1. **Problem Statement:**
Solve the given statically indeterminate beam using the moment distribution method. Then, draw the shear force and bending moment diagrams.
2. **Moment Distribution Method Formula:**
The moment distribution method involves:
- Calculating fixed-end moments (FEM) for each span.
- Calculating distribution factors (DF) at each joint.
- Iteratively distributing and balancing moments until equilibrium.
3. **Key Rules:**
- Fixed-end moments are moments at the ends of members assuming fixed supports.
- Distribution factors are ratios of stiffness of each member to the total stiffness at the joint.
- Carry-over moments are half the moment distributed to the far end of the member.
4. **Step-by-step Solution:**
- Calculate fixed-end moments for all spans.
- Calculate stiffness for each member: $k = \frac{4EI}{L}$ for fixed end, $k = \frac{3EI}{L}$ for one end fixed.
- Calculate distribution factors at each joint: $DF_i = \frac{k_i}{\sum k}$.
- Start moment distribution at joints with unbalanced moments.
- Distribute moments according to distribution factors.
- Carry over half the distributed moment to the far end.
- Repeat until moments at joints are balanced (close to zero).
5. **Shear and Moment Diagrams:**
- Use the final moments to calculate shear forces in each span.
- Plot shear force diagram by plotting shear values along the beam.
- Plot bending moment diagram by plotting moments along the beam.
**Final Answer:**
The moments at each joint after distribution are: (example values)
$$M_{AB} = X, \quad M_{BC} = Y, \quad M_{CD} = Z$$
Shear and moment diagrams are drawn accordingly based on these moments.
(Note: Specific numerical values and diagrams depend on beam geometry, loads, and supports which are not provided in the prompt.)
Moment Distribution 0D6E42
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