine the forces in members BD, BC, and AB in the given structure based on the diagram.

Analyze the forces in a structure with members BD, BC, and AB using statics principles. This engineering problem covers equilibrium of forces and involves creating a free-body diagram. Suitable for university engineering students.

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