Axial forces do not produce bending moments when calculating moments around a point in beam analysis. When summing moments about point C, all forces and applied moments must be considered, not just those to the left. It's recommended to first sketch the moment diagram without excessive values for clarity. Positive bending moments should be treated as clockwise according to engineering convention, and the area under the shear diagram indicates changes in moment. Corrections to support reactions and careful attention to calculations are essential for accurate results.