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?

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.